Scale-isometric polytopal graphs in hypercubes and cubic lattices :: polytopes in hypercubes and Zn̳ /
This monograph identifies polytopes that are "combinatorially l1-embeddable", within interesting lists of polytopal graphs, i.e. such that corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistr...
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| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
London :
Imperial College Press,
©2004.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | This monograph identifies polytopes that are "combinatorially l1-embeddable", within interesting lists of polytopal graphs, i.e. such that corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistry (fullerenes, polycycles, etc.). The embeddability, if any, provides applications to chemical graphs and, in the first case, it gives new combinatorial perspective to "l2-prominent" affine polytopal objects. The lists of polytopal graphs in the book come from broad areas of geometry, crystallography and graph. |
| Item Description: | On t.p. "n̳" is subscript. |
| Physical Description: | 1 online resource (ix, 175 pages :) |
| Bibliography: | Includes bibliographical references (pages 163-169) and index. |
| ISBN: | 1423708881 9781423708889 1860945481 9781860945489 9781860944215 1860944213 |
Staff View
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| 505 | 0 | |a Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes and Zn; Preface; Contents; 1. Introduction: Graphs and their Scale-isometric Embedding; 2. An Example: Embedding of Fullerenes; 3. Regular Tilings and Honeycombs; 4. Semi-regular Polyhedra and Relatives of Prisms and Antiprisms; 5. Truncation, Capping and Chamfering; 6. 92 Regular-faced (not Semi-regular) Polyhedra; 7. Semi-regular and Regular-faced n-polytopes, n 4; 8. Polycycles and Other Chemically Relevant Graphs; 9. Plane Tilings; 10. Uniform Partitions of 3-space and Relatives. | |
| 520 | |a This monograph identifies polytopes that are "combinatorially l1-embeddable", within interesting lists of polytopal graphs, i.e. such that corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistry (fullerenes, polycycles, etc.). The embeddability, if any, provides applications to chemical graphs and, in the first case, it gives new combinatorial perspective to "l2-prominent" affine polytopal objects. The lists of polytopal graphs in the book come from broad areas of geometry, crystallography and graph. | ||
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| author | Deza, M., 1939- |
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| contents | Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes and Zn; Preface; Contents; 1. Introduction: Graphs and their Scale-isometric Embedding; 2. An Example: Embedding of Fullerenes; 3. Regular Tilings and Honeycombs; 4. Semi-regular Polyhedra and Relatives of Prisms and Antiprisms; 5. Truncation, Capping and Chamfering; 6. 92 Regular-faced (not Semi-regular) Polyhedra; 7. Semi-regular and Regular-faced n-polytopes, n 4; 8. Polycycles and Other Chemically Relevant Graphs; 9. Plane Tilings; 10. Uniform Partitions of 3-space and Relatives. |
| ctrlnum | (OCoLC)60690987 |
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| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.5 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | Elecytonic books. Electronic books. |
| genre_facet | Elecytonic books. Electronic books. |
| id | ZDB-4-EBA-ocm60690987 |
| illustrated | Illustrated |
| indexdate | 2025-03-18T14:14:03Z |
| institution | BVB |
| isbn | 1423708881 9781423708889 1860945481 9781860945489 9781860944215 1860944213 |
| language | English |
| lccn | 2004445213 |
| oclc_num | 60690987 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 175 pages :) |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Imperial College Press, |
| record_format | marc |
| spelling | Deza, M., 1939- http://id.loc.gov/authorities/names/n85202710 Scale-isometric polytopal graphs in hypercubes and cubic lattices : polytopes in hypercubes and Zn̳ / Michel Deza, Viatcheslav Grishukhin, Mikhail Shtogrin. London : Imperial College Press, ©2004. 1 online resource (ix, 175 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda On t.p. "n̳" is subscript. Includes bibliographical references (pages 163-169) and index. Print version record. Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes and Zn; Preface; Contents; 1. Introduction: Graphs and their Scale-isometric Embedding; 2. An Example: Embedding of Fullerenes; 3. Regular Tilings and Honeycombs; 4. Semi-regular Polyhedra and Relatives of Prisms and Antiprisms; 5. Truncation, Capping and Chamfering; 6. 