THE DENSEST PACKING OF EQUAL CIRCLES ON A SPHERE

被引：64

作者：

KOTTWITZ, DA

机构：

来源：

ACTA CRYSTALLOGRAPHICA SECTION A | 1991年 / 47卷

关键词：

D O I：

10.1107/S0108767390011370

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Conjectured solutions of the packing problem are found by using 'exact' equations to refine approximations generated by the repulsion-energy method. Initial positions are selected randomly, and no symmetry constraints are imposed. Improved and new results are presented for many cases in the range of 15-90 circles. Several properties of the resulting structures are discussed with emphasis on symmetry and other characteristics useful for identification and comparison. A preliminary set of rules for producing a standard orientation of such structures is presented.

引用

页码：158 / 165

页数：8

共 20 条

[1] THE CLOSEST PACKING OF EQUAL CIRCLES ON A SPHERE
CLARE, BW
KEPERT, DL
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1986, 405 (1829): : 329 - 344
[2] PROBLEM OF PACKING A NUMBER OF EQUAL NONOVERLAPPING CIRCLES ON A SPHERE
COXETER, HSM
[J]. TRANSACTIONS OF THE NEW YORK ACADEMY OF SCIENCES, 1962, 24 (03) : 320 - +
[3] DANZER L, 1963, DISCRETE MATH, V60, P3
[4] Fejes Toth L., 1964, REGULAR FIGURES
[5] Lazic D. E., 1987, B APPL MATH, V47, P7
[6] Leech J., 1957, MATH GAZ, V41, P81
[7] CLOSEST PACKING OF EQUAL SPHERES ON A SPHERICAL SURFACE
MACKAY, AL
FINNEY, JL
GOTOH, K
[J]. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 1977, 33 (JAN1): : 98 - 100
[8] EXTREMAL ARRANGEMENTS OF POINTS AND UNIT CHARGES ON A SPHERE - EQUILIBRIUM CONFIGURATIONS REVISITED
MELNYK, TW
KNOP, O
SMITH, WR
[J]. CANADIAN JOURNAL OF CHEMISTRY, 1977, 55 (10) : 1745 - 1761
[9] ARRANGEMENT OF 24 POINTS ON A SPHERE
ROBINSON, RM
[J]. MATHEMATISCHE ANNALEN, 1961, 144 (01) : 17 - 48
[10] FINITE SETS OF POINTS ON A SPHERE WITH EACH NEAREST TO 5 OTHERS
ROBINSON, RM
[J]. MATHEMATISCHE ANNALEN, 1969, 179 (04) : 296 - &

← 1 2 →