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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={(74.5571, 52.0137, -41.6631),(27.2634, -29.9211, 91.4409),(-81.3041, 57.8325, 6.71156),(-20.5165, -79.9251, -56.4894)};
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 v#i}))

o4 = g

o4 : FunctionClosure
i5 : apply(4,g)

o5 = {tetra, GraphicsList{cache => CacheTable{}                          
                          Contents => {GraphicsList{cache => CacheTable{}
                                                    Contents => {Polygon{
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
                                                    Is3d => true         
                                                    TransformMatrix => | 
                                                                       | 
                                                                       | 
                                                                       | 
                          Is3d => true                                   
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
                                                                         
     ------------------------------------------------------------------------
                                                           
                                                           
     cache => CacheTable{}                               },
     fill => white                                         
     Is3d => true                                          
     Points => {| -81.3041 |, |  27.2634 |, |  74.5571 |}  
                |  57.8325 |  | -29.9211 |  |  52.0137 |   
                |  6.71156 |  |  91.4409 |  | -41.6631 |   
                |     1    |  |     1    |  |     1    |   
                                                           
     1 0 0 74.5571  |                                      
     0 1 0 52.0137  |                                      
     0 0 1 -41.6631 |                                      
     0 0 0 1        |                                      
                                                           
                                                           
                                                           
                                                           
                                                           
                                                           
                                                           
                                                           
                                                           
                                                           
                                                           
                                                           
                                                           
     ------------------------------------------------------------------------
                                                                   
                                                                   
     Polygon{cache => CacheTable{}                               },
             fill => white                                         
             Is3d => true                                          
             Points => {|  74.5571 |, |  27.2634 |, | -20.5165 |}  
                        |  52.0137 |  | -29.9211 |  | -79.9251 |   
                        | -41.6631 |  |  91.4409 |  | -56.4894 |   
                        |     1    |  |     1    |  |     1    |   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
     ------------------------------------------------------------------------
                                                                   
                                                                   
     Polygon{cache => CacheTable{}                               },
             fill => white                                         
             Is3d => true                                          
             Points => {|  74.5571 |, | -20.5165 |, | -81.3041 |}  
                        |  52.0137 |  | -79.9251 |  |  57.8325 |   
                        | -41.6631 |  | -56.4894 |  |  6.71156 |   
                        |     1    |  |     1    |  |     1    |   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
     ------------------------------------------------------------------------
                                                                     
                                                                   },
     Polygon{cache => CacheTable{}                               }}  
             fill => white                                           
             Is3d => true                                            
             Points => {|  27.2634 |, | -81.3041 |, | -20.5165 |}    
                        | -29.9211 |  |  57.8325 |  | -79.9251 |     
                        |  91.4409 |  |  6.71156 |  | -56.4894 |     
                        |     1    |  |     1    |  |     1    |     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
     ------------------------------------------------------------------------
                                                                             
     GraphicsList{cache => CacheTable{}                                      
                  Contents => {Polygon{cache => CacheTable{}                 
                                       fill => white                         
                                       Is3d => true                          
                                       Points => {| -81.3041 |, |  27.2634 |,
                                                  |  57.8325 |  | -29.9211 | 
                                                  |  6.71156 |  |  91.4409 | 
                                                  |     1    |  |     1    | 
                  Is3d => true                                               
                  TransformMatrix => | 1 0 0 27.2634  |                      
                                     | 0 1 0 -29.9211 |                      
                                     | 0 0 1 91.4409  |                      
                                     | 0 0 0 1        |                      
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
     ------------------------------------------------------------------------
                                                                     
                                                                     
                  }, Polygon{cache => CacheTable{}                   
                             fill => white                           
                             Is3d => true                            
     |  74.5571 |}           Points => {|  74.5571 |, |  27.2634 |, |
     |  52.0137 |                       |  52.0137 |  | -29.9211 |  |
     | -41.6631 |                       | -41.6631 |  |  91.4409 |  |
     |     1    |                       |     1    |  |     1    |  |
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
     ------------------------------------------------------------------------
                                                                            
                                                                            
                }, Polygon{cache => CacheTable{}                            
                           fill => white                                    
                           Is3d => true                                     
     -20.5165 |}           Points => {|  74.5571 |, | -20.5165 |, | -81.3041
     -79.9251 |                       |  52.0137 |  | -79.9251 |  |  57.8325
     -56.4894 |                       | -41.6631 |  | -56.4894 |  |  6.71156
         1    |                       |     1    |  |     1    |  |     1   
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
     ------------------------------------------------------------------------
                                                                          
