| Description |
1 online resource (ix, 175 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Note |
On t.p. "n̳" is subscript. |
| Bibliography |
Includes bibliographical references (pages 163-169) and index. |
| 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. |
| 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Graph theory.
|
|
Graph theory. |
|
Polytopes.
|
|
Polytopes. |
|
Metric spaces.
|
|
Metric spaces. |
|
Embeddings (Mathematics)
|
|
Embeddings (Mathematics) |
| Genre/Form |
Electronic books.
|
| Added Author |
Grishukhin, Viatcheslav.
|
|
Shtogrin, Mikhail.
|
| Other Form: |
Print version: Deza, M., 1934- Scale-isometric polytopal graphs in hypercubes and cubic lattices. London : Imperial College Press, ©2004 1860944213 (DLC) 2004445213 (OCoLC)55092432 |
| ISBN |
1423708881 (electronic book) |
|
9781423708889 (electronic book) |
|
1860945481 |
|
9781860945489 |
|
1860944213 |
|
