Kropki

Kropki is complete once every cell, edge, region, and fixed clue satisfies the dot ratio consecutive latin completion test. The terminal check examines every relevant pile, cell, edge, room, and clue before awarding the result.

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How to play

Kropki is complete once every cell, edge, region, and fixed clue satisfies the dot ratio consecutive latin completion test. The terminal check examines every relevant pile, cell, edge, room, and clue before awarding the result.

  • Kropki starts with its fixed information already marked and its editable spaces left for the player. Complete a Latin grid where white dots mark consecutive neighbours and black dots mark a two-to-one ratio, with absent-dot rules applied by the selected profile. Restart reconstructs the same opening from the stored game ID, rules version, and seed.
  • A move in Kropki is accepted only while it preserves every already-visible requirement. Complete a Latin grid where white dots mark consecutive neighbours and black dots mark a two-to-one ratio, with absent-dot rules applied by the selected profile. Failed validation leaves the move count, history, and board exactly as they were.
  • Kropki is complete once every cell, edge, region, and fixed clue satisfies the dot ratio consecutive latin completion test. The terminal check examines every relevant pile, cell, edge, room, and clue before awarding the result.

Strategy tips

  • Propagate white consecutive and black ratio dots alongside Latin row and column exclusions, using the absence of a dot whenever the selected rule profile requires it.
  • Checking dots without enforcing Latin uniqueness permits repeated values, while assuming every undotted pair is unrestricted can admit a forbidden relation.
  • At the end of Kropki, recount the remaining destinations, marks, or connections before committing the narrowest move. The finish is accepted only when every cell, edge, region, and fixed clue satisfies the dot ratio consecutive latin completion test.

Complete guide

Rules, scoring, and strategy

Kropki uses the independently implemented Kropki dot ratio consecutive latin rules v1 profile (R661). In Kropki, the position revolves around this rule: Complete a Latin grid where white dots mark consecutive neighbours and black dots mark a two-to-one ratio, with absent-dot rules applied by the selected profile.

Setup and opening position

Kropki starts with its fixed information already marked and its editable spaces left for the player. Complete a Latin grid where white dots mark consecutive neighbours and black dots mark a two-to-one ratio, with absent-dot rules applied by the selected profile. Restart reconstructs the same opening from the stored game ID, rules version, and seed.

Legal moves and game flow

A move in Kropki is accepted only while it preserves every already-visible requirement. Complete a Latin grid where white dots mark consecutive neighbours and black dots mark a two-to-one ratio, with absent-dot rules applied by the selected profile. Failed validation leaves the move count, history, and board exactly as they were.

Winning and terminal positions

Kropki is complete once every cell, edge, region, and fixed clue satisfies the dot ratio consecutive latin completion test. The terminal check examines every relevant pile, cell, edge, room, and clue before awarding the result. At the end of Kropki, recount the remaining destinations, marks, or connections before committing the narrowest move. The finish is accepted only when every cell, edge, region, and fixed clue satisfies the dot ratio consecutive latin completion test.

Practical strategy

Propagate white consecutive and black ratio dots alongside Latin row and column exclusions, using the absence of a dot whenever the selected rule profile requires it. Checking dots without enforcing Latin uniqueness permits repeated values, while assuming every undotted pair is unrestricted can admit a forbidden relation.

Questions players ask

When should players account for white, black, and absent dot relations in Kropki?

Propagate white consecutive and black ratio dots alongside Latin row and column exclusions, using the absence of a dot whenever the selected rule profile requires it. This matters specifically because complete a Latin grid where white dots mark consecutive neighbours and black dots mark a two-to-one ratio, with absent-dot rules applied by the selected profile.

What false assumption most often blocks Kropki?

Checking dots without enforcing Latin uniqueness permits repeated values, while assuming every undotted pair is unrestricted can admit a forbidden relation. Recheck the legal boundary before choosing a replacement move.

How does Kropki confirm the final position?

The winning condition for Kropki is precise: every cell, edge, region, and fixed clue satisfies the dot ratio consecutive latin completion test. No hidden solution values are printed to justify the result; the rules engine validates the submitted position. Undo and redo expose alternative branches without revealing an authored answer.