Zonotopal Tilings and the Bohne-Dress Theorem.
Please always quote using this URN: urn:nbn:de:0297-zib-1212
- We prove a natural bijection between the polytopal tilings of a zonotope $Z$ by zonotopes, and the one-element-liftings of the oriented matroid ${\cal M}(Z)$ associated with $Z$. This yields a simple proof and a strengthening of the Bohne-Dress Theorem on zonotopal tilings.
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| Author: | Jürgen Richter-Gebert, Günter M. Ziegler |
|---|---|
| Document Type: | ZIB-Report |
| Date of first Publication: | 1993/10/11 |
| Series (Serial Number): | ZIB-Report (SC-93-25) |
| ZIB-Reportnumber: | SC-93-25 |
| Published in: | Appeared in: Proc. Jerusalem Combinatorics '93. H. Barcelo, G. Kalai (eds.) American Mathematical Society, 1994. (Contemporary Mathematics, 178), pp. 211-232 |
