On the equipartition of plane convex bodies and convex polygons

DOI10.1007/s00022-005-0006-0zbMath1089.52004OpenAlexW2055552544MaRDI QIDQ811820

Roser Guàrdia, Ferran Hurtado

Publication date: 23 January 2006

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-005-0006-0

zbMATH Keywords

convex polygonconvex bodyequipartitionchordplane

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Combinatorial complexity of geometric structures (52C45)

Related Items (9)

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 ⋮ Extreme area and perimeter bisectors in a triangle ⋮ Cutting polygons into small pieces with chords: Laser-based localization ⋮ Uneven splitting of ham sandwiches ⋮ The classification of convex polygons with triangular area or perimeter bisecting deltoids

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