The world of tilings has recently had a breakthrough discovery: for the first time a single shape has been found that can cover the plane only in aperiodic patterns. That means that, unlike many patterns you see on wallpapers, buildings, or floors, the patterns created by these new tiles do NOT repeat themselves. This is…
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Several years ago, I explored approximating Pi with polygons made of Geometiles. I described my findings in this blog. Fast forward to 2022, when Charles Fleischer showed me a polyhedral torus I’ve never seen before, and its boundary was a regular 30-sided polygon. The fancy name for a 30 sided polygon is triacontagon. Triaconta τριάκοντα…
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I recently had the honor of having my mathematical art exhibited in a non-mathematical setting for the first time. The venue was the Japanese Friendship Garden in San Diego, CA, where an exhibit was held for works created during the time of Covid in an effort to heal through art. The title of the exhibit…
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This past Valentine’s Day I decided to build a Geometiles version of Robert Indiana’s iconic Love sculpture. I wanted to build it in an urban setting as a sort of pop-up public art installation. I think I was partially inspired by Denver’s Blue Bear as an example of a piece of public art that was…
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