Space-filling polyhedron
| Definition | a polyhedron that fill all of three-dimensional space via translations, rotations, or reflections |
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In geometry, a space-filling polyhedron is a polyhedron that can be used to fill all of three-dimensional space via translations, rotations and/or reflections, where filling means that; taken together, all the instances of the polyhedron constitute a partition of three-space. Any periodic tiling or honeycomb of three-space can, in fact, be generated by translating a primitive cell polyhedron.