POLYOMINO TILINGS

Polyomino Tilings

Select polyominoes for a set (currently 1 or 2), for which tilings should be shown.

Then click "Show" button.

You may also see list of all polyomino sets for which data is available here.


U pentomino and L1 heptomino

Prime rectangles: ≥ 116.

Smallest rectangle tilings

Smallest rectangle and smallest square (10x10):

Rectangle tilings' solutions count (including symmetric)

Blue number (P) - strongly prime rectangle (which cannot be divided into two or more number of rectangles tileable by this set).

Green number (W) - weakly prime rectangle (which cannot be divided into two rectangles tileable by this set, but which can be divided into three or more rectangles).

Red number (C) - composite rectangle (which can be divided into two rectangles tileable by this set).

Gray number - it is unknown whether rectangle is prime or composite.

Question mark (?) - solution count is unknown.

Click on underlined numbers to view picture with one solution.

w \ h1-7891011121314151617181920N>0
1-70
8000
900000
1000000≥1≥1P
11000000000
1200000≥1≥1P00≥1≥1P
130000000000000
14000000000≥1≥1P00≥1≥1P
15000000000≥1≥1P≥1≥1P≥1≥1P≥1≥1P
1600000≥1≥1P00≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P
1700000≥1≥1P00≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P
1802424P00≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1C≥1≥1P≥1≥1C
1901616P00≥1≥1P00≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1C≥1≥1P≥1≥1C≥1≥1P
2004848P00≥1≥1C≥1≥1P≥1≥1C≥1≥1P≥1≥1P≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C
2100000≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1C≥1≥1C≥1≥1Call
2205858P00≥1≥1C≥1≥1P≥1≥1C≥1≥1P≥1≥1P≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
2300012801280P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
2403232P20482048P≥1≥1C≥1≥1P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
250824824P00≥1≥1P≥1≥1P≥1≥1C≥1≥1P≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
260512512P00≥1≥1C≥1≥1P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
27024322432P00≥1≥1C≥1≥1P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
280128128P00≥1≥1C≥1≥1P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
29027042704P00≥1≥1C≥1≥1P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
30021442144P256256P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1Call
31014081408P00≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C????????????all
3202131221312P18241824P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C????????????all
3301254412544P247296247296P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C????????????all
3408147281472P81928192P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C????????????all
35064006400P30723072P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C????????????all
3609145691456C438784438784P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C????????????all
370103424103424C64266246426624P≥1≥1C≥1≥1P≥1≥1C≥1≥1C≥1≥1C????????????all
3804617646176C82032648203264P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C????????????all
390500096500096C260352260352P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C????????????all
400283104283104C6594457665944576P≥1≥1C≥1≥1C≥1≥1C≥1≥1C≥1≥1C????????????all
41022399442239944C63228166322816P≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
420233664233664C954496954496P≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
43025384642538464C1561344015613440P≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
44033625963362596C5730201657302016P≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
45013082561308256C4448000044480000P≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
4601124556811245568C7355289673552896C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
47063053766305376C1.00128051×10¹⁰1001280512C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
4805543027255430272C8231091282310912C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
49078058887805888C613225984613225984P≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
5006419097664190976C1.82673254×10¹⁰1826732544P≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
5109171737691717376C1.86958448×10¹¹18695844864P≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
5203538179235381792C2.26059248×10¹¹22605924864P≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
530247664384247664384C2.26065561×10¹⁰2260655616C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
540142641440142641440C2.33940175×10¹²233940175360C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
5501.28837715×10¹⁰1288377152C2.40384343×10¹¹24038434304C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
560255679744255679744C9.90877030×10¹⁰9908770304C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
5701.55093760×10¹⁰1550937600C6.30075069×10¹¹63007506944C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
5802.26705673×10¹⁰2267056736C2.15165592×10¹²215165592576C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
590950395648950395648C2.02797128×10¹²202797128704C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6005.39481139×10¹⁰5394811392C2.99710369×10¹²299710369440C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6103.30796051×10¹⁰3307960512C2.97242364×10¹³2972423646208C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6202.87960240×10¹¹28796024000C3.97152666×10¹²397152666112C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6308.29137648×10¹⁰8291376480C2.75694833×10¹³2756948336128C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6403.68874855×10¹¹36887485504C5.83231744×10¹³5832317445632C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6505.27770074×10¹¹52777007488C4.59544843×10¹⁴45954484329984C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6602.57586214×10¹¹25758621416C5.78545327×10¹⁴57854532762112C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6701.17116360×10¹²117116360128C9.34330189×10¹³9343301895680C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6807.86789509×10¹¹78678950912C6.17921452×10¹⁵617921452838400C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
6906.29030720×10¹²629030720288C6.91877000×10¹⁴69187700085888C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
7002.66752034×10¹²266752034880C4.63547773×10¹⁴46354777361408C≥1≥1C≥1≥1C≥1≥1C≥1≥1C??????????????all
N>0xallallallallallallallallallallallallall

See Also

U pentomino and Z2 hexominoU pentomino and L1 octomino