Conway’s Spiral and a Discrete Gömböc with 21 Point Masses

DOI10.1080/00029890.2023.2241336zbMath1526.52010arXiv2103.13727OpenAlexW3206684487MaRDI QIDQ6063423

Flórián Kovács, Gábor Domokos

Publication date: 7 November 2023

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.13727

zbMATH Keywords

convex, mono-monostatic polyhedron

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Cites Work

• Unnamed Item
• Strongly self-dual polytopes and distance graphs in the unit sphere
• Static equilibria of rigid bodies: Dice, pebbles, and the Poincaré-Hopf theorem
• Static equilibria of planar, rigid bodies: Is there anything new?
• A UNISTABLE POLYHEDRON WITH 14 FACES
• Monostatic Simplexes
• Morse Theory. (AM-51)
• Fair Dice
• Balancing polyhedra
• Monostatic simplexes. III
• What shape is a loaded die?
• A solution to some problems of Conway and Guy on monostable polyhedra

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