                                                                        },
       }, Polygon{cache => CacheTable{}                               }}  
                  fill => white                                           
                  Is3d => true                                            
     |}           Points => {|  27.2634 |, | -81.3041 |, | -20.5165 |}    
     |                       | -29.9211 |  |  57.8325 |  | -79.9251 |     
     |                       |  91.4409 |  |  6.71156 |  | -56.4894 |     
     |                       |     1    |  |     1    |  |     1    |     
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
     ------------------------------------------------------------------------
                                                                             
     GraphicsList{cache => CacheTable{}                                      
                  Contents => {Polygon{cache => CacheTable{}                 
                                       fill => white                         
                                       Is3d => true                          
                                       Points => {| -81.3041 |, |  27.2634 |,
                                                  |  57.8325 |  | -29.9211 | 
                                                  |  6.71156 |  |  91.4409 | 
                                                  |     1    |  |     1    | 
                  Is3d => true                                               
                  TransformMatrix => | 1 0 0 -81.3041 |                      
                                     | 0 1 0 57.8325  |                      
                                     | 0 0 1 6.71156  |                      
                                     | 0 0 0 1        |                      
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
     ------------------------------------------------------------------------
                                                                     
                                                                     
                  }, Polygon{cache => CacheTable{}                   
                             fill => white                           
                             Is3d => true                            
     |  74.5571 |}           Points => {|  74.5571 |, |  27.2634 |, |
     |  52.0137 |                       |  52.0137 |  | -29.9211 |  |
     | -41.6631 |                       | -41.6631 |  |  91.4409 |  |
     |     1    |                       |     1    |  |     1    |  |
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
     ------------------------------------------------------------------------
                                                                            
                                                                            
                }, Polygon{cache => CacheTable{}                            
                           fill => white                                    
                           Is3d => true                                     
     -20.5165 |}           Points => {|  74.5571 |, | -20.5165 |, | -81.3041
     -79.9251 |                       |  52.0137 |  | -79.9251 |  |  57.8325
     -56.4894 |                       | -41.6631 |  | -56.4894 |  |  6.71156
         1    |                       |     1    |  |     1    |  |     1   
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
     ------------------------------------------------------------------------
                                                                          
                                                                        },
       }, Polygon{cache => CacheTable{}                               }}  
                  fill => white                                           
                  Is3d => true                                            
     |}           Points => {|  27.2634 |, | -81.3041 |, | -20.5165 |}    
     |                       | -29.9211 |  |  57.8325 |  | -79.9251 |     
     |                       |  91.4409 |  |  6.71156 |  | -56.4894 |     
     |                       |     1    |  |     1    |  |     1    |     
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
     ------------------------------------------------------------------------
                                                                             
     GraphicsList{cache => CacheTable{}                                      
                  Contents => {Polygon{cache => CacheTable{}                 
                                       fill => white                         
                                       Is3d => true                          
                                       Points => {| -81.3041 |, |  27.2634 |,
                                                  |  57.8325 |  | -29.9211 | 
                                                  |  6.71156 |  |  91.4409 | 
                                                  |     1    |  |     1    | 
                  Is3d => true                                               
                  TransformMatrix => | 1 0 0 -20.5165 |                      
                                     | 0 1 0 -79.9251 |                      
                                     | 0 0 1 -56.4894 |                      
                                     | 0 0 0 1        |                      
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
     ------------------------------------------------------------------------
                                                                     
                                                                     
                  }, Polygon{cache => CacheTable{}                   
                             fill => white                           
                             Is3d => true                            
     |  74.5571 |}           Points => {|  74.5571 |, |  27.2634 |, |
     |  52.0137 |                       |  52.0137 |  | -29.9211 |  |
     | -41.6631 |                       | -41.6631 |  |  91.4409 |  |
     |     1    |                       |     1    |  |     1    |  |
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
     ------------------------------------------------------------------------
                                                                            
