Diagram G script output

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(The output of the Diagram G script written to solve it and related problems.)
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Revision as of 14:29, 21 March 2006

Diagram G up to n=55.

35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 | | | | | | | | | | | | | | | | | | | | |

|"   |   |"    |"   |   |"   |   |"    |"   |   |"    |"   |   

22 23 24 25 26 27 28 29 30 31 32 33 34

|    |   |     |    |   |    |   |     |    |   |     |    |   
 "|""    |      "|""     "|""    |      "|""    |      "|""    
 14     15      16       17     18      19     20      21      
  |      |       |        |      |       |      |       |      
   ""|"""        |         ""|"""         ""|"""        |      
     9          10          11             12          13      
     |           |           |              |           |      
      """""|"""""            |               """""|"""""       
           6                 7                    8            
           |                 |                    |            
            """"""""|""""""""                     |            
                    4                             5            
                    |                             |            
                     """"""""""""""|""""""""""""""             
                                   3                           
                                   |                           
                                   |                           
                                   2                           
                                   |                           
                                   |                           
                                   1                           
                                   |                           


Diagram H up to n=59.

42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 | | | | | | | | | | | | | | | | | |

|"   |  |   |"    |"   |   |"   |  |   |"   |  |  |   

29 30 31 32 33 34 35 36 37 38 39 40 41

|    |  |   |     |    |   |    |  |   |    |  |  |   
 "|""   |   |      "|""     "|""   |    "|""   |  |   
 20     21 22      23       24     25   26     27 28  
  |     |   |       |        |     |     |     |  |   
   ""|""    |       |         ""|""       ""|""   |   
    14     15      16          17          18     19  
     |      |       |           |           |     |   
      ""|"""        |           |            ""|""    
       10          11          12             13      
        |           |           |              |      
         """""|"""""            |              |      
              7                 8              9      
              |                 |              |      
               """"""""|""""""""               |      
                       5                       6      
                       |                       |      
                        """""""""""|"""""""""""       
                                   4                  
                                   |                  
                                   |                  
                                   3                  
                                   |                  
                                   |                  
                                   2                  
                                   |                  
                                   |                  
                                   1                  
                                   |                  


Diagram I up to n=69.

51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 | | | | | | | | | | | | | | | | | | |

|"   |  |  |   |"    |"   |   |"   |  |   |"   |  |  |   

37 38 39 40 41 42 43 44 45 46 47 48 49 50

|    |  |  |   |     |    |   |    |  |   |    |  |  |   
 "|""   |  |   |      "|""     "|""   |    "|""   |  |   
 27     28 29 30      31       32     33   34     35 36  
  |     |  |   |       |        |     |     |     |  |   
   ""|""   |   |       |         ""|""       ""|""   |   
    20     21 22      23          24          25     26  
     |     |   |       |           |           |     |   
      ""|""    |       |           |            ""|""    
       15     16      17          18             19      
        |      |       |           |              |      
         ""|"""        |           |              |      
          11          12          13             14      
           |           |           |              |      
            """""|"""""            |              |      
                 8                 9             10      
                 |                 |              |      
                  """"""""|""""""""               |      
                          6                       7      
                          |                       |      
                           """""""""""|"""""""""""       
                                      5                  
                                      |                  
                                      |                  
                                      4                  
                                      |                  
                                      |                  
                                      3                  
                                      |                  
                                      |                  
                                      2                  
                                      |                  
                                      |                  
                                      1                  
                                      |                  


Diagram J up to n=80.

61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 | | | | | | | | | | | | | | | | | | | |

|"   |  |  |  |   |"    |"   |   |"   |  |   |"   |  |  |   

46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

|    |  |  |  |   |     |    |   |    |  |   |    |  |  |   
 "|""   |  |  |   |      "|""     "|""   |    "|""   |  |   
 35     36 37 38 39      40       41     42   43     44 45  
  |     |  |  |   |       |        |     |     |     |  |   
   ""|""   |  |   |       |         ""|""       ""|""   |   
    27     28 29 30      31          32          33     34  
     |     |  |   |       |           |           |     |   
      ""|""   |   |       |           |            ""|""    
       21     22 23      24          25             26      
        |     |   |       |           |              |      
         ""|""    |       |           |              |      
          16     17      18          19             20      
           |      |       |           |              |      
            ""|"""        |           |              |      
             12          13          14             15      
              |           |           |              |      
               """""|"""""            |              |      
                    9                10             11      
                    |                 |              |      
                     """"""""|""""""""               |      
                             7                       8      
                             |                       |      
                              """""""""""|"""""""""""       
                                         6                  
                                         |                  
                                         |                  
                                         5                  
                                         |                  
                                         |                  
                                         4                  
                                         |                  
                                         |                  
                                         3                  
                                         |                  
                                         |                  
                                         2                  
                                         |                  
                                         |                  
                                         1                  
                                         |                  


The tree for Q(n) up to n=64.

33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

|"    |"    |"    |"    |"    |"    |"    |"    |"    |"    |"    |"    |"    |"    |"    |"    

17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32

|     |     |     |     |     |     |     |     |     |     |     |     |     |     |     |     
 ""|""       ""|""       ""|""       ""|""       ""|""       ""|""       ""|""       ""|""      
   9          10          11          12          13          14          15          16        
   |           |           |           |           |           |           |           |        
    """""|"""""             """""|"""""             """""|"""""             """""|"""""         
         5                       6                       7                       8              
         |                       |                       |                       |              
          """""""""""|"""""""""""                         """""""""""|"""""""""""               
                     3                                               4                          
                     |                                               |                          
                      """""""""""""""""""""""|"""""""""""""""""""""""                           
                                             2                                                  
                                             |                                                  
                                             |                                                  
                                             1                                                  
                                             |                                                  


The mirror tree MG(n) up to n=55.

35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 | | | | | | | | | | | | | | | | | | | | | | |" |" | |" |" | |" | |" |" | |" 22 23 24 25 26 27 28 29 30 31 32 33 34 | | | | | | | | | | | | |

"|"      |     "|"      |     "|"      "|"      |     "|"      
14      15     16      17     18       19      20     21       
 |       |      |       |      |        |       |      |       
 |        ""|"""         ""|"""         |        ""|"""        
 9         10             11           12         13           
 |          |              |            |          |           
  """"|"""""               |             """"|"""""            
      6                    7                 8                 
      |                    |                 |                 
      |                     """"""""|""""""""                  
      4                             5                          
      |                             |                          
       """"""""""""""|""""""""""""""                           
                     3                                         
                     |                                         
                     |                                         
                     2                                         
                     |                                         
                     |                                         
                     1                                         
                     |
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