Polypons

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Polypons are formed from 30, 30, 120 triangles. They form a subset of the polydrafters of twice the order. The pieces are confined to a triakis grid. If the pieces are allowed to break this first grid, then we can create the extended polypons, which lie within the grid of polydrafters as shown below.

          

 

 Monopon - 1 (1 tile)

       

 Dipons - 2 (4 tiles) + Extended dipons -1 (2 tiles)

   
1 2 3*    

 Tripons - 2 (6 tiles) + Extended tripons -3 (9 tiles)

1 2 3* 4* 5*

 Tetrapons - 4 (16 tiles) + Extended tetrapons -14 (56 tiles)

1 2 3 4 5*
6* 7* 8* 9* 10*
11* 12* 13* 14* 15*
   
16* 17* 18*    

 Pentapons - 4 (20 tiles) + Extended pentapons - 44 (220 tiles, not pictured)

 
1 2 3 4  

 Hexapons - 10 (60 tiles) + Extended hexapons - 184 (1104 tiles, not pictured)

1 2 3 4 5
6 7 8 9 10

 Heptapons - 13 (91 tiles) + Extended heptapons - 674 (4718 tiles, not pictured)

1 2 3 4 5
6 7 8 9 10
   
11 12 13    

 

  For higher orders of polypons, the number of pieces is as follows:

  Octapons - 29

  Ennepons - 47

  Decapons - 100

 

Puzzles using Polypons

 

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