MathDBThe Archimedean solid perfection conjecture
The Archimedean solid perfection conjecture
From papers
An Archimedean solid is a three-dimensional convex polytope whose faces are regular polygons and whose symmetry group acts transitively on its vertices. Archimedean solid perfection conjecture. Every Archimedean solid is perfect. This concerns the perfection property studied for homogeneous polytopes; the source presents the assertion as a conjecture, with no resolution supplied here.
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Sources & referencesView supporting material
Primary source
V. N. Berestovskii and Yu. G. Nikonorov, “Perfect and almost perfect homogeneous polytopes”, arXiv:2304.12211 (2023).
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