Space-filling polyhedron

A space-filling polyhedron is a polyhedron that can be used to fill all of three-dimensional space via translations, rotations and/or reflections. Any periodic tiling or honeycomb of three-space can in fact be generated by translating a primitive cell polyhedron.


  • Space-Filling Polyhedron, MathWorld
  • Arthur L. Loeb (1991). "Space-filling Polyhedra". Space Structures. Boston, MA: Birkhäuser. pp. 127–132. doi:10.1007/978-1-4612-0437-4_16. ISBN 978-1-4612-0437-4.

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.