Scale-isometric polytopal graphs in hypercubes and cubic lattices: polytopes in hypercubes and Z n
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
2004
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 175 S. graph. Darst. |
| ISBN: | 1860944213 |
Internformat
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Datensatz im Suchindex
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| adam_text | SCALE-ISOMETRIC POLYTOPAL GRAPHS IN HYPERCUBES AND CUBIC LATTICES . *
;A: S, X POLYTOPES IN HYPERCUBES AND Z M *IHISSJSLH I MICHEL DEZA ECOLE
NORMALE SUPERIEURE & CNRS, PARIS, FRANCE VIATCHESLAV GRISHUKHIN CENTRAL
INSTITUTE OF MATHEMATICAL ECONOMICS, MOSCOTV, RUSSIA MIKHAIL SHTOGRIN
STEKLOV MATHEMATICAL INSTITUTE, MOSCOW, RUSSIA L- IMPERIAL COLLEGE
PRESS CONTENTS PREFACE V 1. INTRODUCTION: GRAPHS AND THEIR
SCALE-ISOMETRIC EMBEDDING 1 1.1 GRAPHS 1 1.2 EMBEDDINGS OF GRAPHS 3 1.3
EMBEDDING OF PLANE GRAPHS 10 1.4 TYPES OF REGULARITY OF POLYTOPES AND
TILINGS 14 1.5 OPERATIONS ON POLYTOPES 17 1.6 VORONOI AND DELAUNAY
PARTITIONS 18 1.7 INFINITE GRAPHS 19 2. AN EXAMPLE: EMBEDDING OF
FULLERENES 25 2.1 EMBEDDABILITY OF FULLERENES AND THEIR DUALS 26 2.2
INFINITE FAMILIES OF NON-^I FULLERENES 30 2.3 KATSURA MODEL FOR VESICLES
CELLS VERSUS EMBEDDABLE DUAL FULLERENES 30 3. REGULAER TILINGS AND
HONEYCOMBS 35 3.1 REGULAER TILINGS AND HONEYCOMBS 35 3.2 THE PLANAR CASE
36 3.3 STAR-HONEYCOMBS 40 3.4 THE CASE OF DIMENSION D 3 40 4.
SEMI-REGULAR POLYHEDRA AND RELATIVES OF PRISMS AND ANTIPRISMS 43 4.1
SEMI-REGULAR POLYHEDRA 43 4.2 MOSCOW, GLOBE AND WEB GRAPHS 45 VII VIII
SCALE ISOMETRIC POLYTOPAL GRAPHS 4.3 STELLATED A;-GONS, CUPOLAS AND
ANTIWEBS 48 4.4 CAPPED ANTIPRISMS AND COLUMNS OF ANTIPRISMS 50 5.
TRUNCATION, CAPPING AND CHAMFERING 53 5.1 TRUNCATIONS OF REGULAER
PARTITIONS 53 5.2 PARTIAL TRUNCATIONS AND CAPPINGS OF PIATONIC SOLIDS
.... 54 5.3 CHAMFERING OF PIATONIC SOLIDS 59 6. 92 REGULAR-FACED (NOT
SEMI-REGULAR) POLYHEDRA 63 7. SEMI-REGULAR AND REGULAR-FACED
N-POLYTOPES, N 4 71 7.1 SEMI-REGULAR (NOT REGULAER) N-POLYTOPES 71 7.2
REGULAR-FACED (NOT SEMI-REGULAR) N-POLYTOPES 72 7.3 ARCHIMEDEAN
4-POLYTOPES 72 7.4 THE EMBEDDING OF THE SNUB 24-CELL 73 8. POLYCYCLES
AND OTHER CHEMICALLY RELEVANT GRAPHS 75 8.1 (R,T^-POLYCYCLES 75 8.2
QUASI-(R, 3)-POLYCYCLES 77 8.3 COORDINATION POLYHEDRA AND
METALLOPOLYHEDRA 80 9. PLANE TILINGS 83 9.1 58 EMBEDDABLE MOSAICS 83 9.2
OTHER SPECIAL PLANE TILINGS 87 9.3 FACE-REGULAR BIFACED PLANE TILINGS 89
10. UNIFORM PARTITIONS OF 3-SPACE AND RELATIVES 99 10.1 28 UNIFORM
PARTITIONS 100 10.2 OTHER SPECIAL PARTITIONS 103 11. LATTICES,
BI-LATTICES AND TILES 107 11.1 IRREDUCIBLE ROOT LATTICES 107 11.2 THE
CASE OF DIMENSION 3 108 11.3 DICINGS 110 11.4 POLYTOPAL TILES OF LATTICE
PARTITIONS 111 12. SMALL POLYHEDRA 115 12.1 POLYHEDRA WITH AT MOST SEVEN
FACES 115 CONTENTS IX 12.2 SIMPLE POLYHEDRA WITH AT MOST EIGHT FACES 116
13. BIFACED POLYHEDRA 119 13.1 GOLDBERG S MEDIAL POLYHEDRA 120 13.2
FACE-REGULAR BIFACED POLYHEDRA 123 13.3 CONSTRUCTIONS OF BIFACED
POLYHEDRA 125 13.4 POLYHEDRA 3 N AND 4* 126 13.5 POLYHEDRA 5 N
(FULLERENES) REVISITED 129 13.6 POLYHEDRA OC N (OCTAHEDRITES) 129 14.