                                                                            
                }, Polygon{cache => CacheTable{}                            
                           fill => white                                    
                           Is3d => true                                     
     -20.5165 |}           Points => {|  74.5571 |, | -20.5165 |, | -81.3041
     -79.9251 |                       |  52.0137 |  | -79.9251 |  |  57.8325
     -56.4894 |                       | -41.6631 |  | -56.4894 |  |  6.71156
         1    |                       |     1    |  |     1    |  |     1   
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
     ------------------------------------------------------------------------
                                                                          },
                                                                        }}  
       }, Polygon{cache => CacheTable{}                               }}    
                  fill => white                                             
                  Is3d => true                                              
     |}           Points => {|  27.2634 |, | -81.3041 |, | -20.5165 |}      
     |                       | -29.9211 |  |  57.8325 |  | -79.9251 |       
     |                       |  91.4409 |  |  6.71156 |  | -56.4894 |       
     |                       |     1    |  |     1    |  |     1    |       
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
     ------------------------------------------------------------------------
     GraphicsList{cache => CacheTable{}                               
                  Contents => {GraphicsList{cache => CacheTable{}     
                                            Contents => {GraphicsList{
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
                                            Is3d => true              
                                            TransformMatrix => | 1 0 0
                                                               | 0 1 0
                                                               | 0 0 1
                                                               | 0 0 0
                  Is3d => true                                        
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
                                                                      
     ------------------------------------------------------------------------
                                                                           
                                                                           
     cache => CacheTable{}                                                 
     Contents => {Polygon{cache => CacheTable{}                            
                          fill => white                                    
                          Is3d => true                                     
                          Points => {| -81.3041 |, |  27.2634 |, |  74.5571
                                     |  57.8325 |  | -29.9211 |  |  52.0137
                                     |  6.71156 |  |  91.4409 |  | -41.6631
                                     |     1    |  |     1    |  |     1   
     Is3d => true                                                          
     TransformMatrix => | 1 0 0 74.5571  |                                 
                        | 0 1 0 52.0137  |                                 
                        | 0 0 1 -41.6631 |                                 
                        | 0 0 0 1        |                                 
                                                                           
      74.5571  |                                                           
      52.0137  |                                                           
      -41.6631 |                                                           
      1        |                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
                                                                           
     ------------------------------------------------------------------------
                                                                        
                                                                        
                                                                        
       }, Polygon{cache => CacheTable{}                               },
                  fill => white                                         
                  Is3d => true                                          
     |}           Points => {|  74.5571 |, |  27.2634 |, | -20.5165 |}  
     |                       |  52.0137 |  | -29.9211 |  | -79.9251 |   
     |                       | -41.6631 |  |  91.4409 |  | -56.4894 |   
     |                       |     1    |  |     1    |  |     1    |   
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
                                                                        
     ------------------------------------------------------------------------
                                                                   
                                                                   
                                                                   
     Polygon{cache => CacheTable{}                               },
             fill => white                                         
             Is3d => true                                          
             Points => {|  74.5571 |, | -20.5165 |, | -81.3041 |}  
                        |  52.0137 |  | -79.9251 |  |  57.8325 |   
                        | -41.6631 |  | -56.4894 |  |  6.71156 |   
                        |     1    |  |     1    |  |     1    |   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
                                                                   
     ------------------------------------------------------------------------
                                                                     
                                                                     
                                                                   },
     Polygon{cache => CacheTable{}                               }}  
             fill => white                                           
             Is3d => true                                            
             Points => {|  27.2634 |, | -81.3041 |, | -20.5165 |}    
                        | -29.9211 |  |  57.8325 |  | -79.9251 |     
                        |  91.4409 |  |  6.71156 |  | -56.4894 |     
                        |     1    |  |     1    |  |     1    |     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
     ------------------------------------------------------------------------
                                                                             
                                                                             
     GraphicsList{cache => CacheTable{}                                      
                  Contents => {Polygon{cache => CacheTable{}                 
                                       fill => white                         
                                       Is3d => true                          
                                       Points => {| -81.3041 |, |  27.2634 |,
                                                  |  57.8325 |  | -29.9211 | 
                                                  |  6.71156 |  |  91.4409 | 
                                                  |     1    |  |     1    | 
                  Is3d => true                                               
                  TransformMatrix => | 1 0 0 27.2634  |                      
                                     | 0 1 0 -29.9211 |                      
                                     | 0 0 1 91.4409  |                      
                                     | 0 0 0 1        |                      
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
     ------------------------------------------------------------------------
                                                                     
                                                                     
                                                                     
                  }, Polygon{cache => CacheTable{}                   
                             fill => white                           
                             Is3d => true                            
     |  74.5571 |}           Points => {|  74.5571 |, |  27.2634 |, |
     |  52.0137 |                       |  52.0137 |  | -29.9211 |  |
     | -41.6631 |                       | -41.6631 |  |  91.4409 |  |
     |     1    |                       |     1    |  |     1    |  |
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
     ------------------------------------------------------------------------
                                                                            
                                                                            
                                                                            
