Balancing polyhedra

DOI10.26493/1855-3974.2120.085zbMath1466.52014arXiv1810.05382OpenAlexW2897231601MaRDI QIDQ4993948

Zsolt Lángi, Flórián Kovács, Krisztina Regős, Peter Varga, Gábor Domokos

Publication date: 11 June 2021

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05382

zbMATH Keywords

polyhedron\(f\)-vectorstatic equilibriummonostatic polyhedron

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Three-dimensional polytopes (52B10) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Statics (70C20)

Related Items (5)

Conway’s Spiral and a Discrete Gömböc with 21 Point Masses ⋮ A characterization of the symmetry groups of mono-monostatic convex bodies ⋮ The smallest mono-unstable convex polyhedron with point masses has 8 faces and 11 vertices ⋮ A solution to some problems of Conway and Guy on monostable polyhedra ⋮ Centering koebe polyhedra via Möbius transformations

Cites Work

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• Plato’s cube and the natural geometry of fragmentation
• Monostatic simplexes. III
• What shape is a loaded die?

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