IJPAM: Volume 39, No. 1 (2007)

MAPPINGS WHICH PRESERVE
REGULAR ICOSAHEDRONS

Byungbae Kim
Section of Mathematics
College of Science and Technology
Hongik University
Chochiwon, 339-701, KOREA
e-mail: bkim@hongik.ac.kr


Abstract.In this paper, we prove that if a one-to-one mapping $f : \R^3 \to \R^3$ preserves regular icosahedrons, then $f$ is a linear isometry up to translation.

Received: May 2, 2007

AMS Subject Classification: 51K05

Key Words and Phrases: isometry, icosahedron, icosahedron preserving mapping

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 1