Spectroids

Neat looking pictures related to aperiodic tiles

Inspired by the Spectre tile I’ve generated more ‘spectroids’ which have what I believe are the most notable features of the Spectre: Alternating hexagonal and square angles, and if you color the edges in two colors so that they change color whenever it takes a 90 degree angle and otherwise stays the same then taking just the edges of each color forms a closed loop.

Craig Kaplan has made this very nice applet for exploring these and larger ones and Dave Smith has made this fun post about the Golem, a shape he pulled out of a more expanded list.

Disappointingly none of these other than the Spectre tile only aperiodically but maybe they have other interesting properties.

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