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Triangles and quadrilaterals suffice

Tsai, Mu-Tsun
arXiv (All) · Papers
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history-and-overviewmetric-geometry
We prove a conjecture proposed by Robert J. Lang over 20 years ago, stating that in a circle-packed origami design, any axial polygon with 5 or more sides can be reduced by properly adding a new circle. The proof is based on the structure of the medial axis of the region enclosed by the circles, and
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