POLYOMINO TILINGS

Polyomino Tilings

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W pentomino

Area: 5.

Perimeter: 12.

Size: 3x3.

Is rectangular: no.

Is convex: yes.

Holes: 0.

Prime rectangles: ≥ 0.

Smallest tori tilings

Smallest torus (2x5):

Smallest square torus (5x5):

Smallest odd torus (5x5):

Tori tilings' solutions count (including translations)

w \ h
1
2
3
4
5
6
7
8
9
10
1
0
2
0
0
3
0
0
0
4
0
0
0
0
5
0
40
0
80
20
6
0
0
0
0
280
0
7
0
0
0
0
140
0
0
8
0
0
0
0
720
0
0
0
9
0
0
0
0
720
0
0
0
0
10
0
320
0
600
2580
2720
1680
7960
10980
88560
11
0
0
0
0
3300
0
0
0
0
93060
12
0
0
0
0
9680
0
0
0
0
≥100000
13
0
0
0
0
14300
0
0
0
0
≥100000
14
0
0
0
0
36160
0
0
0
0
≥100000
15
0
2560
0
2960
60140
24520
22400
77760
≥100000
≥100000
16
0
0
0
0
≥100000
0
0
0
0
≥100000
17
0
0
0
0
≥100000
0
0
0
0
≥100000
18
0
0
0
0
≥100000
0
0
0
0
≥100000
19
0
0
0
0
≥100000
0
0
0
0
≥100000
20
0
20480
0
24480
≥100000
≥100000
≥100000
≥100000
≥100000
≥100000
21
0
0
0
0
≥100000
0
0
0
0
≥100000
22
0
0
0
0
≥100000
0
0
0
0
≥100000
23
0
0
0
0
≥100000
0
0
0
0
?
24
0
0
0
0
≥100000
0
0
0
0
?
25
0
≥100000
0
≥100000
≥100000
≥100000
≥100000
≥100000
≥100000
?
26
0
0
0
0
≥100000
0
0
0
0
?
27
0
0
0
0
≥100000
0
0
0
0
?
28
0
0
0
0
≥100000
0
0
0
0
?
29
0
0
0
0
≥100000
0
0
0
0
?
30
0
≥100000
0
≥100000
≥100000
≥100000
≥100000
≥100000
≥100000
?

Smallest Baiocchi figures

Smallest Baiocchi figure (area 20):

Smallest known Baiocchi figure without holes (area 40):

See Also

V pentominoX pentomino