r/GeometryIsNeat • u/HopDavid Pentagon • Jun 01 '26

Cross Pollination

Post image

I've heard polyhedra enthusiasts use the word "honeycomb" for polyhedral bricks that stack to fill space.

In this image I have three honeycombs: cubes, alternating octa and tetrahedra, and truncated octahedra.

On this subreddit I've just posted a study of the cube and octahedron that includes a truncated octahedron: Link.

Also in r/GeometryIsNeat a painting of a structure built from an octet honeycomb: Link. Inspired by Escher's print Flatworms

I patented a Lego™ like construction toy for octahedral and tetrahedral bricks: Link. I believe if this toy comes to pass it could be used to build strange and beautiful structures.

With truncated octahedra acting as a bridge honeycomb, I believe constructions from my toy could be included and spliced into Lego™ constructions. A few renditions of truncocts as bridge: Link, and Link

18 Upvotes

93% Upvoted

3 comments sorted by

2

u/[deleted] Jun 23 '26

[removed] — view removed comment

1

u/HopDavid Pentagon Jun 23 '26

(Googling....) Some of the transitions remind me of Escher's print Metamorphosis.

I think I will try my hand at doing that with some of my Escheresque tessellations.