Meissner polyhedra are solids of constant width that generalize the Meissner tetrahedra. They are three-dimensional analogs of Reuleaux polygons (Bogosel 2023). Their boundaries consist of pieces of spheres and spindle tori (Hynd 2023). Bogosel (2023) constructed Meissner polyhedra up to 14 vertices.
See alsoMeissner Tetrahedra
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ReferencesBogosel, B. "Volume Computation for Meissner Polyhedra and Applications." 25 Oct 2023. https://arxiv.org/abs/2310.17672.Hynd, R. "The Density of Meissner Polyhedra." 8 Apr 2023. https://arxiv.org/abs/2304.04035.
Cite this as:
Weisstein, Eric W. "Meissner Polyhedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MeissnerPolyhedron.html