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 Y2 hexomino

Prime rectangles: ≥ 124.

Smallest rectangle tilings

Smallest rectangle (6x9):

Smallest square (18x18):

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 \ h1-567-89101112131415161718N>0
1-50
6000
7-80000
9022P000
1000000000
110000000000
12000044C000000
1300000000000000
140000000000000000
15000000000022P000000
1600000000000000000000
170000000000000000000000
18044C01010C00001616C0000≥1≥10000≥1≥1
190000000000000000000000≥1≥1?
200000000000000000000000≥1≥1?
21000000000000000000≥1≥100≥1≥1?
220000000000000000≥1≥10000≥1≥1?
23022P000000044C0000000000≥1≥1?
2400002626C00001818C0000≥1≥10000≥1≥1?
25000000000044P0000≥1≥10000???
26000022P000022P0000≥1≥100≥1≥1???
27088C00000006464C000000≥1≥1≥1≥1???
280000000000000000≥1≥100≥1≥1???
2900000000001212P0000≥1≥1≥1≥1≥1≥1???
3000006868C000044C0000≥1≥1≥1≥1≥1≥1???
31000000000000000000≥1≥1≥1≥1???
3201010C01212C0000100100C≥1≥1P00≥1≥1≥1≥1≥1≥1???
330000000000114114C0000≥1≥1≥1≥1≥1≥1???
3400000000004040C0000≥1≥1≥1≥1≥1≥1???
3500000000002424C0000≥1≥1≥1≥1≥1≥1???
3601616C0178178C0000264264C00≥1≥1≥1≥1≥1≥1≥1≥1???
37022P00000003838C00≥1≥1≥1≥1≥1≥1≥1≥1???
3800005050C0000242242C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
3900000000006868C00≥1≥1≥1≥1≥1≥1≥1≥1???
40000022P00007070C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
4103434C000000012401240C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
420000466466C0000638638C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
430000000044P466466C0000≥1≥1≥1≥1≥1≥1???
440000180180C0022P280280C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
4503232C000000011921192C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
4601616C01616C0000868868C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
47000000001818P30403040C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
48000012201220C0000954954C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
4900000022P0015181518C00≥1≥1≥1≥1≥1≥1≥1≥1???
5009898C0600600C00001151011510C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
51022P0000088P≥1≥1C≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
5200008484C0000??≥1≥1P≥1≥1≥1≥1≥1≥1≥1≥1???
5300001616P0000??≥1≥1P≥1≥1≥1≥1≥1≥1?????
5406464C031963196C0022P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
5507878C0000000??≥1≥1P≥1≥1≥1≥1≥1≥1?????
56000019081908C22P00??≥1≥1P≥1≥1≥1≥1≥1≥1?????
570000000000??≥1≥1P≥1≥1≥1≥1≥1≥1?????
580000366366C002020P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
590258258C09696C0088P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
6002222C084468446C88P4444P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
6100004848P0088P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
62000058785878C0000??≥1≥1P≥1≥1≥1≥1≥1≥1?????
630128128C088P0000??≥1≥1P≥1≥1≥1≥1≥1≥1?????
640300300C014341434C002828P??≥1≥1C≥1≥1≥1≥1≥1≥1?????
65022P0400400C003636P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
6600002240222402C002828P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
670000496496C3434P6060P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
680642642C01795817958C001010P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
690140140C07676C0000??≥1≥1P≥1≥1≥1≥1≥1≥1?????
70000052605260C005656P??≥1≥1C≥1≥1≥1≥1≥1≥1?????
71000014581458C00160160P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
720256256C05955459554C007272P??≥1≥1C≥1≥1≥1≥1≥1≥1?????
73010021002C025202520C00140140P??≥1≥1C≥1≥1≥1≥1≥1≥1?????
7402828C05459854598C005454P??≥1≥1C≥1≥1≥1≥1≥1≥1?????