                }, Polygon{cache => CacheTable{}                            
                           fill => white                                    
                           Is3d => true                                     
     -20.5165 |}           Points => {|  74.5571 |, | -20.5165 |, | -81.3041
     -79.9251 |                       |  52.0137 |  | -79.9251 |  |  57.8325
     -56.4894 |                       | -41.6631 |  | -56.4894 |  |  6.71156
         1    |                       |     1    |  |     1    |  |     1   
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
     ------------------------------------------------------------------------
                                                                          
                                                                          
                                                                        },
       }, Polygon{cache => CacheTable{}                               }}  
                  fill => white                                           
                  Is3d => true                                            
     |}           Points => {|  27.2634 |, | -81.3041 |, | -20.5165 |}    
     |                       | -29.9211 |  |  57.8325 |  | -79.9251 |     
     |                       |  91.4409 |  |  6.71156 |  | -56.4894 |     
     |                       |     1    |  |     1    |  |     1    |     
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
     ------------------------------------------------------------------------
                                                                             
                                                                             
     GraphicsList{cache => CacheTable{}                                      
                  Contents => {Polygon{cache => CacheTable{}                 
                                       fill => white                         
                                       Is3d => true                          
                                       Points => {| -81.3041 |, |  27.2634 |,
                                                  |  57.8325 |  | -29.9211 | 
                                                  |  6.71156 |  |  91.4409 | 
                                                  |     1    |  |     1    | 
                  Is3d => true                                               
                  TransformMatrix => | 1 0 0 -81.3041 |                      
                                     | 0 1 0 57.8325  |                      
                                     | 0 0 1 6.71156  |                      
                                     | 0 0 0 1        |                      
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
     ------------------------------------------------------------------------
                                                                     
                                                                     
                                                                     
                  }, Polygon{cache => CacheTable{}                   
                             fill => white                           
                             Is3d => true                            
     |  74.5571 |}           Points => {|  74.5571 |, |  27.2634 |, |
     |  52.0137 |                       |  52.0137 |  | -29.9211 |  |
     | -41.6631 |                       | -41.6631 |  |  91.4409 |  |
     |     1    |                       |     1    |  |     1    |  |
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
     ------------------------------------------------------------------------
                                                                            
                                                                            
                                                                            
                }, Polygon{cache => CacheTable{}                            
                           fill => white                                    
                           Is3d => true                                     
     -20.5165 |}           Points => {|  74.5571 |, | -20.5165 |, | -81.3041
     -79.9251 |                       |  52.0137 |  | -79.9251 |  |  57.8325
     -56.4894 |                       | -41.6631 |  | -56.4894 |  |  6.71156
         1    |                       |     1    |  |     1    |  |     1   
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
                                                                            
     ------------------------------------------------------------------------
                                                                          
                                                                          
                                                                        },
       }, Polygon{cache => CacheTable{}                               }}  
                  fill => white                                           
                  Is3d => true                                            
     |}           Points => {|  27.2634 |, | -81.3041 |, | -20.5165 |}    
     |                       | -29.9211 |  |  57.8325 |  | -79.9251 |     
     |                       |  91.4409 |  |  6.71156 |  | -56.4894 |     
     |                       |     1    |  |     1    |  |     1    |     
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
                                                                          
     ------------------------------------------------------------------------
                                                                             
                                                                             
     GraphicsList{cache => CacheTable{}                                      
                  Contents => {Polygon{cache => CacheTable{}                 
                                       fill => white                         
                                       Is3d => true                          
                                       Points => {| -81.3041 |, |  27.2634 |,
                                                  |  57.8325 |  | -29.9211 | 
                                                  |  6.71156 |  |  91.4409 | 
                                                  |     1    |  |     1    | 
                  Is3d => true                                               
                  TransformMatrix => | 1 0 0 -20.5165 |                      
                                     | 0 1 0 -79.9251 |                      
                                     | 0 0 1 -56.4894 |                      
                                     | 0 0 0 1        |                      
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
                                                                             
     ------------------------------------------------------------------------
                                                                     
                                                                     
                                                                     
                  }, Polygon{cache => CacheTable{}                   
                             fill => white                           
                             Is3d => true                            
     |  74.5571 |}           Points => {|  74.5571 |, |  27.2634 |, |
     |  52.0137 |                       |  52.0137 |  | -29.9211 |  |
     | -41.6631 |                       | -41.6631 |  |  91.4409 |  |
     |     1    |                       |     1    |  |     1    |  |
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
     ------------------------------------------------------------------------
                                                                            
                                                                            
                                                                            
                }, Polygon{cache => CacheTable{}                            
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     |}
     |
     |
     |

o5 : List