Message #3215

From: Roice Nelson <roice3@gmail.com>
Subject: Visualizing Hyperbolic Honeycombs
Date: Tue, 10 Nov 2015 19:56:25 -0600

Hello again,

I wanted to share a new paper that Henry Segerman and I have been working on in the background for the last few years, which we just submitted it to the Journal of Mathematics and the Arts.

Why share with this group? Because the paper was born right here with the following thread started by Nan!

https://groups.yahoo.com/neo/groups/4D_Cubing/conversations/topics/2291

It’s an exciting thread in my opinion, and a nice record of an unfolding mathematical investigation. In the paper, we give a shout out to Nan and Don, and reference that initial thread.

We were able to extend upper half space boundary images to all {p,q,r} honeycombs, even {∞,∞,∞}. Will someone figure out how to make a permutation puzzle out of that honeycomb?!? Believe it or not, I suspect it is possible.

I hope some of you will enjoy reading the paper, or looking at the many images it contains. The preprint is here:

http://arxiv.org/abs/1511.02851

Best,
Roice