Mappings preserving regular hexahedrons

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.

Bibliographic Details
Main Authors: Soon-Mo Jung, Byungbae Kim
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.3511