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VectorGraphics :: translation

translation -- Computes a translation matrix

Synopsis

Description

Produces a translation encoded as a 4x4 matrix that can be used as an argument to TransformMatrix or AnimMatrix. The vector can be 2d or 3d.

i1 : v={vector{7.456, 5.201, -4.166}, vector{2.7263, -2.992, 9.144},
        vector{-8.130, 5.783, 0.671}, vector {-2.052, -7.993, -5.649}};
i2 : f={{v#2,v#1,v#0},{v#0,v#1,v#3},{v#0,v#3,v#2},{v#1,v#2,v#3}};
i3 : tetra=gList(apply(4,i->Polygon{f#i,"fill"=>"white"}))

o3 = tetra

o3 : GraphicsList
i4 : g = memoize(n -> if n==0 then tetra else gList apply(4,i->g(n-1)++{TransformMatrix=>translation(2^(n-1)*v#i)}))

o4 = g

o4 : FunctionClosure
i5 : apply(4,g)

o5 = {tetra, GraphicsList{cache => CacheTable{}                                                                         
                          Contents => {GraphicsList{cache => CacheTable{}                                               
                                                    Contents => {Polygon{cache => CacheTable{}                        },
                                                                         fill => white                                  
                                                                         Is3d => true                                   
                                                                         Points => {| -8.13 |, | 2.7263 |, |  7.456 |}  
                                                                                    | 5.783 |  | -2.992 |  |  5.201 |   
                                                                                    |  .671 |  |  9.144 |  | -4.166 |   
                                                                                    |   1   |  |    1   |  |    1   |   
                                                    Is3d => true                                                        
                                                    TransformMatrix => | 1 0 0 7.456  |                                 
                                                                       | 0 1 0 5.201  |                                 
                                                                       | 0 0 1 -4.166 |                                 
                                                                       | 0 0 0 1      |                                 
                          Is3d => true                                                                                  
                                                                                                                        
                                                                                                                        
                                                                                                                        
                                                                                                                        
                                                                                                                        
                                                                                                                        
                                                                                                                        
                                                                                                                        
                                                                                                                        
                                                                                                                        
                                                                                                                        
                                                                                                                        
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                     
                                                                                                                     
     Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}                        },
             fill => white                                            fill => white                                  
             Is3d => true                                             Is3d => true                                   
             Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13 |}  
                        |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783 |   
                        | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |   
                        |    1   |  |    1   |  |    1   |                       |    1   |  |    1   |  |   1   |   
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                               
                                                            }, GraphicsList{cache => CacheTable{}                              
     Polygon{cache => CacheTable{}                        }}                Contents => {Polygon{cache => CacheTable{}         
             fill => white                                                                       fill => white                 
             Is3d => true                                                                        Is3d => true                  
             Points => {| 2.7263 |, | -8.13 |, | -2.052 |}                                       Points => {| -8.13 |, | 2.7263
                        | -2.992 |  | 5.783 |  | -7.993 |                                                   | 5.783 |  | -2.992
                        |  9.144 |  |  .671 |  | -5.649 |                                                   |  .671 |  |  9.144
                        |    1   |  |   1   |  |    1   |                                                   |   1   |  |    1  
                                                                            Is3d => true                                       
                                                                            TransformMatrix => | 1 0 0 2.7263 |                
                                                                                               | 0 1 0 -2.992 |                
                                                                                               | 0 0 1 9.144  |                
                                                                                               | 0 0 0 1      |                
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                                                                                               
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                 
                                                                                                                                 
