Mathematicians have long been fascinated by the concept of aperiodic tiling: covering a whole surface in shapes without ever creating a repeating design. On such surfaces, there is no subsection that could be copied and pasted to expand the plane further. Past successes in aperiodic tiling have always featured a minimum of two differently shaped tiles to create the non-repeating patterns, but the search for a single āeinsteinā shape - not referring to the physicist Albert Einstein, but from the German āone stoneā ā that can uniquely cover an infinite surface on its own, continued.
In 2023, a āvampire einsteinā shape was finally discovered, so named because it can form infinite non-repeating patterns without ever requiring its mirror image. Based on a 14-sided polygon with modified, curved edges, the shape belongs to a family of other āvampireā monotiles known as āSpectres.ā
Like the monotile, āFixations (Make Me Dance)ā is a soundscape that evokes aperiodicity. From the mind of producer and DJ Vincent Pante a.k.a. Bins (
@binspants ), the track is built around a single chord sequence on one synthesizer, dubbed and modulated to layer in on itself in constant evolution. Binsā EP āThe Body Projectā features non-repeating Spectre-tiled artwork by illustrator Tim Lopez (
@slugfang ) and is brought to life with a visualizer by graphic designer Nash Cruz (
@nashycruzy ).
Link in bio for full article.
Stream Binsā 2025 EP āThe Body Projectā on Bandcamp (/album/the-body-project)