Uniform Polyiamond Stacks
A uniform polyiamond stack is a figure
formed by joining copies of a polyiamond, having the same
even contiguous length of cells in every row.
In other words, the rows form congruent parallelograms.
Thanks to Joyce Michel for suggesting this characterization.
Such a figure is compatible with every polyiamond with height 1.
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 polyiamonds
of orders 1 through 10.
If you find a smaller solution or solve an unsolved case,
See also Uniform Polyomino Stacks.
Last revised 2023-06-02.
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