E. S. FEDOROV'S ALGORITHM OF THE GENERATION OF THE COMBINATORIAL DIVERSITY OF CONVEX POLYHEDRA: THE LATEST RESULTS AND APPLICATIONS

被引：4

作者：

Voytekhovsky, Yu L. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Geol, Kola Sci Ctr, Apatity, Russia

来源：

JOURNAL OF STRUCTURAL CHEMISTRY | 2014年 / 55卷 / 07期

关键词：

convex polyhedron; combinatorial type; Fedorov's algorithm; point symmetry group; crystallographic and non-crystallographic symmetry groups; combinatorially asymmetric polyhedra; Schlegel projection; systematic and nomenclature of convex polyhedra; SYMMETRY; FULLERENES;

D O I：

10.1134/S0022476614070129

中图分类号：

O61 [无机化学];

学科分类号：

070301 ; 081704 ;

摘要：

E. S. Fedorov's algorithm allowing us to obtain the full combinatorial diversity of convex polyhedra from the tetrahedron is considered in the paper. The latest results on the number of combinatorially different convex n-hedra for the given n and their point symmetry groups are presented. Possible applications of the results are shown. The problems are formulated, which can be solved at present only by means of powerful computers.

引用

页码：1293 / 1307

页数：15

共 18 条

[1] E. S. Fedorov’s algorithm of the generation of the combinatorial diversity of convex polyhedra: The latest results and applications
Yu. L. Voytekhovsky
[J]. Journal of Structural Chemistry, 2014, 55 : 1293 - 1307
[2] E. S. Fedorov Promoting the Russian-German Scientific Interrelationship
Paufler, Peter
Filatov, Stanislav K.
[J]. MINERALS, 2020, 10 (02)
[3] Study of the Northern Urals in the Documentary Heritage of Academician E. S. Fedorov
Filippova, Tatyana P.
[J]. HERALD OF AN ARCHIVIST, 2022, (04): : 1056 - 1059
[4] Genetic diversity of S. equi ssp zooepidemicus and E. coli isolated from the reproductive tract of the mare
Bindslev, M. M.
Villumsen, M. H.
Petersen, M. M.
Nielsen, J. M.
Bogh, I. B.
Bojesen, A. M.
[J]. REPRODUCTION IN DOMESTIC ANIMALS, 2008, 43 : 110 - 111
[5] Isothermal micro calorimetry – a new method for MIC determinations: results for 12 antibiotics and reference strains of E. coli and S. aureus
Ueli von Ah
Dieter Wirz
AU Daniels
[J]. BMC Microbiology, 9
[6] Isothermal micro calorimetry - a new method for MIC determinations: results for 12 antibiotics and reference strains of E. coli and S. aureus
von Ah, Ueli
Wirz, Dieter
Daniels, Au
[J]. BMC MICROBIOLOGY, 2009, 9
[7] Comment on "$ per W metrics for thermoelectric power generation: beyond ZT" by S. K. Yee, S. LeBlanc, K. E. Goodson and C. Dames, Energy Environ. Sci., 2013, 6, 2561
Nunes, G., Jr.
[J]. ENERGY & ENVIRONMENTAL SCIENCE, 2014, 7 (10) : 3439 - 3440
[8] Closure to "New Results for an Approximate Method for Calculating Two-Dimensional Furrow Infiltration" by E. Bautista, A. W. Warrick, and T. S. Strelkoff
Bautista, E.
Warrick, A. W.
[J]. JOURNAL OF IRRIGATION AND DRAINAGE ENGINEERING, 2015, 141 (12)
[9] Discussion of "New Results for an Approximate Method for Calculating Two-Dimensional Furrow Infiltration" by E. Bautista, A. W. Warrick, and T. S. Strelkoff
Ebrahimian, Hamed
Noory, Hamideh
[J]. JOURNAL OF IRRIGATION AND DRAINAGE ENGINEERING, 2015, 141 (12)
[10] Report on the Scientific Results of the Voyage of SY "Scotia" during the years 1902, 1903, and 1904, under the Leadership of William S. Bruce, L L. D., F. R. S. E., vol 4 Zoology - Vertebrates
不详
[J]. GEOGRAPHICAL JOURNAL, 1916, 47 (05): : 378 - 379

← 1 2 →