                   }, Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}                     
                              fill => white                                            fill => white                             
                              Is3d => true                                             Is3d => true                              
     |, |  7.456 |}           Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13
     |  |  5.201 |                       |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783
     |  | -4.166 |                       | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 |  |  .671
     |  |    1   |                       |    1   |  |    1   |  |    1   |                       |    1   |  |    1   |  |   1  
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                             
                                                                 }, GraphicsList{cache => CacheTable{}                       
       }, Polygon{cache => CacheTable{}                        }}                Contents => {Polygon{cache => CacheTable{}  
                  fill => white                                                                       fill => white          
                  Is3d => true                                                                        Is3d => true           
     |}           Points => {| 2.7263 |, | -8.13 |, | -2.052 |}                                       Points => {| -8.13 |, |
     |                       | -2.992 |  | 5.783 |  | -7.993 |                                                   | 5.783 |  |
     |                       |  9.144 |  |  .671 |  | -5.649 |                                                   |  .671 |  |
     |                       |    1   |  |   1   |  |    1   |                                                   |   1   |  |
                                                                                 Is3d => true                                
                                                                                 TransformMatrix => | 1 0 0 -8.13 |          
                                                                                                    | 0 1 0 5.783 |          
                                                                                                    | 0 0 1 .671  |          
                                                                                                    | 0 0 0 1     |          
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                
                                                                                                                                
                          }, Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}             
                                     fill => white                                            fill => white                     
                                     Is3d => true                                             Is3d => true                      
     2.7263 |, |  7.456 |}           Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |,
     -2.992 |  |  5.201 |                       |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 | 
      9.144 |  | -4.166 |                       | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 | 
        1   |  |    1   |                       |    1   |  |    1   |  |    1   |                       |    1   |  |    1   | 
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
     ----------------------------------------------------------------------------------------------------------------------------
                                                                           
                                                                         },
               }, Polygon{cache => CacheTable{}                        }}  
                          fill => white                                    
                          Is3d => true                                     
     | -8.13 |}           Points => {| 2.7263 |, | -8.13 |, | -2.052 |}    
     | 5.783 |                       | -2.992 |  | 5.783 |  | -7.993 |     
     |  .671 |                       |  9.144 |  |  .671 |  | -5.649 |     
     |   1   |                       |    1   |  |   1   |  |    1   |     
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                 
     GraphicsList{cache => CacheTable{}                                                                                          
                  Contents => {Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}             
                                       fill => white                                           fill => white                     
                                       Is3d => true                                            Is3d => true                      
                                       Points => {| -8.13 |, | 2.7263 |, |  7.456 |}           Points => {|  7.456 |, | 2.7263 |,
                                                  | 5.783 |  | -2.992 |  |  5.201 |                       |  5.201 |  | -2.992 | 
                                                  |  .671 |  |  9.144 |  | -4.166 |                       | -4.166 |  |  9.144 | 
                                                  |   1   |  |    1   |  |    1   |                       |    1   |  |    1   | 
                  Is3d => true                                                                                                   
                  TransformMatrix => | 1 0 0 -2.052 |                                                                            
                                     | 0 1 0 -7.993 |                                                                            
                                     | 0 0 1 -5.649 |                                                                            
                                     | 0 0 0 1      |                                                                            
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                             
                                                                                                                             
                }, Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}                     
                           fill => white                                           fill => white                             
                           Is3d => true                                            Is3d => true                              
     | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13 |}           Points => {| 2.7263 |, | -8.13 |, | -2.052
     | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783 |                       | -2.992 |  | 5.783 |  | -7.993
     | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |                       |  9.144 |  |  .671 |  | -5.649
     |    1   |                       |    1   |  |    1   |  |   1   |                       |    1   |  |   1   |  |    1  
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
     ----------------------------------------------------------------------------------------------------------------------------
           }, GraphicsList{cache => CacheTable{}                                                                           
         }}                Contents => {GraphicsList{cache => CacheTable{}                                                 
       }}                                            Contents => {GraphicsList{cache => CacheTable{}                       
                                                                               Contents => {Polygon{cache => CacheTable{}  
                                                                                                    fill => white          
     |}                                                                                             Is3d => true           
     |                                                                                              Points => {| -8.13 |, |
     |                                                                                                         | 5.783 |  |
     |                                                                                                         |  .671 |  |
                                                                                                               |   1   |  |
                                                                               Is3d => true                                
                                                                               TransformMatrix => | 1 0 0 7.456  |         
                                                                                                  | 0 1 0 5.201  |         
                                                                                                  | 0 0 1 -4.166 |         
                                                                                                  | 0 0 0 1      |         
                                                     Is3d => true                                                          
                                                     TransformMatrix => | 1 0 0 14.912 |                                   
                                                                        | 0 1 0 10.402 |                                   
                                                                        | 0 0 1 -8.332 |                                   
                                                                        | 0 0 0 1      |                                   
                           Is3d => true                                                                                    
                                                                                                                           
