Polykings or Polyplets

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Polykings are unit squares joined edge-to-edge or corner-to corner. Pieces are permitted to cross each other at the cornerwise joints, unlike the rounded polyominoes.

 

  Monoking - 1 (1 tile)

       

  Dikings - 2 (4 tiles)

     
1 2      

  Trikings - 5 (15 tiles)

1 2 3 4 5

  Tetrakings - 22 (88 tiles)

1 2 3 4 5
I L T N O
6 7 8 9 10
J S C V K
11 12 13 14 15
Y Z P R Q
16 17 18 19 20
F G O T N
     
21 22      
L I      

 

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

  Pentakings - 94

  Hexakings  - 524

  Heptakings - 3031

 

 

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