IJPAM: Volume 39, No. 1 (2007)
MAPPINGS WHICH PRESERVE
REGULAR ICOSAHEDRONS
REGULAR ICOSAHEDRONS
Byungbae Kim
Section of Mathematics
College of Science and Technology
Hongik University
Chochiwon, 339-701, KOREA
e-mail: bkim@hongik.ac.kr
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
preserves regular icosahedrons, then 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