                                                                                                                           
                                                                                                                           
                                                                                                                           
                                                                                                                           
                                                                                                                           
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                
                                                                                                                                
                                                                                                                                
                          }, Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}             
                                     fill => white                                            fill => white                     
                                     Is3d => true                                             Is3d => true                      
     2.7263 |, |  7.456 |}           Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |,
     -2.992 |  |  5.201 |                       |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 | 
      9.144 |  | -4.166 |                       | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 | 
        1   |  |    1   |                       |    1   |  |    1   |  |    1   |                       |    1   |  |    1   | 
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
     ----------------------------------------------------------------------------------------------------------------------------
                                                                           
                                                                           
                                                                         },
               }, Polygon{cache => CacheTable{}                        }}  
                          fill => white                                    
                          Is3d => true                                     
     | -8.13 |}           Points => {| 2.7263 |, | -8.13 |, | -2.052 |}    
     | 5.783 |                       | -2.992 |  | 5.783 |  | -7.993 |     
     |  .671 |                       |  9.144 |  |  .671 |  | -5.649 |     
     |   1   |                       |    1   |  |   1   |  |    1   |     
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                 
                                                                                                                                 
     GraphicsList{cache => CacheTable{}                                                                                          
                  Contents => {Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}             
                                       fill => white                                           fill => white                     
                                       Is3d => true                                            Is3d => true                      
                                       Points => {| -8.13 |, | 2.7263 |, |  7.456 |}           Points => {|  7.456 |, | 2.7263 |,
                                                  | 5.783 |  | -2.992 |  |  5.201 |                       |  5.201 |  | -2.992 | 
                                                  |  .671 |  |  9.144 |  | -4.166 |                       | -4.166 |  |  9.144 | 
                                                  |   1   |  |    1   |  |    1   |                       |    1   |  |    1   | 
                  Is3d => true                                                                                                   
                  TransformMatrix => | 1 0 0 2.7263 |                                                                            
                                     | 0 1 0 -2.992 |                                                                            
                                     | 0 0 1 9.144  |                                                                            
                                     | 0 0 0 1      |                                                                            
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                             
                                                                                                                             
                                                                                                                             
                }, Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}                     
                           fill => white                                           fill => white                             
                           Is3d => true                                            Is3d => true                              
     | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13 |}           Points => {| 2.7263 |, | -8.13 |, | -2.052
     | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783 |                       | -2.992 |  | 5.783 |  | -7.993
     | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |                       |  9.144 |  |  .671 |  | -5.649
     |    1   |                       |    1   |  |    1   |  |   1   |                       |    1   |  |   1   |  |    1  
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                              
                                                                                                                              
         }, GraphicsList{cache => CacheTable{}                                                                                
       }}                Contents => {Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}   
                                              fill => white                                           fill => white           
                                              Is3d => true                                            Is3d => true            
     |}                                       Points => {| -8.13 |, | 2.7263 |, |  7.456 |}           Points => {|  7.456 |, |
     |                                                   | 5.783 |  | -2.992 |  |  5.201 |                       |  5.201 |  |
     |                                                   |  .671 |  |  9.144 |  | -4.166 |                       | -4.166 |  |
     |                                                   |   1   |  |    1   |  |    1   |                       |    1   |  |
                         Is3d => true                                                                                         
                         TransformMatrix => | 1 0 0 -8.13 |                                                                   
                                            | 0 1 0 5.783 |                                                                   
                                            | 0 0 1 .671  |                                                                   
                                            | 0 0 0 1     |                                                                   
                                                                                                                              
                                                                                                                              
                                                                                                                              
                                                                                                                              
                                                                                                                              
