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math.MG2025
Steffen's flexible polyhedron is embedded. A proof via symbolic computations
Victor Alexandrov, Evgenii Volokitin
A polyhedron is flexible if it can be continuously deformed preserving the shape and dimensions of every its face. In the late 1970's Klaus Steffen constructed a sphere-homeomorphi…
math.MG2024
A flexible polyhedron without self-intersections in Euclidean 3-space, all of whose dihedral angles change during a flex
Victor Alexandrov, Evgenii Volokitin
We construct a sphere-homeomorphic flexible self-intersection free polyhedron in Euclidean 3-space such that all its dihedral angles change during some flex of this polyhedron. The…