POLYOMINO TILINGS

Polyomino Tilings

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R 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 (10x10):

Smallest odd torus (5x7):

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
240
0
6
0
0
0
0
1000
0
7
0
0
0
0
560
0
0
8
0
0
0
0
7600
0
0
0
9
0
0
0
0
360
0
0
0
0
10
0
320
480
2320
55780
15260
86800
≥100000
≥100000
≥100000
11
0
0
0
0
5280
0
0
0
0
≥100000
12
0
0
0
0
≥100000
0
0
0
0
≥100000
13
0
0
0
0
2600
0
0
0
0
≥100000
14
0
0
0
0
≥100000
0
0
0
0
≥100000
15
0
2560
1920
29280
36000
≥100000
≥100000
≥100000
≥100000
≥100000
16
0
0
0
0
≥100000
0
0
0
0
≥100000
17
0
0
0
0
51680
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
23040
≥100000
≥100000
≥100000
≥100000
≥100000
≥100000
≥100000

Smallest Baiocchi figures

Smallest Baiocchi figure (area 20):

Smallest known Baiocchi figure without holes (area 80):

See Also

P pentominoT pentomino