Polyrhombs

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Polyrhombs are formed from 60 rhombi which are confined to the rhombic grid. They form a subset of the polyiamonds of twice the order.

The pieces are closely related to the polyominoes, having a wide and narrow version of each polyomino piece which is not the same by reflection in a mirror set orthogonally (not diagonally) to the square grid. If all wide or narrow pieces are discarded, the remaining pieces are equivalent to the polyominoes.

  Monorhomb - 1 (1 tile)

       

  Dirhomb - 1 (2 tiles)

       
1        

  Trirhombs - 3 (9 tiles)

   
1 2 3    

  Tetrarhombs - 7 (28 tiles)

1 2 3 4 5
     
6 7      

  Pentarhombs - 20 (100 tiles)

1 2 3 4 5
I T X U Wide L
6 7 8 9 10
Narrow L Wide Y Narrow Y Wide N Narrow N
11 12 13 14 15
Wide V Narrow V Wide Z Narrow Z Wide F
16 17 18 19 20
Narrow F Wide W Narrow W Wide P Narrow P

 

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

  Hexarhombs - 62

  Heptarhombs - 204

  Octarhombs - 709

  Ennerhombs - 2526

  Decarhombs - 9212

 

 

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