The Pentagonal Pizza Conjecture

DOI10.1080/00029890.2022.2038005zbMath1487.52012OpenAlexW4224106461WikidataQ113853658 ScholiaQ113853658MaRDI QIDQ5075873

Allan Berele, Stefan Catoiu

Publication date: 12 May 2022

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

Full work available at URL: https://doi.org/10.1080/00029890.2022.2038005

zbMATH Keywords

pentagonal pizza conjecture

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Curves in Euclidean and related spaces (53A04) Euclidean analytic geometry (51N20)

Related Items (3)

Bisecting envelopes of convex polygons ⋮ Extreme area and perimeter bisectors in a triangle ⋮ Zindler Points of Triangles

Cites Work

• The perimeter sixpartite center of a triangle
• The classification of convex polygons with triangular area or perimeter bisecting deltoids
• Bisecting envelopes of convex polygons
• Area computation for triangular area or perimeter bisecting deltoids
• The Fermat-Torricelli theorem in convex geometry
• Nonuniqueness of Sixpartite Points
• The Centroid as a Nontrivial Area Bisecting Center of a Triangle
• Bisecting the Perimeter of a Triangle
• Halving a Triangle
• On An Invariant of Plane Regions and Mass Distributions
• Zindler Points of Triangles
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