Tiling Space by Platonic Solids, I

نویسندگان

  • Olaf Delgado-Friedrichs
  • Daniel H. Huson
چکیده

There exist precisely 914, 58 and 46 equivariant types of tile-transitive tilings of 3-dimensional euclidean space by topological cubes, oc-tahedra and tetrahedra, that fall into 11, 3, and 9 topological families, respectively. Representatives are described for all topological families. A general method for obtaining results of this kind is introduced.

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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 21  شماره 

صفحات  -

تاریخ انتشار 1999