Finding necessary conditions for the geometry of flexible polyhedra is a classical problem that has received attention also in recent times. For flexible polyhedra with triangular faces, we showed in a previous work the existence of cycles with a sign assignment for their edges, such that the signed sum of the edge lengths along the cycle is zero. In this work, we extend this result to flexible non-triangular polyhedra.

Zero-Sum Cycles in Flexible Non-triangular Polyhedra

Gallet M.
;
Schicho J.
2022-01-01

Abstract

Finding necessary conditions for the geometry of flexible polyhedra is a classical problem that has received attention also in recent times. For flexible polyhedra with triangular faces, we showed in a previous work the existence of cycles with a sign assignment for their edges, such that the signed sum of the edge lengths along the cycle is zero. In this work, we extend this result to flexible non-triangular polyhedra.
2022
978-3-030-91351-9
978-3-030-91352-6
https://link.springer.com/chapter/10.1007/978-3-030-91352-6_14
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/3056478
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