                                                                                                                              
                                                                                                                              
                                                                                                                              
                                                                                                                              
                                                                                                                              
                                                                                                                              
                                                                                                                              
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                
                                                                                                                                
                                                                                                                                
                          }, Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}              
                                     fill => white                                           fill => white                      
                                     Is3d => true                                            Is3d => true                       
     2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13 |}           Points => {| 2.7263 |, | -8.13 |, |
     -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783 |                       | -2.992 |  | 5.783 |  |
      9.144 |  | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |                       |  9.144 |  |  .671 |  |
        1   |  |    1   |                       |    1   |  |    1   |  |   1   |                       |    1   |  |   1   |  |
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                    
                                                                                                    
                }, GraphicsList{cache => CacheTable{}                                               
              }}                Contents => {Polygon{cache => CacheTable{}                        },
                                                     fill => white                                  
                                                     Is3d => true                                   
     -2.052 |}                                       Points => {| -8.13 |, | 2.7263 |, |  7.456 |}  
     -7.993 |                                                   | 5.783 |  | -2.992 |  |  5.201 |   
     -5.649 |                                                   |  .671 |  |  9.144 |  | -4.166 |   
        1   |                                                   |   1   |  |    1   |  |    1   |   
                                Is3d => true                                                        
                                TransformMatrix => | 1 0 0 -2.052 |                                 
                                                   | 0 1 0 -7.993 |                                 
                                                   | 0 0 1 -5.649 |                                 
                                                   | 0 0 0 1      |                                 
                                                                                                    
                                                                                                    
                                                                                                    
                                                                                                    
                                                                                                    
                                                                                                    
                                                                                                    
                                                                                                    
                                                                                                    
                                                                                                    
                                                                                                    
                                                                                                    
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                     
                                                                                                                     
                                                                                                                     
     Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}                        },
             fill => white                                            fill => white                                  
             Is3d => true                                             Is3d => true                                   
             Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13 |}  
                        |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783 |   
                        | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |   
                        |    1   |  |    1   |  |    1   |                       |    1   |  |    1   |  |   1   |   
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
     ----------------------------------------------------------------------------------------------------------------------------
                                                                
                                                              },
                                                            }}  
     Polygon{cache => CacheTable{}                        }}    
             fill => white                                      
             Is3d => true                                       
             Points => {| 2.7263 |, | -8.13 |, | -2.052 |}      
                        | -2.992 |  | 5.783 |  | -7.993 |       
                        |  9.144 |  |  .671 |  | -5.649 |       
                        |    1   |  |   1   |  |    1   |       
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
                                                                
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                
     GraphicsList{cache => CacheTable{}                                                                         
                  Contents => {GraphicsList{cache => CacheTable{}                                               
                                            Contents => {Polygon{cache => CacheTable{}                        },
                                                                 fill => white                                  
                                                                 Is3d => true                                   
                                                                 Points => {| -8.13 |, | 2.7263 |, |  7.456 |}  
                                                                            | 5.783 |  | -2.992 |  |  5.201 |   
                                                                            |  .671 |  |  9.144 |  | -4.166 |   
                                                                            |   1   |  |    1   |  |    1   |   
                                            Is3d => true                                                        
                                            TransformMatrix => | 1 0 0 7.456  |                                 
                                                               | 0 1 0 5.201  |                                 
                                                               | 0 0 1 -4.166 |                                 
                                                               | 0 0 0 1      |                                 
                  Is3d => true                                                                                  
                  TransformMatrix => | 1 0 0 5.4526 |                                                           
                                     | 0 1 0 -5.984 |                                                           
                                     | 0 0 1 18.288 |                                                           
                                     | 0 0 0 1      |                                                           
                                                                                                                
                                                                                                                
                                                                                                                
                                                                                                                
                                                                                                                
                                                                                                                
                                                                                                                
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                     
                                                                                                                     
                                                                                                                     
     Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}                        },
             fill => white                                            fill => white                                  
             Is3d => true                                             Is3d => true                                   
             Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13 |}  
                        |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783 |   
                        | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |   
                        |    1   |  |    1   |  |    1   |                       |    1   |  |    1   |  |   1   |   
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                               
                                                                                                                               
