The Plasticity of Fittable Cones for a Given Quadruple of Points on the Surface of a Unit 2-sphere

DOI10.15407/mag18.04.611OpenAlexW4321267855MaRDI QIDQ6182235

Anastasios N. Zachos

Publication date: 23 January 2024

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag18.04.611

zbMATH Keywords

spheregeodesic trianglecircular coneweighted Fermat-Torricelli tree

Mathematics Subject Classification ID

Steiner systems in finite geometry (51E10) Surfaces in Euclidean and related spaces (53A05) General theory of distance geometry (51K05) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Cites Work

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• Exact location of the weighted Fermat-Torricelli point on flat surfaces of revolution
• An analytical solution of the weighted Fermat-Torricelli problem on a unit sphere
• Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities)
• Metrics of constant curvature 1 with three conical singularities on the 2-sphere
• Analytic deformations of minimal networks
• A plasticity principle of convex quadrilaterals on a convex surface of bounded specific curvature
• Analytical Solution for the Generalized Fermat–Torricelli Problem
• The plasticity of some mass transportation networks in the three dimensional Euclidean Space
• The Plasticity of Some Fittable Surfaces on a Given Quadruple of Points in the Three-Dimensional Euclidean Space

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