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.
Copyright © 2005 Soon-Mo Jung and Byungbae Kim. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.