                                                            }, GraphicsList{cache => CacheTable{}                              
     Polygon{cache => CacheTable{}                        }}                Contents => {Polygon{cache => CacheTable{}         
             fill => white                                                                       fill => white                 
             Is3d => true                                                                        Is3d => true                  
             Points => {| 2.7263 |, | -8.13 |, | -2.052 |}                                       Points => {| -8.13 |, | 2.7263
                        | -2.992 |  | 5.783 |  | -7.993 |                                                   | 5.783 |  | -2.992
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     |                                                                               | 5.783 |  | -2.992 |  |  5.201 |   
     |                                                                               |  .671 |  |  9.144 |  | -4.166 |   
     |                                                                               |   1   |  |    1   |  |    1   |   
                                                     Is3d => true                                                        
                                                     TransformMatrix => | 1 0 0 7.456  |                                 
                                                                        | 0 1 0 5.201  |                                 
                                                                        | 0 0 1 -4.166 |                                 
                                                                        | 0 0 0 1      |                                 
                           Is3d => true                                                                                  
                           TransformMatrix => | 1 0 0 -16.26 |                                                           
                                              | 0 1 0 11.566 |                                                           
                                              | 0 0 1 1.342  |                                                           
                                              | 0 0 0 1      |                                                           
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
     Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}                        },
             fill => white                                            fill => white                                  
             Is3d => true                                             Is3d => true                                   
             Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13 |}  
                        |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783 |   
                        | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |   
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     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                            }, GraphicsList{cache => CacheTable{}                              
     Polygon{cache => CacheTable{}                        }}                Contents => {Polygon{cache => CacheTable{}         
             fill => white                                                                       fill => white                 
             Is3d => true                                                                        Is3d => true                  
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                        |  9.144 |  |  .671 |  | -5.649 |                                                   |  .671 |  |  9.144
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                                                                            TransformMatrix => | 1 0 0 2.7263 |                
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                   }, Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}                     
                              fill => white                                            fill => white                             
                              Is3d => true                                             Is3d => true                              
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     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                 }, GraphicsList{cache => CacheTable{}                       
       }, Polygon{cache => CacheTable{}                        }}                Contents => {Polygon{cache => CacheTable{}  
                  fill => white                                                                       fill => white          
                  Is3d => true                                                                        Is3d => true           
     |}           Points => {| 2.7263 |, | -8.13 |, | -2.052 |}                                       Points => {| -8.13 |, |
     |                       | -2.992 |  | 5.783 |  | -7.993 |                                                   | 5.783 |  |
     |                       |  9.144 |  |  .671 |  | -5.649 |                                                   |  .671 |  |
     |                       |    1   |  |   1   |  |    1   |                                                   |   1   |  |
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                                                                                 TransformMatrix => | 1 0 0 -8.13 |          
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                                                                                                    | 0 0 1 .671  |          
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     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                          }, Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}             
                                     fill => white                                            fill => white                     
                                     Is3d => true                                             Is3d => true                      
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     -2.992 |  |  5.201 |                       |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 | 
      9.144 |  | -4.166 |                       | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 | 
        1   |  |    1   |                       |    1   |  |    1   |  |    1   |                       |    1   |  |    1   | 
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
     ----------------------------------------------------------------------------------------------------------------------------
                                                                           
                                                                           
                                                                           
