# Face flips in origami tessellations

@article{Akitaya2019FaceFI, title={Face flips in origami tessellations}, author={Hugo A. Akitaya and Vida Dujmovic and David Eppstein and Thomas C. Hull and Kshitij Jain and Anna Lubiw}, journal={ArXiv}, year={2019}, volume={abs/1910.05667} }

Given a flat-foldable origami crease pattern $G=(V,E)$ (a straight-line drawing of a planar graph on a region of the plane) with a mountain-valley (MV) assignment $\mu:E\to\{-1,1\}$ indicating which creases in $E$ bend convexly (mountain) or concavely (valley), we may \emph{flip} a face $F$ of $G$ to create a new MV assignment $\mu_F$ which equals $\mu$ except for all creases $e$ bordering $F$, where we have $\mu_F(e)=-\mu(e)$. In this paper we explore the configuration space of face flips for… CONTINUE READING

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