On the geometry of finite homogeneous subsets of Euclidean spaces
type: Item
instance of: scholarly article
title: On the geometry of finite homogeneous subsets of Euclidean spaces
zbMATH Open document ID: 1548.52003
DOI: 10.1007/978-3-031-43510-2_10
author: V. N. Berestovskij
author: Yurii G. Nikonorov
publication date: 2024-09-26T00:00:00Z
Mathematics Subject Classification ID: 52A07
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 52B15
Mathematics Subject Classification ID: 20B05
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 51M05
Mathematics Subject Classification ID: 52-02
zbMATH DE Number: 7918847
zbMATH Keywords: Archimedean solid
zbMATH Keywords: finite Clifford-Wolf homogeneous metric space
zbMATH Keywords: finite homogeneous metric space
zbMATH Keywords: finite normal homogeneous metric space
zbMATH Keywords: Gosset polytope
zbMATH Keywords: \(m\)-point homogeneous metric space
zbMATH Keywords: platonic solid
zbMATH Keywords: point homogeneous degree
zbMATH Keywords: regular polytope
zbMATH Keywords: semiregular polytope
MaRDI profile type: Publication
cites work: Solution of a Busemann problem
cites work: A metric characterization of Riemannian submersions
cites work: Q3545583
cites work: On \(\delta \)-homogeneous Riemannian manifolds
cites work: Clifford-Wolf homogeneous Riemannian manifolds
cites work: Generalized normal homogeneous Riemannian metrics on spheres and projective spaces
cites work: Finite homogeneous metric spaces
cites work: Riemannian Manifolds and Homogeneous Geodesics
cites work: Semiregular Gosset polytopes
cites work: О конечных однородных метрических пространствах
cites work: Geometry. I, II. Transl. from the French by M. Cole and S. Levy
cites work: Regular-faced convex polyhedra
cites work: Fully truncated simplices and their monodromy groups
cites work: Metric Foundations of Geometry. I
cites work: The semiregular polytopes
cites work: Q3675085
cites work: Q4747150
cites work: Spectra of graphs
cites work: Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8)
cites work: Groups of motions transitive on sets of geodesics
cites work: Q4661935
cites work: Q4797360
cites work: Wythoff's construction for uniform polytopes.
cites work: Integral Cayley numbers
cites work: Q4343008
cites work: Q5335830
cites work: The Geometry of an Equifacetal Simplex
cites work: The partition problem for equifacetal simplices
cites work: On the regular and semi-regular figures in space of \(n\) dimensions.
cites work: Q4434671
cites work: Hadamard matrices and their applications
cites work: Convex Polyhedra with Regular Faces
cites work: New maximal two-distance sets
cites work: Q4309956
cites work: Theorie der vielfachen Kontinuität. Hrsg. im Auftrage der Denkschriften-Kommission der schweizerischen naturforschenden Gesellschaft von J. H. Graf.
cites work: A short topological proof for the symmetry of 2 point homogeneous spaces
cites work: Two-point homogeneous quandles with prime cardinality
cites work: Q3228014
cites work: Sur un espace métrique universel. I, II.
cites work: Two theorems on metric spaces
cites work: Two-point homogeneous spaces
cites work: Q3062972
description: scientific article; zbMATH DE number 7918847