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Is there a survey anywhere of space-filling polyhedra? MathWorld's article, space-filling polyhedron, mentions about 400 being seen in pre-1981 books and papers. Wikipedia mentions 28 convex uniform honeycombs, and the article honeycomb.

Is there a modern count anywhere for how many space-filling hexahedra or icosahedra exist? Can the 3D coordinates be downloaded?

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    In 2D, for n-gons 3-6, there are 1,1,14,3 families of tiling polygons, according to Grunbaum. In 3D, 3-12, there are 5,?,27,56,49,?,?,40,16 types of space-filling polyhedra, according to MathWorld. For example, there are 5 spacefilling tetrahedra.2011-07-07

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No. A full count only applies to simple cases with given constraints.

Regarding the space-filling tetrahedra please note that there is an infinite number of those. Among those who fill space by isometries, it is known that there are 9 topological families.

http://link.springer.com/article/10.1007%2FPL00009423#page-1

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    For tetrahedra, have you seen: Senechal, Marjorie. "Which tetrahedra fill space?." Mathematics Magazine (1981): 227-243.2014-07-19