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
Received 23 May 2005; Revised 23 September 2005

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.