Flexible suspensions with a hexagonal equator

Victor Alexandrov; Robert Connelly

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arXiv · 0905.3683

Flexible suspensions with a hexagonal equator

Victor Alexandrov·Robert Connelly

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Abstract

We construct a flexible (non immersed) suspension with a hexagonal equator in Euclidean 3-space and study its properties related to the Strong Bellows Conjecture which reads as follows: if an immersed polyhedron $\Cal P$ in Euclidean 3-space is obtained from another immersed polyhedron $\Cal Q$ by a continuous flex then $\Cal P$ and $\Cal Q$ are scissors congruent.

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Victor Alexandrov, Robert Connelly. 2009-05-22. Flexible suspensions with a hexagonal equator. https://arxiv.org/abs/0905.3683

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