A flexible polyhedron without self-intersections in Euclidean 3-space, all of whose dihedral angles change during a flex
arXiv:2406.14147 · doi:10.1134/S003744662406003X
Abstract
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 constructed polyhedron has 26 vertices, 72 edges and 48 faces. To study its properties, we use symbolic computations in the Wolfram Mathematica software system.
19 pages, 6 figures; this v2 is an English translation of v1, which is in Russian