Nonuniqueness of Sixpartite Points

DOI10.1080/00029890.2018.1467191zbMath1395.52002OpenAlexW2885333441WikidataQ58170007 ScholiaQ58170007MaRDI QIDQ4577965

Stefan Catoiu, Allan Berele

Publication date: 6 August 2018

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

Full work available at URL: https://doi.org/10.1080/00029890.2018.1467191

zbMATH Keywords

area sixpartite pointperimeter sixpartite point

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (9)

Bisecting envelopes of convex polygons ⋮ Area computation for triangular area or perimeter bisecting deltoids ⋮ The Pentagonal Pizza Conjecture ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ The Centroid as a Nontrivial Area Bisecting Center of a Triangle ⋮ Extreme area and perimeter bisectors in a triangle ⋮ Bisecting the Perimeter of a Triangle ⋮ Zindler Points of Triangles ⋮ The classification of convex polygons with triangular area or perimeter bisecting deltoids

Cites Work

• On the equipartition of plane convex bodies and convex polygons
• The perimeter sixpartite center of a triangle
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