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 tetromino10000000

Smallest tori tilings

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

Tori tilings' solutions count (including translations)

w \ h123456789
100
2001616
3000000
400484800224224
50000000000
600160160006966960033763376
700000000000000
80057657696963664366416801680220562205694089408471536471536
900000000000000464644646400
1000217621760017688176880012916012916000≥500000≥50000000
1100000000000000≥500000≥50000000
12008448844819219296080960801368013680≥500000≥500000330120330120≥500000≥500000≥500000≥500000

Smallest Baiocchi figures

Smallest Baiocchi figure (area 16):

Smallest Baiocchi figure without holes (area 32):

See Also

T tetrominoPentominoes