SPACE FILLING TILING BY RANDOM PACKING OF DISKS

被引:14
作者
MANNA, SS [1 ]
机构
[1] YALE UNIV, DEPT MATH, NEW HAVEN, CT 06520 USA
关键词
D O I
10.1016/0378-4371(92)90001-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study here a space filling tiling generated by random non-overlapping packing of discs. To place the nth disc we randomly choose a point in the empty pore space of the n - 1 discs and place a disc with the centre at this point and touching the nearest disc. We measure the fractal dimension of the pore space left in the asymptotic limit for these space filling patterns.
引用
收藏
页码:373 / 377
页数:5
相关论文
共 12 条
[1]   RESIDUAL SET DIMENSION OF APOLLONIAN PACKING [J].
BOYD, DW .
MATHEMATIKA, 1973, 20 (40) :170-174
[2]  
DHAR D, 1992, COMMUNICATION
[3]   SPACE-FILLING BEARINGS [J].
HERRMANN, HJ ;
MANTICA, G ;
BESSIS, D .
PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3223-3226
[4]  
HERRMANN HJ, 1990, NATO ADV SCI I E-APP, V188, P108
[5]  
HERRMANN HJ, 1991, SCIENCE, V165, P17
[6]  
LOMNITZ C, 1982, B SEISMOL SOC AM, V72, P1441
[7]  
Mandelbrot B. B., 1982, FRACTAL GEOMETRY NAT, P1
[8]   PRECISE DETERMINATION OF THE FRACTAL DIMENSIONS OF APOLLONIAN PACKING AND SPACE-FILLING BEARINGS [J].
MANNA, SS ;
HERRMANN, HJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (09) :L481-L490
[9]   MULTIFRACTALITY OF SPACE-FILLING BEARINGS AND APOLLONIAN PACKINGS [J].
MANNA, SS ;
VICSEK, T .
JOURNAL OF STATISTICAL PHYSICS, 1991, 64 (3-4) :525-539
[10]  
MCCANN W, 1982, PAGEOPH, V117, P1082