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arXiv · 2301.04394

Counting Frameworks of Bipyramids

Jack Southgate
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Abstract

We give a linear upper bound on the number of distinct volume-equivalent frameworks of bipyramids, up to rigid motions. As a corollary, we show that global volume rigidity is not a generic property of simplicial complexes.

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Jack Southgate. 2026-01-24. Counting Frameworks of Bipyramids. https://arxiv.org/abs/2301.04394

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