                                                                         },
               }, Polygon{cache => CacheTable{}                        }}  
                          fill => white                                    
                          Is3d => true                                     
     | -8.13 |}           Points => {| 2.7263 |, | -8.13 |, | -2.052 |}    
     | 5.783 |                       | -2.992 |  | 5.783 |  | -7.993 |     
     |  .671 |                       |  9.144 |  |  .671 |  | -5.649 |     
     |   1   |                       |    1   |  |   1   |  |    1   |     
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
     GraphicsList{cache => CacheTable{}                                                                                          
                  Contents => {Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}             
                                       fill => white                                           fill => white                     
                                       Is3d => true                                            Is3d => true                      
                                       Points => {| -8.13 |, | 2.7263 |, |  7.456 |}           Points => {|  7.456 |, | 2.7263 |,
                                                  | 5.783 |  | -2.992 |  |  5.201 |                       |  5.201 |  | -2.992 | 
                                                  |  .671 |  |  9.144 |  | -4.166 |                       | -4.166 |  |  9.144 | 
                                                  |   1   |  |    1   |  |    1   |                       |    1   |  |    1   | 
                  Is3d => true                                                                                                   
                  TransformMatrix => | 1 0 0 -2.052 |                                                                            
                                     | 0 1 0 -7.993 |                                                                            
                                     | 0 0 1 -5.649 |                                                                            
                                     | 0 0 0 1      |                                                                            
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                }, Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}                     
                           fill => white                                           fill => white                             
                           Is3d => true                                            Is3d => true                              
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     | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |                       |  9.144 |  |  .671 |  | -5.649
     |    1   |                       |    1   |  |    1   |  |   1   |                       |    1   |  |   1   |  |    1  
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                         
                                                                                                                         
           }, GraphicsList{cache => CacheTable{}                                                                         
         }}                Contents => {GraphicsList{cache => CacheTable{}                                               
       }}                                            Contents => {Polygon{cache => CacheTable{}                        },
                                                                          fill => white                                  
                                                                          Is3d => true                                   
     |}                                                                   Points => {| -8.13 |, | 2.7263 |, |  7.456 |}  
     |                                                                               | 5.783 |  | -2.992 |  |  5.201 |   
     |                                                                               |  .671 |  |  9.144 |  | -4.166 |   
     |                                                                               |   1   |  |    1   |  |    1   |   
                                                     Is3d => true                                                        
                                                     TransformMatrix => | 1 0 0 7.456  |                                 
                                                                        | 0 1 0 5.201  |                                 
                                                                        | 0 0 1 -4.166 |                                 
                                                                        | 0 0 0 1      |                                 
                           Is3d => true
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                                              | 0 0 0 1       |
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
     Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}                        },
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             Is3d => true                                             Is3d => true                                   
             Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13 |}  
                        |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783 |   
                        | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |   
                        |    1   |  |    1   |  |    1   |                       |    1   |  |    1   |  |   1   |   
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
                                                                                                                     
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                               
                                                                                                                               
                                                                                                                               
                                                            }, GraphicsList{cache => CacheTable{}                              
     Polygon{cache => CacheTable{}                        }}                Contents => {Polygon{cache => CacheTable{}         
             fill => white                                                                       fill => white                 
             Is3d => true                                                                        Is3d => true                  
             Points => {| 2.7263 |, | -8.13 |, | -2.052 |}                                       Points => {| -8.13 |, | 2.7263
                        | -2.992 |  | 5.783 |  | -7.993 |                                                   | 5.783 |  | -2.992
                        |  9.144 |  |  .671 |  | -5.649 |                                                   |  .671 |  |  9.144
                        |    1   |  |   1   |  |    1   |                                                   |   1   |  |    1  
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                                                                            TransformMatrix => | 1 0 0 2.7263 |                
                                                                                               | 0 1 0 -2.992 |                
                                                                                               | 0 0 1 9.144  |                
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     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                   }, Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}                     
                              fill => white                                            fill => white                             
                              Is3d => true                                             Is3d => true                              
     |, |  7.456 |}           Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13
     |  |  5.201 |                       |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783
     |  | -4.166 |                       | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 |  |  .671
     |  |    1   |                       |    1   |  |    1   |  |    1   |                       |    1   |  |    1   |  |   1  
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                 }, GraphicsList{cache => CacheTable{}                       
       }, Polygon{cache => CacheTable{}                        }}                Contents => {Polygon{cache => CacheTable{}  
                  fill => white                                                                       fill => white          
                  Is3d => true                                                                        Is3d => true           
     |}           Points => {| 2.7263 |, | -8.13 |, | -2.052 |}                                       Points => {| -8.13 |, |
     |                       | -2.992 |  | 5.783 |  | -7.993 |                                                   | 5.783 |  |
     |                       |  9.144 |  |  .671 |  | -5.649 |                                                   |  .671 |  |
     |                       |    1   |  |   1   |  |    1   |                                                   |   1   |  |
                                                                                 Is3d => true                                
                                                                                 TransformMatrix => | 1 0 0 -8.13 |          
                                                                                                    | 0 1 0 5.783 |          
                                                                                                    | 0 0 1 .671  |          
                                                                                                    | 0 0 0 1     |          
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                          }, Polygon{cache => CacheTable{}                         }, Polygon{cache => CacheTable{}             
                                     fill => white                                            fill => white                     
                                     Is3d => true                                             Is3d => true                      
     2.7263 |, |  7.456 |}           Points => {|  7.456 |, | 2.7263 |, | -2.052 |}           Points => {|  7.456 |, | -2.052 |,
     -2.992 |  |  5.201 |                       |  5.201 |  | -2.992 |  | -7.993 |                       |  5.201 |  | -7.993 | 
      9.144 |  | -4.166 |                       | -4.166 |  |  9.144 |  | -5.649 |                       | -4.166 |  | -5.649 | 
        1   |  |    1   |                       |    1   |  |    1   |  |    1   |                       |    1   |  |    1   | 
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
                                                                                                                                
