• Ralph M. Kaufmann, Sergei Khlebnikov, and Birgit Wehefritz-Kaufmann, The geometry of the Double Gyroid wire network: Quantum and Classical, *Journal of Noncommutative Geometry* **6** (2012), 623–664.

and subsequent papers.

]]>By the way, to get LaTeX to work in comments here, follow the directions that appear in boldface above the box where you type in your comment.

]]>http://kurage.nimh.nih.gov/tomh/HCA/

Some of your graphs have negative curvature. In hyperbolic space, there’s enough room to do some interesting things. NP complete problems can be solved in polynomial time, at the expense of exponentially expanding space.

There’s a book about it,

https://www.amazon.com/Cellular-Automata-Hyperbolic-Spaces-Theory/dp/1933153040

And a random interesting paper here:

https://arxiv.org/pdf/1309.1271.pdf

I don’t understand this stuff much, but tilings of hyperbolic space allow one to see some of the connections between graphs and computation.

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