75000011961196C00172172P??≥1≥1P≥1≥1≥1≥1≥1≥1?????
7600001858818588C00114114P??≥1≥1C≥1≥1?????????
77015381538C049764976C00484484P??≥1≥1C≥1≥1?????????
780676676C0158708158708C6464P134134P??≥1≥1C≥1≥1?????????
79022P01012810128C1414P312312P??≥1≥1C≥1≥1?????????
800000163720163720C00254254P??≥1≥1C≥1≥1?????????
810512512C080008000C00372372P??≥1≥1C≥1≥1?????????
82030483048C06568465684C00322322P??≥1≥1C≥1≥1?????????
830220220C01713617136C00996996P??≥1≥1C≥1≥1?????????
840000424156424156C00774774P??≥1≥1C≥1≥1?????????
8500003666036660C258258P19641964P??≥1≥1C≥1≥1?????????
86035863586C0484466484466C00880880C??≥1≥1C≥1≥1?????????
87027502750C03679236792C88P14341434C??≥1≥1C≥1≥1?????????
8803434C0227490227490C0012981298C??≥1≥1C≥1≥1?????????
8900006240062400C0042204220P??≥1≥1C≥1≥1?????????
90010241024C011392081139208C0020162016C??≥1≥1C≥1≥1?????????
91086788678C0124572124572C22P23562356C??≥1≥1C≥1≥1?????????
92012801280C014185201418520C0029922992P??≥1≥1C≥1≥1?????????
93022P0143596143596C0025522552P??≥1≥1C≥1≥1?????????
940000762678762678C88P50445044C??≥1≥1C≥1≥1?????????
95081948194C0225694225694C001332613326C??≥1≥1C≥1≥1?????????
96099469946C030848923084892C384384P79867986P??≥1≥1C≥1≥1?????????
970318318C0413208413208C292292P87728772C??≥1≥1C≥1≥1?????????
98000041178584117858C1414C86048604C??≥1≥1C≥1≥1?????????
99020482048C0515866515866C0091969196P??≥1≥1C≥1≥1?????????
10002352423524C024867042486704C88P1471414714P??≥1≥1C≥1≥1?????????
101061506150C0784528784528C1616P2849028490C???????????????
10204040C084195188419518C4848P1678416784C???????????????
103000013639521363952C15381538P2358023580C???????????????
10401843418434C01188239411882394C003089830898C???????????????
10503301633016C017591961759196C184184C3623236232C???????????????
106021662166C079347587934758C004454044540C???????????????
107022P026344302634430C88P7995279952C???????????????
108040964096C02312297423122974C006169261692C???????????????
10906141061410C044602764460276C412412C7607076070C???????????????
11002583625836C03418020834180208C009085890858C???????????????
1110434434C058318825831882C9898P101712101712C???????????????
11200002488204424882044C148148C125026125026C???????????????
11304096240962C086278988627898C3232P307270307270C???????????????
1140102680102680C06386441663864416C20642064P219886219886C???????????????
11501201212012C01435875214358752C33023302P263228263228C???????????????
11604646C09809908698099086C266266C306452306452C???????????????
117081928192C01909474419094744C3232P306462306462C???????????????
1180155616155616C07702217477022174C280280P458732458732C???????????????
11909822498224C02772121627721216C224224P734868734868C???????????????
120033883388C0177349998177349998C17441744C643348643348C???????????????
121022P04556057245560572C88468846P738458738458C???????????????
12209011490114C0280877406280877406C208208P914692914692C???????????????
1230303418303418C06183027061830270C21802180C10287301028730C???????????????
12405754057540C0236353442236353442C9292P15593201559320C???????????????
1250568568C08807404088074040C288288P24398542439854C???????????????
12601638416384C0495033528495033528C9696P21222722122272C???????????????
1270384990384990C0142883162142883162C1023610236C22555062255506C???????????????
1280345680345680C0802567804802567804C128128C29862482986248C???????????????
12902130821308C0197591242197591242C30303030P32293523229352C???????????????
13005252C0719860922719860922C16021602P47204504720450C???????????????
1310196610196610C0278594698278594698C25522552P74629907462990C???????????????
1320860510860510C01.38932884×10¹⁰1389328846C1063210632P68574466857446C???????????????
