Is it possible to construct an aperiodic tiling with only one tile of a specific geometry?
Name:
Anonymous2010-01-31 12:59
This is an as-yet unsolved problem.
Name:
Anonymous2010-02-01 6:02
I say no, assuming no white space. Otherwise, yes. An infite amount of tile patterns could be made with a single tile if you could arrange them in any which way.
Name:
Anonymous2010-02-01 6:03
I say no, unless whitespace is allowed, but that's assumed not to be.