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arXiv · 2603.07734

The orthogonal connectedness of polyhedral surfaces

Julia Q. Du·Xuemei He·Xiaotian Song·Daniela Stiller·Liping Yuan·Tudor Zamfirescu
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Abstract

Using the orthogonal connectedness, we introduce the notion of orthogonal decomposability of convex polytopes and study it in the case of Platonic and Archimedean solids. While doing so, we also encounter polytopes which are not orthogonally decomposable.

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Julia Q. Du, Xuemei He, Xiaotian Song, Daniela Stiller, Liping Yuan, Tudor Zamfirescu. 2026-03-08. The orthogonal connectedness of polyhedral surfaces. https://arxiv.org/abs/2603.07734

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