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Coloring connections with counting mountain-valley assignments

Research paper by Thomas C. Hull

Indexed on: 11 Jan '16Published on: 11 Jan '16Published in: Mathematics - Combinatorics



Abstract

We survey more recent attempts at enumerating the number of mountain-valley assignments that allow a given crease pattern to locally fold flat. In particular, we solve this problem for square twist tessellations and generalize the method used to a broader family of crease patterns. We also describe the more difficult case of the Miura-ori and a recently-discovered bijection with 3-vertex colorings of grid graphs.