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.


Monominoes and I triomino

Prime rectangles: 6.

Smallest rectangle tilings

Smallest rectangle (1x4):

Smallest square (3x3):

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 \ h12345N>0
100
20000
30022P1212P
422P88C5252C334334C
533P1515C177177C17711771C1470514705C
644P3434C612612C98249824C131871131871Call
788P8080C21482148C5543455434C12009631200963Call
81212C168168C74127412C308454308454C1071120910711209Call
91717C359359C2548925489C17175671717567C9576557395765573Call
102727C783783C8787587875C95904699590469C≥1≥1Call
N>0allallallallall

See Also

Monominoes and DominoesMonominoes and L triomino