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Paper detail

Zero-sum cycles in flexible non-triangular polyhedra

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.

preprint2021arXivOpen access
Matteo GalletGeorg GraseggerJan LegerskýJosef Schicho
math.COmath.MGmath.AG
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Matteo GalletGeorg GraseggerJan LegerskýJosef Schicho

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