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."
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1993
|
| Series: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC
1993,25 |
| Subjects: | |
| Summary: | 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." |
| Physical Description: | 21 S. graph. Darst. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV009294098 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 940329s1993 d||| |||| 00||| engod | ||
| 016 | 7 | |a 940599431 |2 DE-101 | |
| 035 | |a (OCoLC)32423596 | ||
| 035 | |a (DE-599)BVBBV009294098 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 | ||
| 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 | ||
Record in the Search Index
| _version_ | 1804123734461644800 |
|---|---|
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01414nam a2200313 cb4500</leader><controlfield tag="001">BV009294098</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940329s1993 d||| |||| 00||| engod</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">940599431</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)32423596</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009294098</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Richter-Gebert, Jürgen</subfield><subfield code="d">1963-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)111407346</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Zonotopal tilings and the Bohne-Dress theorem</subfield><subfield code="c">Jürgen Richter-Gebert ; Günter M. Ziegler</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Konrad-Zuse-Zentrum für Informationstechnik</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">21 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC</subfield><subfield code="v">1993,25</subfield></datafield><datafield tag="520" ind1="3" ind2=" "><subfield code="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."</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Computational geometry</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ziegler, Günter M.</subfield><subfield code="d">1963-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121062155</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Preprint SC</subfield><subfield code="v">1993,25</subfield><subfield code="w">(DE-604)BV004801715</subfield><subfield code="9">1993,25</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-006184455</subfield></datafield></record></collection> |
| 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 |