1330246820246820C0443943520443943520C2890228902P73601907360190C???????????????
134050005000C02.28974731×10¹⁰2289747316C35463546C1026717410267174C???????????????
13503277032770C0623898914623898914C16081608C1065115210651152C???????????????
1360933852933852C02.17643714×10¹⁰2176437148C48484848C1496562214965622C???????????????
137011440101144010C0877011640877011640C26682668P2529621225296212C???????????????
1380114688114688C03.92258637×10¹⁰3922586372C3426434264C2183122021831220C???????????????
1390720720C01.37159811×10¹⁰1371598118C6351663516C2423419424234194C???????????????
1400425986425986C06.52620058×10¹⁰6526200584C53385338C3190870431908704C???????????????
141023596842359684C01.95031577×10¹⁰1950315776C1915619156C3577609435776094C???????????????
1420971060971060C06.53683300×10¹⁰6536833004C27762776P4871754048717540C???????????????
14303517235172C02.74251145×10¹⁰2742511452C55525552C7595771475957714C???????????????
14406559465594C01.11347821×10¹¹11134782190C42404240P6862765068627650C???????????????
145022281862228186C04.22684069×10¹⁰4226840692C151136151136C7965752879657528C???????????????
146036011803601180C01.85973680×10¹¹18597368076C45724572C104641876104641876C???????????????
1470548268548268C06.04707448×10¹⁰6047074486C5723857238C119492556119492556C???????????????
148070567056C01.95208477×10¹¹19520847766C1701217012P153941190153941190C???????????????
1490917508917508C08.51943271×10¹⁰8519432716C5969659696C245977854245977854C???????????????
150062918846291884C03.17468717×10¹¹31746871768C6112861128C225718766225718766C???????????????
151035635503563550C01.29896360×10¹¹12989636094C239046239046C259871018259871018C???????????????
1520210204210204C05.30281644×10¹¹53028164428C3992039920C345481904345481904C???????????????
1530131962131962C01.86413296×10¹¹18641329646C4044840448C393735308393735308C???????????????
154052428405242840C05.80103388×10¹¹58010338816C6967469674C497235568497235568C???????????????
15501087520410875204C02.63079447×10¹¹26307944720C3708837088P792910668792910668C???????????????
156023864882386488C09.08481404×10¹¹90848140478C457330457330C744369498744369498C???????????????
15705490054900C03.97759053×10¹¹39775905330C646046646046C863818594863818594C???????????????
158019661461966146C01.51323323×10¹²151323323158C8742487424C1.13697052×10¹⁰1136970526C???????????????
15901638447016384470C05.72452530×10¹¹57245253026C169102169102C1.30200986×10¹⁰1302009868C???????????????
16001234971012349710C01.71720254×10¹²171720254598C5617256172C1.63441500×10¹⁰1634415000C???????????????
161011085361108536C08.08198653×10¹¹80819865300C103514103514C2.48307817×10¹⁰2483078176C???????????????
1620271754271754C02.60785112×10¹²260785112324C109814109814C2.43297735×10¹⁰2432977350C???????????????
16301218965612189656C01.21361024×10¹²121361024792C17432701743270C2.80592468×10¹⁰2805924684C???????????????
16403171513631715136C04.32154466×10¹²432154466248C110070110070C3.72645906×10¹⁰3726459066C???????????????
165096264789626478C01.75163673×10¹²175163673032C827310827310C4.33005039×10¹⁰4330050392C???????????????
1660360792360792C05.06798138×10¹²506798138576C206956206956C5.37622229×10¹⁰5376222294C???????????????
167041953844195384C02.47299799×10¹²247299799076C930768930768C8.02678635×10¹⁰8026786350C???????????????
16804181248241812482C07.50580562×10¹²750580562972C503368503368C8.01459252×10¹⁰8014592522C???????????????
16904079723440797234C03.69057581×10¹²369057581546C21803322180332C9.22365761×10¹⁰9223657618C???????????????
