A new simple tiling, with unusual properties, by a polyhedron with 14 faces.(English)Zbl 1370.52059

Summary: A monotypic simple tiling by a 14-face polyhedron that does not admit an isohedral tiling is described. The tiling is triclinic and contains four distinct, but combinatorially equivalent, kinds of tile.

MSC:

 52C22 Tilings in $$n$$ dimensions (aspects of discrete geometry) 51M20 Polyhedra and polytopes; regular figures, division of spaces 82D25 Statistical mechanics of crystals

simple tiling
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