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Main category: Polyforms

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 = 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
polimino (it); poliominó (hu); Полимино (ru); Polyomino (de); poliminó (pt); Polimino (lv); 多格骨牌 (zh); Poliomina (sl); ポリオミノ (ja); poliòmino (ca); Поліміно (uk); plurkvadrato (eo); פוליאומינו (he); 多格骨牌 (zh-tw); 多格骨牌 (zh-hant); polyomino (fr); poliominó (es); 폴리오미노 (ko); polyomino (en); متعدد المربعات (ar); 多联骨牌 (zh-hans); polyomino (nl) 數學模型 (zh-hant); Fläche, die aus n zusammenhängenden Quadraten besteht (de); terme (fr); polyform whose cells are squares (en); termine (it); 来自维基百科,免费的百科全书 (zh-hans); figura geométrica plana (es) Poliomino, Polimino, Poliminó (es); Nオミノ, N-オミノ (ja); polymino (fr); L טרומינו (he); Heptominó, Polimino (pt); Krada besto, Plurkvadrateto, Krada animalo (eo); Polyominos, N-Minos, Tetromino, Hexomino, Heptomino, Oktomino, Nonomino, Enneomino, Dekomio, Undekomino, Dodekomino (de); 폴리오미노스, 모노미노 (ko); planar polyominoid (en); متعدد مربعات (ar); 多連方塊, 四角系統 (zh); Polinomina (sl)
polyform whose cells are squares
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This category has the following 12 subcategories, out of 12 total.





Pages in category "Polyominoes"

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Media in category "Polyominoes"

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