Category:Polyominoes

**polyomino**
	polyform whose cells are squares
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Subclass of	polyform; polygon; polyominoid; rectilinear polygon; pseudo-polyomino;
Has part(s)	square;
Follows	polyiamond;
Authority file
	Q1144819; Library of Congress authority ID: sh91006222; National Library of Israel J9U ID: 987007541709305171
	Reasonator; Scholia; Wikidocumentaries; PetScan; statistics; WikiMap; Locator tool; KML file; Search depicted;

A polyomino is a polyform with the square as its base form. It is a connected shape formed as the union of one or more identical squares in distinct locations on the plane, taken from the regular square tiling, such that every square can be connected to every other square through a sequence of shared edges (i.e., shapes connected only through shared corners of squares are not permitted).

n	Subcategory	Number of free polyominoes	Number of free polyominoes with holes	Number of one-sided polyominoes	$A_{n}$ = number of fixed polyominoes
1	Monominoes	1	0	1	1
2	Dominoes	1	0	1	2
3	Trominoes	2	0	2	6
4	Tetrominoes	5	0	7	19
5	Pentominoes	12	0	18	63
6	Hexominoes	35	0	60	216
7	Heptominoes	108	1	196	760
8	Octominoes	369	6	704	2,725
9	Nonominoes	1,285	37	2,500	9,910
10	Decominoes	4,655	195	9,189	36,446
11	Undecominoes	17,073	979	33,896	135,268
12	Dodecominoes	63,600	4,663	126,759	505,861

Subcategories

This category has the following 14 subcategories, out of 14 total.

Monominoes‎ (3 F)
Dominoes‎ (14 C, 3 P, 138 F)
Trominoes‎ (1 C, 1 P, 12 F)
Tetrominoes‎ (3 C, 92 F)
Pentominoes‎ (7 C, 53 F)
Hexominoes‎ (1 C, 18 F)
Heptominoes‎ (12 F)
Octominoes‎ (15 F)
Nonominoes‎ (1 C, 10 F)

1

Decominoes‎ (4 F)

B

Blokus‎ (4 C, 15 F)

Pages in category "Polyominoes"

The following 2 pages are in this category, out of 2 total.

P

Media in category "Polyominoes"

The following 14 files are in this category, out of 14 total.

All possible tetrominoes.jpg 486 × 129; 12 KB
All possible trominoes.png 296 × 224; 1 KB
B5-2.jpg 393 × 133; 9 KB
L-polyomino.svg 150 × 70; 8 KB
L-Tetromino rep-4.svg 345 × 231; 9 KB
L-Tromino rep-4.svg 233 × 232; 8 KB
Poliominouri.jpg 615 × 287; 23 KB
Polyomino building.jpg 4,608 × 2,592; 2.99 MB
Pseudotetrominoes-2x4x11-001.svg 120 × 100; 15 KB
Sphinx rep-4.svg 344 × 202; 8 KB
Sphinx rep-9.svg 345 × 200; 16 KB
T-Tetromino rep-16.svg 346 × 232; 30 KB
Tiling of heptaminoes.png 408 × 156; 2 KB
Ubongo-tiles.jpg 855 × 805; 203 KB

Category:Polyominoes

Subcategories

1

B

C

P

S

Pages in category "Polyominoes"

P

Media in category "Polyominoes"

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