Penrose P3 Pods

These snap-together “pods” are derived from the Penrose P3 aperiodic tiling system. The different-sized tabs impose “matching rules” on how they snap together, creating intriguing “random” or fivefold rotational symmetry patterns. See below for more design details.

See here for video: https://youtu.be/_eg1Zbz1M30

See here for stable download: https://social.thangs.com/m/516856

Print the files in “vase” or “spiralized” mode with a bottom. You’ll want to print approximately equal number of “Thick” and “Thin” pieces. The files will work with different nozzle sizes. Using a larger nozzle with result in stiffer walls and a tighter fit.

Mathematician and physicist Roger Penrose investigated aperiodic tiling systems in the 1970s. Aperiodic means that shifting any tiling with these shapes by any finite distance, without rotation, cannot produce the same tiling. However, despite their lack of translational symmetry, Penrose tilings may have both reflection symmetry and fivefold ro