The plasticity of some mass transportation networks in the three dimensional Euclidean Space

zbMath1448.51004arXiv1704.07473MaRDI QIDQ3303389

Anastasios N. Zachos

Publication date: 11 August 2020

Full work available at URL: https://arxiv.org/abs/1704.07473

zbMATH Keywords

tetrahedraFermat-Torricelli probleminverse Fermat-Torricelli problemplasticity of closed hexahedraplasticity of quadrilaterals

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Steiner systems in finite geometry (51E10) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (2)

The Plasticity of Fittable Cones for a Given Quadruple of Points on the Surface of a Unit 2-sphere ⋮ An evolutionary design of weighted minimum networks for four points in the three-dimensional Euclidean space

Cites Work

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• The weighted Fermat-Torricelli problem for tetrahedra and an ``inverse problem
• Geometric methods and optimization problems
• A plasticity principle of closed hexahedra in the three-dimensional Euclidean space
• A plasticity principle of convex quadrilaterals on a convex surface of bounded specific curvature
• Analytical Solution for the Generalized Fermat–Torricelli Problem
• The Fermat-Steiner Problem
• Steiner Minimal Trees

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