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.


I tetromino and C hexomino

Prime rectangles: 26.

Smallest rectangle tilings

Smallest rectangle (7x10):

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 \ h1-67891011121314N>0
1-60
700
800000
90044P0
10044P1010P66P1212P
11001616P0246246P0
12022P2626P300300P853853P19221922P71807180P
1300110110P0438438P04573045730P0
1406868P306306P312312P878878C2596025960P157988157988C130078130078P≥1≥1C
1500624624P01133611336C0420214420214C0≥1≥1C?
1604040P11701170P1261412614C4522845228C147078147078C??≥1≥1C≥1≥1C?
170029322932P02275622756C0??0???
180796796P74067406C1164211642C4821248212C18566601856660C???????
19001641416414C0483516483516C0??0???
200538538C3361033610C434170434170C20470402047040C95583389558338C???????
21007419674196C010383101038310C0??0???
22080548054C170920170920C387568387568C23020892302089C113554220113554220C???????
2300380576380576C01978441419784414C0??0???
24061106110C809760809760C1373600213736002C8614466586144665C569760130569760130C???????
250017407181740718C04434434844344348C0??0???
2607551475514C38245603824560C1216898612168986C101370342101370342C6.40688119×10¹⁰6406881198C???????
270083772808377280C0785766810785766810C0??0???
2806321663216C1799599017995990C415446396415446396C3.47016487×10¹⁰3470164871C3.21628243×10¹¹32162824380C???????
29003849309038493090C01.81883989×10¹⁰1818839894C0??0???
300675846675846C8288769282887692C368219796368219796C4.24677934×10¹⁰4246779342C3.44491117×10¹²344491117078C???????
3100178871078178871078C03.05239009×10¹¹30523900970C0??0???
320616764616764C383420242383420242C1.22004037×10¹¹12200403794C1.35670769×10¹²135670769916C1.74939078×10¹³1749390786554C???????
3300818056820818056820C07.25588342×10¹¹72558834214C0??0???
34058635045863504C1.74623032×10¹⁰1746230320C1.08579031×10¹¹10857903134C1.72109441×10¹²172109441473C1.79464327×10¹⁴17946432781554C???????
35003.73212936×10¹⁰3732129366C01.16596654×10¹³1165966544584C0??0???
36057794585779458C7.96012569×10¹⁰7960125698C3.50689801×10¹²350689801852C5.19020162×10¹³5190201621453C9.26456098×10¹⁴92645609835310C???????
37001.69307363×10¹¹16930736304C02.83614389×10¹³2836143890220C0??0???
3804975817449758174C3.59702498×10¹¹35970249870C3.14105365×10¹²314105365044C6.81171150×10¹³6811711504333C9.14510237×10¹⁵914510237306308C???????
39007.64229547×10¹¹76422954784C04.39575126×10¹⁴43957512664392C0??0???
4005258326852583268C1.62243674×10¹²162243674986C9.91665829×10¹³9916658297388C1.95317712×10¹⁵195317712491645C4.80927565×10¹⁶4809275655048746C???????
41003.43935148×10¹²343935148726C01.09139518×10¹⁵109139518787220C0??0???
420415379086415379086C7.28255208×10¹²728255208418C8.95351642×10¹³8953516424946C2.64826844×10¹⁵264826844926880C4.58577610×10¹⁷45857761056859964C???????
43001.54123157×10¹³1541231574380C01.63986951×10¹⁶1639869511855360C0??0???
440467757122467757122C3.26000765×10¹³3260007659370C2.76835444×10¹⁵276835444989056C7.25641297×10¹⁶7256412979914074C2.45820998×10¹⁸245820998792011866C???????
45006.88978758×10¹³6889787581678C04.14836093×10¹⁶4148360933115898C0??0???
4603.42420443×10¹⁰3424204438C1.45483504×10¹⁴14548350442618C2.52240860×10¹⁵252240860900846C1.01535899×10¹⁷10153589939725202C2.27189314×10¹⁹2271893142900021408C???????
47003.07010332×10¹⁴30701033237194C06.06510904×10¹⁷60651090452979240C0??0???
4804.08751586×10¹⁰4087515868C6.47547832×10¹⁴64754783208048C7.64860598×10¹⁶7648605986505466C2.66829162×10¹⁸266829162346086890C1.24117043×10²⁰12411704382175828036C???????
49001.36501975×10¹⁵136501975972550C01.56110319×10¹⁸156110319918178058C0??0???
5002.79496854×10¹¹27949685416C2.87560240×10¹⁵287560240894286C7.03865836×10¹⁶7038658360572846C3.84964222×10¹⁸384964222421146607C≥1.84467440×10²⁰≥18446744073709551615C???????
51006.05446670×10¹⁵605446670280170C02.22711304×10¹⁹2227113041982729812C0??0???
5203.52069579×10¹¹35206957970C1.27413772×10¹⁶1274137729516952C2.09531983×10¹⁸209531983017504308C9.72945831×10¹⁹9729458311978376579C≥1.84467440×10²⁰≥18446744073709551615C???????
53002.68011991×10¹⁶2680119915672806C05.82641873×10¹⁹5826418732136036430C0??0???
5402.26332160×10¹²226332160982C5.63480775×10¹⁶5634807755062904C1.94860699×10¹⁸194860699109967954C1.44621544×10²⁰14462154459588879487C≥1.84467440×10²⁰≥18446744073709551615C???????
55001.18413258×10¹⁷11841325873184256C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
5602.99647311×10¹²299647311658C2.48735190×10¹⁷24873519072907082C5.69945116×10¹⁹5699451167429665126C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
57005.22276467×10¹⁷52227646738905492C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
5801.82097876×10¹³1820978765940C1.09620067×10¹⁸109620067027916544C5.35869916×10¹⁹5358699165865354524C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
59002.29990468×10¹⁸229990468552169610C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
6002.52482071×10¹³2524820713098C4.82357973×10¹⁸482357973717233014C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
61001.01129498×10¹⁹1011294988685882672C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
6201.45727669×10¹⁴14572766977430C2.11952709×10¹⁹2119527092210423248C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
63004.44074854×10¹⁹4440748545201732022C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
6402.10927841×10¹⁴21092784171020C9.30111502×10¹⁹9301115023779110138C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
6500≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
6601.16102339×10¹⁵116102339790162C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
6700≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
6801.74918120×10¹⁵174918120988964C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
6900≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
7009.21524948×10¹⁵921524948644532C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
7100≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
7201.44128721×10¹⁶1441287217155686C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
7300≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
7407.29100131×10¹⁶7291001312864150C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
7500≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
7601.18093150×10¹⁷11809315057161130C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
7700≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
7805.75285062×10¹⁷57528506283431186C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
7900≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
8009.62817231×10¹⁷96281723160961728C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
8100≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
8204.52857715×10¹⁸452857715384545896C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
8300≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
8407.81537006×10¹⁸781537006484189148C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
8500≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
8603.55764368×10¹⁹3557643684467067992C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
8700≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
8806.31898668×10¹⁹6318986688760524164C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
8900≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
900≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
9100≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
920≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
9300≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
940≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
9500≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
960≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
9700≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
980≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
9900≥1.84467440×10²⁰≥18446744073709551615C0≥1.84467440×10²⁰≥18446744073709551615C0??0???
1000≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C≥1.84467440×10²⁰≥18446744073709551615C???????
N>0x2kall2kall2kall2kall

See Also

I tetromino and A hexominoI tetromino and G hexomino