International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 21, Pages 3511-3515
doi:10.1155/IJMMS.2005.3511
Mappings preserving regular hexahedrons
Soon-Mo Jung
and Byungbae Kim
Mathematics Section, College of Science and Technology, Hong-Ik University, Chochiwon 339-701, Korea
Abstract
We will prove that if a one-to-one mapping f:ℝ3→ℝ3 preserves regular hexahedrons, then f is a linear isometry up to translation.