Tiling Three-space by Combinatorially Equivalent Convex Polytopes
نویسنده
چکیده
The paper settles a problem of Danzer, Griinbaum, and Shephard on tilings by convex polytopes. We prove that, for a given three-dimensional convex polytope P, there is a locally finite tiling of the Euclidean three-space by convex polytopes each combinatorially equivalent to P. In general, face-to-face tilings will not exist.
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تاریخ انتشار 1984