A web of confocal parabolas in a grid of hexagons

DOI10.1007/s13366-022-00651-1zbMath1528.51005arXiv2112.02157MaRDI QIDQ6174571

Dan Reznik, Peter J. C. Moses

Publication date: 17 August 2023

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.02157

zbMATH Keywords

Napoleon's theoremconfocal parabolasisodynamicregular hexagonsflank triangles

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Questions of classical algebraic geometry (51N35) Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.) (68T20) Elementary problems in Euclidean geometries (51M04) Euclidean analytic geometry (51N20)

Cites Work

• Regular hexagons associated to triangles with equal centroids
• Napoleon's theorem and generalizations through linear maps
• On the theorem of Napoleon and related topics
• Bicentennial of the Great Poncelet Theorem (1813–2013): Current advances
• Extriangles and Excevians
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