SPECIAL ^I-GRAPHS 137 14.1 EQUICUT I-GRAPHS 137 14.2 SCALE ONE
EMBEDDING 145 15. SOME GENERALIZATION OF I-EMBEDDING 153 15.1
QUASI-EMBEDDING 153 15.2 LIPSCHITZ EMBEDDING 157 15.3 POLYTOPAL
HYPERMETRICS 157 15.4 SIMPLICIAL N-MANIFOLDS 160 BIBLIOGRAPHY 163 INDEX
171
|
| any_adam_object | 1 |
| author | Deza, Michel 1939- |
| author_GND | (DE-588)118064495 |
| author_facet | Deza, Michel 1939- |
| author_role | aut |
| author_sort | Deza, Michel 1939- |
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| building | Verbundindex |
| bvnumber | BV025354365 |
| classification_rvk | SK 890 |
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| dewey-full | 511.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.5 |
| dewey-search | 511.5 |
| dewey-sort | 3511.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T22:31:43Z |
| institution | BVB |
| isbn | 1860944213 |
| language | English |
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| physical | XI, 175 S. graph. Darst. |
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| spelling | Deza, Michel 1939- Verfasser (DE-588)118064495 aut Scale-isometric polytopal graphs in hypercubes and cubic lattices polytopes in hypercubes and Z n Michel Deza ; Viatcheslav Grishukhin ; Mikhail Shtogrin London Imperial College Press 2004 XI, 175 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Polytop (DE-588)4175324-0 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Polytop (DE-588)4175324-0 s DE-604 Graphentheorie (DE-588)4113782-6 s Grišuchin, Vjačeslav P. Sonstige oth Štogrin, Michail I. Sonstige oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019981535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Deza, Michel 1939- Scale-isometric polytopal graphs in hypercubes and cubic lattices polytopes in hypercubes and Z n Polytop (DE-588)4175324-0 gnd Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4175324-0 (DE-588)4113782-6 |
| title | Scale-isometric polytopal graphs in hypercubes and cubic lattices polytopes in hypercubes and Z n |
| title_auth | Scale-isometric polytopal graphs in hypercubes and cubic lattices polytopes in hypercubes and Z n |
| title_exact_search | Scale-isometric polytopal graphs in hypercubes and cubic lattices polytopes in hypercubes and Z n |
| title_full | Scale-isometric polytopal graphs in hypercubes and cubic lattices polytopes in hypercubes and Z n Michel Deza ; Viatcheslav Grishukhin ; Mikhail Shtogrin |
| title_fullStr | Scale-isometric polytopal graphs in hypercubes and cubic lattices polytopes in hypercubes and Z n Michel Deza ; Viatcheslav Grishukhin ; Mikhail Shtogrin |
| title_full_unstemmed | Scale-isometric polytopal graphs in hypercubes and cubic lattices polytopes in hypercubes and Z n 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 z n |
| title_sub | polytopes in hypercubes and Z n |
| topic | Polytop (DE-588)4175324-0 gnd Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Polytop Graphentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019981535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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