Atsumari is a binary-determination puzzle that was originally developed by Quadratic Games for the iPhone

IPhone

The iPhone is a line of Internet and multimedia-enabled smartphones marketed by Apple Inc. The first iPhone was unveiled by Steve Jobs, then CEO of Apple, on January 9, 2007, and released on June 29, 2007...

 platform. The puzzle is played on a hexagonal grid. A rectangular board shape is standard but variations to the board shape can be part of the puzzle design. The puzzle starts with a subset of the hexagonal cells containing a number greater than or equal to zero. The solution to the puzzle is a unique pattern of black/white hexagonal cells that does not violate any of the puzzle rules.

Rules

• Each cell containing a non-zero number is considered white and must be part of an edge-connected cluster of exactly that many white cells (including the numbered cell). The white clusters are enclosed by black cells or the edge of the board. Thus, a cell containing a '1' must be enclosed by black cells and/or the game board, a cell containing a '2' must have one edge-connected neighboring white cell, etc. White clusters cannot contain more than one number.
• A cell containing the number '0' is considered black.
• The black cells of the board (including the 0-cells) must form a single edge-connected cluster.
• A black cell cannot be surrounded by black cells. This is equivalent to saying that the black 7-cell hexagon shape is not allowed.

Related puzzles

Atsumari is similar to the puzzle Nurikabe

Nurikabe

Nurikabe is a binary determination puzzle named for an invisible wall in Japanese folklore that blocks roads and delays foot travel...

 (based on a square grid) published by Nikoli

Nikoli

Nikoli Co., Ltd. is a Japanese publisher that specializes in games and, especially, logic puzzles. Nikoli is also the nickname of a quarterly magazine issued by the company...

.

External links

• Examples of Atsumari puzzles