Mappings which preserve regular dodecahedrons

DOI10.1155/IJMMS/2006/58479zbMath1133.51005OpenAlexW2156755942MaRDI QIDQ2469019

Byungbae Kim

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53891

zbMATH Keywords

isometryBeckman-Quarles theoremregular dodecahedronplatonic solid

Mathematics Subject Classification ID

General theory of distance geometry (51K05) Euclidean geometries (general) and generalizations (51M05)

Related Items (1)

The Paulus–Rozenfeld–Thompson Graph on 26 Vertices Revisited and Related Combinatorial Structures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eine Ergänzung zum Satz von Beckman und Quarles
• An elementary proof of the theorem of Beckman and Quarles
• Isometrien in normierten Räumen. (Isometries in normed spaces)
• Unit-circle-preserving mappings
• Is a Distance One Preserving Mapping between Metric Spaces Always an Isometry?
• On the Aleksandrov Problem of Conservative Distances
• Functions That Preserve Unit Distance
• On the Mazur-Ulam Theorem and the Aleksandrov Problem for Unit Distance Preserving Mappings
• Unit-sphere preserving mappings
• AN EFFICIENT LU FACTORIZATION FOR NON-SQUARE MATRICES
• Congruence-Preserving Mappings
• Characterizing Motions by Unit Distance Invariance
• On Isometries of Euclidean Spaces

This page was built for publication: Mappings which preserve regular dodecahedrons