Difference between revisions of "Cooper's Hex"
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| − | A variant of [[Hex]] or of [[Y]], where move order is changed from the ordinary alteration of Black and White (BWBWBWBW...) to a system where each player sometimes gets two moves (BWWBWBBWWBBWBWWBW...). The sequence is given by the odd-even parity of the sum of the binary digits of the natural numbers: | + | A variant of [[Hex]] or of [[Y]], where move order is changed from the ordinary alteration of Black and White (BWBWBWBW...) to a system where each player sometimes gets two moves (BWWBWBBWWBBWBWWBW...), following the [https://en.wikipedia.org/wiki/Thue%E2%80%93Morse_sequence Thue-Morse sequence]. The sequence is given by the odd-even parity of the sum of the binary digits of the natural numbers: |
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Revision as of 16:16, 7 May 2023
A variant of Hex or of Y, where move order is changed from the ordinary alteration of Black and White (BWBWBWBW...) to a system where each player sometimes gets two moves (BWWBWBBWWBBWBWWBW...), following the Thue-Morse sequence. The sequence is given by the odd-even parity of the sum of the binary digits of the natural numbers:
| Natural number | Sum of Digits | Parity | Player |
|---|---|---|---|
| 0 | 0 | E | B |
| 1 | 1 | O | W |
| 10 | 1 | O | W |
| 11 | 2 | E | B |
| 100 | 1 | O | W |
| 101 | 2 | E | B |
| 110 | 2 | E | B |
| 111 | 3 | O | W |
| 1000 | 1 | O | W |
Early reports indicate that in strategy, the game is somewhat similar to Halsør's Hex, where each player has two moves after Black's first move.
