The existence of non-tiles and non-facets in three dimensions

Author:

Schulte Egon

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference15 articles.

1. Preassigning the shape of a face;Barnette;Pacific J. Math.,1970

2. Regular Polytopes;Coxeter,1973

3. Does every type of polyhedron tile three-space?;Danzer;Structural Topology,1983

4. Reguläre Figuren;Fejes Toth,1965

5. On the space-filling hexahedra;Goldberg;Geom. Dedicata,1977

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1. Combinatorially Two-Orbit Convex Polytopes;Discrete & Computational Geometry;2015-12-17

2. Distributions with Slow Tails and Ergodicity of Markov Semigroups in Infinite Dimensions;International Mathematical Series;2009-11-18

3. A new simple tiling, with unusual properties, by a polyhedron with 14 faces;Acta Crystallographica Section A Foundations of Crystallography;2008-04-18

4. Equifacetted 3-spheres as topes of nonpolytopal matroid polytopes;Discrete & Computational Geometry;1995-06

5. A Hierarchical Classification of Euclidean Polytopes with Regularity Properties;Polytopes: Abstract, Convex and Computational;1994

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