For the puzzle, isn't that the way Adobe PostScript specifies halftones? I preferred using a single rectangle and an offset. Which probably means that if you can decompose a rectangle into squares of unequal sizes, that would solve the problem. On 07-Jul-18 18:08, James Propp wrote:
Inspired by Scott Kim’s work on motley dissections ( http://www.gathering4gardner.org/g4g13-videos/), I offer a puzzle that I know the answer to and ask a question I don’t know the answer to:
Puzzle: Find a tiling of the square torus by two squares of unequal sizes.
Question: Is there a tiling of some (not necessarily square) torus by more than two squares, all of unequal sizes?
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