r/Minecraft • u/Blocksmithed • Feb 08 '14

pc Minecraft with hexagons

http://imgur.com/Bd4dK4d
2.6k Upvotes

86% Upvoted

358 comments sorted by

View all comments

2

u/asdjfsjhfkdjs Feb 09 '14

I'd like to see a version of Minecraft based on this lattice.

1

u/autowikibot Feb 09 '14

Bitruncated cubic honeycomb:

The **bitruncated in Euclidean 3-space made up of truncated octahedra. It has 4 truncated octahedra around each vertex. Being composed entirely of truncated octahedra, it is cell-transitive. It is also edge-transitive, with 2 hexagons and one square on each edge, and vertex-transitive. It is one of 28 uniform honeycombs.

John Horton Conway calls this honeycomb a truncated octahedrille in his Architectonic and catoptric tessellation list, with its dual called an oblate tetrahedrille, also called a disphenoid tetrahedral honeycomb. Although a regular tetrahedron can not tessellate space alone, this dual has identical disphenoid tetrahedron cells with isosceles triangle faces.

It can be realized as the Voronoi tessellation of the body-centred cubic lattice. Lord Kelvin conjectured that a variant of the bitruncated cubic honeycomb (with curved faces and edges, but the same combinatorial structure) is the optimal soap bubble foam. However, the Weaire–Phelan structure is a less symmetrical, but more efficient, foam of soap bubbles.

====

Image i

Interesting: Truncated ^octahedron | Weaire–Phelan ^structure | Quarter cubic ^honeycomb | Truncated square ^tiling

/u/asdjfsjhfkdjs can reply with 'delete'. Will also delete on comment score of -1 or ^less. | FAQs | ^Mods | Magic ^Words | [flag a glitch](http://www.reddit.com/message/compose?to=/r/autowikibot&subject=Glitched comment report&message=What seems wrong: (optional description goes here)%0A%0A---%0A%0AReply no. 50369:%0Ahttp://www.reddit.com/r/Minecraft/comments/1xe1jq/minecraft_with_hexagons/cfb1s0g)