Zonotopal tilings and the Bohne-Dress theorem:
Abstract: "We prove a natural bijection between the polytopal tilings of a zonotope Z by zonotopes, and the one-element-liftings of the oriented matroid M(Z) associated with Z. This yields a simple proof and a strengthening of the Bohne-Dress Theorem on zonotopal tilings."
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1993
|
| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1993,25 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "We prove a natural bijection between the polytopal tilings of a zonotope Z by zonotopes, and the one-element-liftings of the oriented matroid M(Z) associated with Z. This yields a simple proof and a strengthening of the Bohne-Dress Theorem on zonotopal tilings." |
| Beschreibung: | 21 S. graph. Darst. |
Internformat
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| 100 | 1 | |a Richter-Gebert, Jürgen |d 1963- |e Verfasser |0 (DE-588)111407346 |4 aut | |
| 245 | 1 | 0 | |a Zonotopal tilings and the Bohne-Dress theorem |c Jürgen Richter-Gebert ; Günter M. Ziegler |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1993 | |
| 300 | |a 21 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1993,25 | |
| 520 | 3 | |a Abstract: "We prove a natural bijection between the polytopal tilings of a zonotope Z by zonotopes, and the one-element-liftings of the oriented matroid M(Z) associated with Z. This yields a simple proof and a strengthening of the Bohne-Dress Theorem on zonotopal tilings." | |
| 650 | 4 | |a Computational geometry | |
| 700 | 1 | |a Ziegler, Günter M. |d 1963- |e Verfasser |0 (DE-588)121062155 |4 aut | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |v 1993,25 |w (DE-604)BV004801715 |9 1993,25 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006184455 | ||
Datensatz im Suchindex
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| any_adam_object | |
| author | Richter-Gebert, Jürgen 1963- Ziegler, Günter M. 1963- |
| author_GND | (DE-588)111407346 (DE-588)121062155 |
| author_facet | Richter-Gebert, Jürgen 1963- Ziegler, Günter M. 1963- |
| author_role | aut aut |
| author_sort | Richter-Gebert, Jürgen 1963- |
| author_variant | j r g jrg g m z gm gmz |
| building | Verbundindex |
| bvnumber | BV009294098 |
| ctrlnum | (OCoLC)32423596 (DE-599)BVBBV009294098 |
| format | Book |
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| id | DE-604.BV009294098 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:34:29Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006184455 |
| oclc_num | 32423596 |
| open_access_boolean | |
| owner | DE-12 |
| owner_facet | DE-12 |
| physical | 21 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC |
| spelling | Richter-Gebert, Jürgen 1963- Verfasser (DE-588)111407346 aut Zonotopal tilings and the Bohne-Dress theorem Jürgen Richter-Gebert ; Günter M. Ziegler Berlin Konrad-Zuse-Zentrum für Informationstechnik 1993 21 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1993,25 Abstract: "We prove a natural bijection between the polytopal tilings of a zonotope Z by zonotopes, and the one-element-liftings of the oriented matroid M(Z) associated with Z. This yields a simple proof and a strengthening of the Bohne-Dress Theorem on zonotopal tilings." Computational geometry Ziegler, Günter M. 1963- Verfasser (DE-588)121062155 aut Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC 1993,25 (DE-604)BV004801715 1993,25 |
| spellingShingle | Richter-Gebert, Jürgen 1963- Ziegler, Günter M. 1963- Zonotopal tilings and the Bohne-Dress theorem Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC Computational geometry |
| title | Zonotopal tilings and the Bohne-Dress theorem |
| title_auth | Zonotopal tilings and the Bohne-Dress theorem |
| title_exact_search | Zonotopal tilings and the Bohne-Dress theorem |
| title_full | Zonotopal tilings and the Bohne-Dress theorem Jürgen Richter-Gebert ; Günter M. Ziegler |
| title_fullStr | Zonotopal tilings and the Bohne-Dress theorem Jürgen Richter-Gebert ; Günter M. Ziegler |
| title_full_unstemmed | Zonotopal tilings and the Bohne-Dress theorem Jürgen Richter-Gebert ; Günter M. Ziegler |
| title_short | Zonotopal tilings and the Bohne-Dress theorem |
| title_sort | zonotopal tilings and the bohne dress theorem |
| topic | Computational geometry |
| topic_facet | Computational geometry |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT richtergebertjurgen zonotopaltilingsandthebohnedresstheorem AT zieglergunterm zonotopaltilingsandthebohnedresstheorem |