     ----------------------------------------------------------------------------------------------------------------------------
                                                                           
                                                                           
                                                                           
                                                                         },
               }, Polygon{cache => CacheTable{}                        }}  
                          fill => white                                    
                          Is3d => true                                     
     | -8.13 |}           Points => {| 2.7263 |, | -8.13 |, | -2.052 |}    
     | 5.783 |                       | -2.992 |  | 5.783 |  | -7.993 |     
     |  .671 |                       |  9.144 |  |  .671 |  | -5.649 |     
     |   1   |                       |    1   |  |   1   |  |    1   |     
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                                 
                                                                                                                                 
                                                                                                                                 
     GraphicsList{cache => CacheTable{}                                                                                          
                  Contents => {Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}             
                                       fill => white                                           fill => white                     
                                       Is3d => true                                            Is3d => true                      
                                       Points => {| -8.13 |, | 2.7263 |, |  7.456 |}           Points => {|  7.456 |, | 2.7263 |,
                                                  | 5.783 |  | -2.992 |  |  5.201 |                       |  5.201 |  | -2.992 | 
                                                  |  .671 |  |  9.144 |  | -4.166 |                       | -4.166 |  |  9.144 | 
                                                  |   1   |  |    1   |  |    1   |                       |    1   |  |    1   | 
                  Is3d => true
                  TransformMatrix => | 1 0 0 -2.052 |
                                     | 0 1 0 -7.993 |
                                     | 0 0 1 -5.649 |
                                     | 0 0 0 1      |
     ----------------------------------------------------------------------------------------------------------------------------
                                                                                                                             
                                                                                                                             
                                                                                                                             
                                                                                                                             
                }, Polygon{cache => CacheTable{}                        }, Polygon{cache => CacheTable{}                     
                           fill => white                                           fill => white
                           Is3d => true                                            Is3d => true
     | -2.052 |}           Points => {|  7.456 |, | -2.052 |, | -8.13 |}           Points => {| 2.7263 |, | -8.13 |, | -2.052
     | -7.993 |                       |  5.201 |  | -7.993 |  | 5.783 |                       | -2.992 |  | 5.783 |  | -7.993
     | -5.649 |                       | -4.166 |  | -5.649 |  |  .671 |                       |  9.144 |  |  .671 |  | -5.649
     |    1   |                       |    1   |  |    1   |  |   1   |                       |    1   |  |   1   |  |    1  
     ----------------------------------------------------------------------------------------------------------------------------
               }}
             }}
           }}
         }}
       }}


     |}
     |
     |
     |

o5 : List

For the programmer

The object translation is a function closure.