Gattai

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Gattai is a Japanese word meaning merged or fused. In the world of Sudoku, this term is used for overlapping Sudokus. A number indicates how many 9x9 Sudokus are in the puzzle.

The overlapping regions always contain complete boxes, although it is theoretically possible to overlap any number of cells. For a puzzle maker, partial overlapping boxes are more difficult to create.

Many of these overlapping patterns have been named by their publishers. For each pattern, the most commonly used name is listed first, followed by alternative names.

Gattai-2

Sensei

Sensei.png

Sudokus: 2
Overlapping boxes: 2
Names: Sensei, TwoDoku

DoubleDoku

Doubledoku.png

Sudokus: 2
Overlapping boxes: 4
Names: DoubleDoku, Gattai-Near-2

Gattai-3

Gattai-3.png

Sudokus: 3
Overlapping boxes: 6 (5 x double, 1 x triple)
Names: Gattai-3, Triple

Gattai-4

Sohei

Gattai-4-sohei.png

Sudokus: 4
Overlapping boxes: 4
Names: Sohei, Ring, Diamond

Butterfly

Gattai-4-butterfly.png

Sudokus: 4
Overlapping boxes: 12 (8 x double, 4 x quadruple)
Names: Butterfly, Gattai-Near-4

Flower

Gattai-4-flower.png

Sudokus: 4
Overlapping boxes: 9 (4 x double, 4 x triple, 1 x quadruple)
Names: (open) Flower

Gattai-5

Samurai

Gattai-5-samurai.png

Sudokus: 5
Overlapping boxes: 4
Names: Samurai

Flower

Gattai-5-flower.png

Sudokus: 5
Overlapping boxes: 9 (4 x triple, 4 x quadruple, 1 x quintuple)
Names: Flower
Note: This is indeed exactly the same as Flower (4). The central sub-grid in flower (5) is superfluous since all its rows, columns and boxes are already defined by one of the other sub-grids.

Wing

Gattai-5-wing.png

Sudokus: 5
Overlapping boxes: 6
Names: Wing

Kazaguruma

Gattai-5-kazaguruma.png

Sudokus: 5
Overlapping boxes: 8
Names: Kazaguruma (Windmill)

Gattai-8

Gattai-8.png

Sudokus: 8
Overlapping boxes: 8
Names: Gattai-8

Gattai-11

Shogun

Gattai-11-shogun.png

Sudokus: 11
Overlapping boxes: 12
Names: Shogun

Gattai-13

Sumo

Gattai-13-sumo.png

Sudokus: 13
Overlapping boxes: 16
Names: Sumo, Daimyo, Harakiri

Gattai-25

Shaolin

Gattai-25-shaolin.png

Sudokus: 25
Overlapping boxes: 36
Names: Shaolin

See Also