170052916885291688C01.23518843×10¹³1235188439378C428834428834C1.23198402×10¹¹12319840256C???????????????
1710606238606238C05.34020087×10¹²534020087296C867374867374C1.41825074×10¹¹14182507402C???????????????
17202804943428049434C01.49184594×10¹³1491845944844C931692931692C1.75192163×10¹¹17519216342C???????????????
17308977947089779470C07.54470881×10¹²754470881478C652268652268C2.59089055×10¹¹25908905544C???????????????
17403645616836456168C02.16545423×10¹³2165454235472C48877984887798C2.64946132×10¹¹26494613288C???????????????
175020811122081112C01.11898562×10¹³1118985621952C74933307493330C3.05957174×10¹¹30595717488C???????????????
176089256148925614C03.53367389×10¹³3533673895478C12289301228930C4.07470948×10¹¹40747094826C???????????????
1770104858162104858162C01.62248304×10¹³1622483043104C19527141952714C4.69706396×10¹¹46970639686C???????????????
1780129407418129407418C04.38126125×10¹³4381261250524C10472381047238C5.75906234×10¹¹57590623432C???????????????
17902328447023284470C02.29538573×10¹³2295385734316C19263321926332C8.47493522×10¹¹84749352202C???????????????
180016359981635998C06.26109907×10¹³6261099070068C22967902296790C8.70851471×10¹¹87085147124C???????????????
18106396437463964374C03.38484960×10¹³3384849602564C1844871818448718C1.00945765×10¹²100945765094C???????????????
1820247720620247720620C01.01195000×10¹⁴10119500072728C21030962103096C1.34669055×10¹²134669055402C???????????????
1830130912782130912782C04.91422845×10¹³4914228453030C1019665410196654C1.55729888×10¹²155729888580C???????????????
18401081344010813440C01.28407053×10¹⁴12840705369234C29009342900934C1.89688336×10¹²189688336858C???????????????
18501899231218992312C06.96408697×10¹³6964086974206C1191427411914274C2.74918833×10¹²274918833814C???????????????
1860258998956258998956C01.81359596×10¹⁴18135959614964C58808545880854C2.87260333×10¹²287260333566C???????????????
1870396407256396407256C01.02203603×10¹⁴10220360311360C2338001223380012C3.34251426×10¹²334251426726C???????????????
18809572620295726202C02.90135002×10¹⁴29013500205768C50286425028642C4.45893874×10¹²445893874078C???????????????
189057766305776630C01.48437661×10¹⁴14843766139148C1656065016560650C5.15715602×10¹²515715602446C???????????????
1900144719868144719868C03.75683706×10¹⁴37568370646132C1201785012017850C6.24296621×10¹²624296621990C???????????????
1910668461082668461082C02.10731770×10¹⁴21073177024082C1292052812920528C8.98618059×10¹²898618059050C???????????????
1920449233428449233428C05.26076420×10¹⁴52607642014524C4646791646467916C9.50386641×10¹²950386641858C???????????????
19305156256651562566C03.08073623×10¹⁴30807362345000C8445885284458852C1.10724332×10¹³1107243326860C???????????????
19404076170640761706C08.32927154×10¹⁴83292715413694C1653632216536322C1.47813008×10¹³1478130082400C???????????????
1950631244918631244918C04.47360143×10¹⁴44736014384076C2882266428822664C1.70884254×10¹³1708842545644C???????????????
19601.17812755×10¹⁰1178127552C01.09755691×10¹⁵109755691546206C1883969218839692C2.06259275×10¹³2062592757216C???????????????
1970371522448371522448C06.36122352×10¹⁴63612235249008C3339439433394394C2.93694083×10¹³2936940837944C???????????????
19802487133424871334C01.52771594×10¹⁵152771594414640C4107257041072570C3.14578174×10¹³3145781745810C???????????????
1990325223168325223168C09.27055695×10¹⁴92705569533372C200656336200656336C3.66985226×10¹³3669852269152C???????????????
20001.76894096×10¹⁰1768940962C02.39430336×10¹⁵239430336684432C3509694235096942C4.89309575×10¹³4893095757920C???????????????
N>0xallxallallallallall?????

See Also

U pentomino and Y1 hexominoU pentomino and Z2 hexomino