Rooted: Created page with "A square region containing 9 cells in a 3x3 formation. Boxes are usually surrounded by a thick border. Together, the '''boxes''' form one of the 3 main divisions of t..."

2020-05-31T19:09:41Z

Created page with "A square region containing 9 cells in a 3x3 formation. Boxes are usually surrounded by a thick border. Together, the '''boxes''' form one of the 3 main divisions of t..."

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A square region containing 9 [[cell]]s in a 3x3 formation. Boxes are usually surrounded by a thick border.

Together, the '''boxes''' form one of the 3 main [[division]]s of the [[grid]].

Each box is also a [[house]], because it must contain [[digit]]s 1 through 9.

Boxes are usually numbered from '''1''' to '''9''' in the following way:

+---+---+---+
| 1 | 2 | 3 |
+---+---+---+
| 4 | 5 | 6 |
+---+---+---+
| 7 | 8 | 9 |
+---+---+---+

Without the boxes, Sudoku would only be a Latin Square. The presence of the box constraints has made it possible to develop several solving techniques that would not be possible in a Latin Square. The boxes have therefore greatly contributed to the popularity of Sudoku.

In discussions of [[Killer Sudoku]] the synonym "nonet" is most frequently used, largely to avoid confusion with the smaller boxes ([[cage]]s) that are found in this type of puzzle.

== Related Terms ==
; Aliases
: block | nonet | region | subgrid

; Belongs to
: [[grid]] | [[floor]] | [[tower]] | [[division]]

; Subtype of
: [[house]]

; Contains
: 9 [[cell]]s | 6 [[intersection]]s | 3 [[boxrow]]s | 3 [[boxcol]]s
[[Category:Partitions]]

Region - Revision history

Rooted: Created page with "A square region containing 9 cells in a 3x3 formation. Boxes are usually surrounded by a thick border. Together, the '''boxes''' form one of the 3 main divisions of t..."