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Math Magic Archive

Problem of the Month
(April 2019)

Tiling identical polykings in a rectangle have been well studied, for example this page or the bottom of this page. But in order to make physical packing puzzles out of these, we need to insist that polykings not cross, such as the tiling below. What polykings (that are not polyominoes) are rigid-rectifiable in this way?

Also of interest would be using identical rigid polykings in packing puzzles with unique solutions, up to rotation and reflection, such as the packing below.

Both of these are somewhat trivial. Are there less trivial solutions?


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