POLYOMINO TILINGS

Polyomino Tilings

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


Z pentomino

Area: 5.

Perimeter: 12.

Size: 3x3.

Is rectangular: no.

Is convex: yes.

Holes: 0.

Prime rectangles: ≥ 0.

Smallest tori tilings

Smallest torus and smallest square torus and 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
0
0
0
40
6
0
0
0
0
0
0
7
0
0
0
0
0
0
0
8
0
0
0
0
0
0
0
0
9
0
0
0
0
0
0
0
0
0
10
0
0
120
160
40
300
560
400
1020
≥10000
11
0
0
0
0
0
0
0
0
0
3520
12
0
0
0
0
0
0
0
0
0
5260
13
0
0
0
0
0
0
0
0
0
≥10000
14
0
0
0
0
0
0
0
0
0
≥10000
15
0
0
240
0
40
240
0
0
240
≥10000
16
0
0
0
0
0
0
0
0
0
≥10000
17
0
0
0
0
0
0
0
0
0
≥10000
18
0
0
0
0
0
0
0
0
0
≥10000
19
0
0
0
0
0
0
0
0
0
≥10000
20
0
0
1440
2560
40
2100
4200
3440
4860
≥10000
21
0
0
0
0
0
0
0
0
0
≥10000
22
0
0
0
0
0
0
0
0
0
≥10000
23
0
0
0
0
0
0
0
0
0
≥10000
24
0
0
0
0
0
0
0
0
0
≥10000
25
0
0
4800
0
40
4800
0
0
4800
≥10000
26
0
0
0
0
0
0
0
0
0
≥10000
27
0
0
0
0
0
0
0
0
0
≥10000
28
0
0
0
0
0
0
0
0
0
≥10000
29
0
0
0
0
0
0
0
0
0
≥10000
30
0
0
≥10000
≥10000
40
≥10000
≥10000
≥10000
≥10000
≥10000

Smallest Baiocchi figures

Smallest Baiocchi figure (area 20):

See Also

Y pentominoA hexomino