Tiling a Beveled Rectangle with a Polyomino

Which polyominoes can tile a rectangle with its corners cut at 45°? Here I show the smallest known tilings for various cutoffs. If you find a better solution or solve a missing case, please write.

For a bevel of one unit, see Erich Friedman's Math Magic for March 2007, which shows tilings of rectangles with equal squares excised from the corners.

[ Bevel 2 | Bevel 3 | Bevel 4 | Bevel 5 }

Bevel 2

Domino

Trominoes

Tetrominoes

Pentominoes

Hexominoes

Heptominoes

Bevel 3

Domino

Trominoes

Tetrominoes

Pentominoes

Hexominoes

Heptominoes

Bevel 4

Domino

Trominoes

Tetrominoes

Pentominoes

Hexominoes

Heptominoes

Bevel 5

Domino

Trominoes

Tetrominoes

Pentominoes

Hexominoes

Heptominoes

Last revised 2018-05-15.


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Col. George Sicherman [ HOME | MAIL ]