International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 14, Article ID 58479, 7 pages
doi:10.1155/IJMMS/2006/58479
Mappings which preserve regular dodecahedrons
Byungbae Kim
Mathematics Section, College of Science and Technology, Hong-Ik University, Chochiwon 339-701, South Korea
Abstract
We prove that if a one-to-one mapping f:ℝ3→ℝ3 preserves regular dodecahedrons, then f is a linear isometry up to translation.