Abstract
We construct a flexible (non-embedded) suspension with a hexagonal equator in Euclidean 3-space. It is known that the volume bounded by such a suspension is well defined and constant during the flex. We study its properties related to the Strong Bellows Conjecture which reads as follows: if a, possibly singular, polyhedron $\mathcal P$ in Euclidean 3-space is obtained from another, possibly singular, polyhedron $\mathcal Q$ by a continuous flex, then $\mathcal P$ and $\mathcal Q$ have the same Dehn invariants. It is well known that if $\mathcal P$ and $\mathcal Q$ are embedded, with the same volume and the same Dehn invariant, then they are scissors congruent.
Citation
Victor Alexandrov. Robert Connelly. "Flexible suspensions with a hexagonal equator." Illinois J. Math. 55 (1) 127 - 155, Spring 2011. https://doi.org/10.1215/ijm/1355927031
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