A Fractal’s Lacunarity, and how it can be Tuned and Measured

作者: Benoit B. Mandelbrot

DOI: 10.1007/978-3-0348-8501-0_2

关键词:

摘要: The main exhibit in this paper is a stack of Cantor dusts that have identical fractal dimensions but differ violently from each other. Some look clearly fractal, while others to the unassisted eye as filled intervals (they are said be low lacunarity), and seem reduce end points hollowed interval high lacunarity). One several quantitative measures lacunarity put forward, impact fractals on modeling nature discussed.

参考文章(6)
Fereydoon Family, Tamás Vicsek, Dynamics of Fractal Surfaces WORLD SCIENTIFIC. ,(1991) , 10.1142/1452
Benoit B. Mandelbrot, Plane DLA is not self-similar; is it a fractal that becomes increasingly compact as it grows? Physica A-statistical Mechanics and Its Applications. ,vol. 191, pp. 95- 107 ,(1992) , 10.1016/0378-4371(92)90511-N
Yuval Gefen, Yigal Meir, Benoit B. Mandelbrot, Amnon Aharony, Geometric Implementation of Hypercubic Lattices with Noninteger Dimensionality by Use of Low Lacunarity Fractal Lattices Physical Review Letters. ,vol. 50, pp. 145- 148 ,(1983) , 10.1103/PHYSREVLETT.50.145
Benoit B. Mandelbrot, The Fractal Geometry of Nature ,(1982)
Phillip James Edwin Peebles, Principles of Physical Cosmology ,(1993)
Paul H. Coleman, Luciano Pietronero, The fractal structure of the universe Physics Reports. ,vol. 213, pp. 311- 389 ,(1992) , 10.1016/0370-1573(92)90112-D