92 Regular-faced (not Semi-regular) Polyhedra; 7. Semi-regular and Regular-faced n-polytopes, n 4; 8. Polycycles and Other Chemically Relevant Graphs; 9. Plane Tilings; 10. Uniform Partitions of 3-space and Relatives. This monograph identifies polytopes that are "combinatorially l1-embeddable", within interesting lists of polytopal graphs, i.e. such that corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistry (fullerenes, polycycles, etc.). The embeddability, if any, provides applications to chemical graphs and, in the first case, it gives new combinatorial perspective to "l2-prominent" affine polytopal objects. The lists of polytopal graphs in the book come from broad areas of geometry, crystallography and graph. Graph theory. http://id.loc.gov/authorities/subjects/sh85056471 Polytopes. http://id.loc.gov/authorities/subjects/sh85104738 Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Embeddings (Mathematics) http://id.loc.gov/authorities/subjects/sh85042674 Polytopes. Espaces métriques. Plongements (Mathématiques) MATHEMATICS Graphic Methods. bisacsh Embeddings (Mathematics) fast Graph theory fast Metric spaces fast Polytopes fast Elecytonic books. Electronic books. Grishukhin, Viatcheslav. Shtogrin, Mikhail. has work: Scale-isometric polytopal graphs in hypercubes and cubic lattices (Text) https://id.oclc.org/worldcat/entity/E39PCFJ397Ck3M9wcB3fh3pmq3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Deza, M., 1934- Scale-isometric polytopal graphs in hypercubes and cubic lattices. London : Imperial College Press, ©2004 1860944213 (DLC) 2004445213 (OCoLC)55092432 |
| spellingShingle | Deza, M., 1939- Scale-isometric polytopal graphs in hypercubes and cubic lattices : polytopes in hypercubes and Zn̳ / Scale-Isometric Polytopal Graphs in Hypercubes and Cubic Lattices: Polytopes in Hypercubes and Zn; Preface; Contents; 1. Introduction: Graphs and their Scale-isometric Embedding; 2. An Example: Embedding of Fullerenes; 3. Regular Tilings and Honeycombs; 4. Semi-regular Polyhedra and Relatives of Prisms and Antiprisms; 5. Truncation, Capping and Chamfering; 6. 92 Regular-faced (not Semi-regular) Polyhedra; 7. Semi-regular and Regular-faced n-polytopes, n 4; 8. Polycycles and Other Chemically Relevant Graphs; 9. Plane Tilings; 10. Uniform Partitions of 3-space and Relatives. Graph theory. http://id.loc.gov/authorities/subjects/sh85056471 Polytopes. http://id.loc.gov/authorities/subjects/sh85104738 Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Embeddings (Mathematics) http://id.loc.gov/authorities/subjects/sh85042674 Polytopes. Espaces métriques. Plongements (Mathématiques) MATHEMATICS Graphic Methods. bisacsh Embeddings (Mathematics) fast Graph theory fast Metric spaces fast Polytopes fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85056471 http://id.loc.gov/authorities/subjects/sh85104738 http://id.loc.gov/authorities/subjects/sh85084441 http://id.loc.gov/authorities/subjects/sh85042674 |
| title | Scale-isometric polytopal graphs in hypercubes and cubic lattices : polytopes in hypercubes and Zn̳ / |
| title_auth | Scale-isometric polytopal graphs in hypercubes and cubic lattices : polytopes in hypercubes and Zn̳ / |
| title_exact_search | Scale-isometric polytopal graphs in hypercubes and cubic lattices : polytopes in hypercubes and Zn̳ / |
| title_full | Scale-isometric polytopal graphs in hypercubes and cubic lattices : polytopes in hypercubes and Zn̳ / Michel Deza, Viatcheslav Grishukhin, Mikhail Shtogrin. |
| title_fullStr | Scale-isometric polytopal graphs in hypercubes and cubic lattices : polytopes in hypercubes and Zn̳ / Michel Deza, Viatcheslav Grishukhin, Mikhail Shtogrin. |
| title_full_unstemmed | Scale-isometric polytopal graphs in hypercubes and cubic lattices : polytopes in hypercubes and Zn̳ / Michel Deza, Viatcheslav Grishukhin, Mikhail Shtogrin. |
| title_short | Scale-isometric polytopal graphs in hypercubes and cubic lattices : |
| title_sort | scale isometric polytopal graphs in hypercubes and cubic lattices polytopes in hypercubes and zn |
| title_sub | polytopes in hypercubes and Zn̳ / |
| topic | Graph theory. http://id.loc.gov/authorities/subjects/sh85056471 Polytopes. http://id.loc.gov/authorities/subjects/sh85104738 Metric spaces. http://id.loc.gov/authorities/subjects/sh85084441 Embeddings (Mathematics) http://id.loc.gov/authorities/subjects/sh85042674 Polytopes. Espaces métriques. Plongements (Mathématiques) MATHEMATICS Graphic Methods. bisacsh Embeddings (Mathematics) fast Graph theory fast Metric spaces fast Polytopes fast |
| topic_facet | Graph theory. Polytopes. Metric spaces. Embeddings (Mathematics) Espaces métriques. Plongements (Mathématiques) MATHEMATICS Graphic Methods. Graph theory Metric spaces Polytopes Elecytonic books. Electronic books. |
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