POLYOMINO TILINGS

Polyomino Tilings

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Z tetromino

Area: 4.

Perimeter: 10.

Size: 2x3.

Is rectangular: no.

Is convex: yes.

Holes: 0.

Order: ∞.

Square order: ∞.

Odd order: ∞.

Prime rectangles: 0.

Some facts:

Smallest rectangle tilings

No rectangles exist.

Reptile tilings' solutions count (including symmetric)

polyomino \ n²
Z tetromino
1
0
0
0
0
0
0
0

Smallest tori tilings

Smallest torus and smallest square torus and smallest odd torus (2x2):

Tori tilings' solutions count (including translations)

w \ h
1
2
3
4
5
6
7
8
9
1
0
2
0
16
3
0
0
0
4
0
48
0
224
5
0
0
0
0
0
6
0
160
0
696
0
3376
7
0
0
0
0
0
0
0
8
0
576
96
3664
1680
22056
9408
471536
9
0
0
0
0
0
0
0
46464
0
10
0
2176
0
17688
0
129160
0
≥500000
0
11
0
0
0
0
0
0
0
≥500000
0
12
0
8448
192
96080
13680
≥500000
330120
≥500000
≥500000

Smallest Baiocchi figures

Smallest Baiocchi figure (area 16):

Smallest Baiocchi figure without holes (area 32):

See Also

T tetrominoPentominoes