Polytwigs

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Polytwigs can be regarded as unit lines confined to the regular hexagonal grid. Physical pieces can be constructed for the polytwigs.

The polytwigs can be emulated on a regular hexagonal grid, with some of the cells excluded. Such a grid is shown below with excluded cells in black, and the same tetratwig as above highlighted in blue. Each polyhex that fits within this grid has a polytwig equivalent.

 

  Monotwig - 1 (1 line)

       

  Ditwigs - 1 (2 lines)

       
1        

  Tritwigs - 3 (9 lines)

     
1 2 3      

   Tetratwigs - 4 (16 lines)

   
1 2 3 4    

  Pentatwigs - 12 (60 lines)

1 2 3 4 5 6
7 8 9 10 11 12

 Hexatwigs - 27 (162 lines)

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

 

 

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

  Heptatwigs - 78

  Octatwigs   - 208

  Enneatwigs  - 635

  Decatwigs  - 1859

 

Puzzles using Pentatwigs

Puzzles using Hexatwigs

Puzzles using Tetra- and Pentatwigs

 

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