Nikoji

Finish Nikoji when every cell, edge, region, and fixed clue satisfies the paired clue congruent regions completion test. Completion is checked from the entire position, not from a displayed answer or a visual approximation.

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How to play

Finish Nikoji when every cell, edge, region, and fixed clue satisfies the paired clue congruent regions completion test. Completion is checked from the entire position, not from a displayed answer or a visual approximation.

  • Read the opening of Nikoji by locating every lane, clue, reserve, room, or fixed element named in its rule. Divide the grid into regions containing matching clue pairs; equally labelled regions must be congruent up to allowed translation, rotation, or reflection. The seeded deal and rules version reproduce that public starting information without exposing a hidden completion.
  • Check each proposed action against the current position and this boundary: Divide the grid into regions containing matching clue pairs; equally labelled regions must be congruent up to allowed translation, rotation, or reflection. Illegal, stale, and post-finish actions are rejected without changing the board.
  • Finish Nikoji when every cell, edge, region, and fixed clue satisfies the paired clue congruent regions completion test. Completion is checked from the entire position, not from a displayed answer or a visual approximation.

Strategy tips

  • Pair identical clues, sketch one candidate region shape, and test whether its mate can receive a congruent copy without stealing a third clue or cell.
  • Matching region areas alone is insufficient; the paired regions must have congruent geometry under the transformations allowed by the rule.
  • During the final few decisions, compare every unresolved obligation with the target: every cell, edge, region, and fixed clue satisfies the paired clue congruent regions completion test. Keep the option described in the strategy note available until the last forced dependency is settled.

Complete guide

Rules, scoring, and strategy

Nikoji uses the independently implemented Nikoji paired clue congruent regions rules v1 profile (R656). Nikoji is defined by one exact interaction: Divide the grid into regions containing matching clue pairs; equally labelled regions must be congruent up to allowed translation, rotation, or reflection.

Setup and opening position

Read the opening of Nikoji by locating every lane, clue, reserve, room, or fixed element named in its rule. Divide the grid into regions containing matching clue pairs; equally labelled regions must be congruent up to allowed translation, rotation, or reflection. The seeded deal and rules version reproduce that public starting information without exposing a hidden completion.

Legal moves and game flow

Check each proposed action against the current position and this boundary: Divide the grid into regions containing matching clue pairs; equally labelled regions must be congruent up to allowed translation, rotation, or reflection. Illegal, stale, and post-finish actions are rejected without changing the board.

Winning and terminal positions

Finish Nikoji when every cell, edge, region, and fixed clue satisfies the paired clue congruent regions completion test. Completion is checked from the entire position, not from a displayed answer or a visual approximation. During the final few decisions, compare every unresolved obligation with the target: every cell, edge, region, and fixed clue satisfies the paired clue congruent regions completion test. Keep the option described in the strategy note available until the last forced dependency is settled.

Practical strategy

Pair identical clues, sketch one candidate region shape, and test whether its mate can receive a congruent copy without stealing a third clue or cell. Matching region areas alone is insufficient; the paired regions must have congruent geometry under the transformations allowed by the rule.

Questions players ask

How should players account for congruent regions around matching clues in Nikoji?

Pair identical clues, sketch one candidate region shape, and test whether its mate can receive a congruent copy without stealing a third clue or cell. This matters specifically because divide the grid into regions containing matching clue pairs; equally labelled regions must be congruent up to allowed translation, rotation, or reflection.

Which error should be checked first in Nikoji?

Matching region areas alone is insufficient; the paired regions must have congruent geometry under the transformations allowed by the rule. Recheck the legal boundary before choosing a replacement move.

What proves that Nikoji is finished?

Nikoji is complete once every cell, edge, region, and fixed clue satisfies the paired clue congruent regions completion test. The terminal check examines every relevant pile, cell, edge, room, and clue before awarding the result. Undo and redo expose alternative branches without revealing an authored answer.