Uniform Polyomino Stacks

A uniform polyomino stack is a figure formed by joining copies of a polyomino, having the same contiguous length of cells in every row. Such a figure is compatible with every linear polyomino. It is equivalent to a tiling of a cylinder, but not every cylindrical tiling defines a uniform stack.

Here are minimal known uniform stacks for polyominoes of orders 1 through 9. If you find a smaller solution or solve an unsolved case, please write.

See also Uniform Polyiamond Stacks.

Monomino

Domino

Trominoes

Tetrominoes

Pentominoes

Impossible

Hybrid Solutions

Hexominoes

Impossible

Hybrid Solutions

Heptominoes

Octominoes

Enneominoes

Last revised 2023-06-28.


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