On the Flexibility of Suspensions

TL;DR

This paper investigates the flexibility properties of suspensions, a class of polyhedra with dipyramidal structure, revealing at least five distinct flexible types among them.

Contribution

It introduces the existence of at least five different types of flexible suspensions with even-numbered vertices, expanding understanding of polyhedral flexibility.

Findings

At least five distinct flexible suspension types identified.

Flexibility depends on specific combinatorial structures.

Provides foundational insights into polyhedral flexibility theory.

Abstract

We study the flexibility of suspensions (polyhedra having the combinatorial structure of dipyramids) that have an even number of vertexes and provide arguments that there are least five distinct types of flexible suspensions.