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)
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Dikings - 2 (4 tiles)
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| 1 | 2 |
Trikings - 5 (15 tiles)
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| 1 | 2 | 3 | 4 | 5 |
Tetrakings - 22 (88 tiles)
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| 1 | 2 | 3 | 4 | 5 |
| I | L | T | N | O |
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| 6 | 7 | 8 | 9 | 10 |
| J | S | C | V | K |
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| 11 | 12 | 13 | 14 | 15 |
| Y | Z | P | R | Q |
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| 16 | 17 | 18 | 19 | 20 |
| F | G | O | T | N |
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| 21 | 22 | |||
| L | I |
For higher orders of polykings, the number of pieces is as follows:
Pentakings - 94
Hexakings - 524
Heptakings - 3031