# Message #2319

From: Andrey <andreyastrelin@yahoo.com>

Subject: [MC4D] Re: Hyperbolic Honeycomb {7,3,3}

Date: Fri, 06 Jul 2012 09:56:04 -0000

>

> Ah right, good. That’s the 2d face of it…

> Okay… and I was wondering if the same process could be used in 3d, to find

> your 3d convex object (I think you’re calling it {3*,3})

> directly, as a sub-structure of some more "ordinary" uniform honeycomb.

> But given the answer to 1), I think probably not.

>

If you allow different lengths of edges in the honeycomb (it will be vertex- and cell-transitive, but not exactly uniform) you can build it from truncated tetrahedra - 14 of them meets in every vertex and dual cell will be 7-prism (but I can’t imagine this dual honeycomb where 12 7-prisms meet in the vertex :) ) Then cell of {3*,3,7} will be union of some cells of that honeycomb.