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.

References
  • 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.


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