On a combinatorial problem concerning subpolytopes of stack polytopes |
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Authors: | Magelone Kömhoff |
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Affiliation: | (1) Mathematisches Institut der Universität Freiburg, Hebelstraße 29, 7800 Freiburg, W. Germany |
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Abstract: | Shephard [6] posed the problem of whether every combinatorial type of d-polytope can be represented by some subpolytope of some d-stack. Here we show that, at least in the case d=3, the answer to that problem is in the affirmative.I am indebted to Professor G.C. Shephard for reading a preliminary version of this note and making suggestions for its improvement. |
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