On the spatial Fourier transforms of the Pascal-Sierpinski gaskets
- 21 October 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (15) , 3147-3152
- https://doi.org/10.1088/0305-4470/19/15/035
Abstract
It has been shown here that the Fourier transform, which can be obtained experimentally, of an evolving fractal can be manipulated to yield the fractal dimension. Although only the Pascal-Sierpinski gaskets have been considered here, because of their generality, it is expected that this technique can be utilized to identify other planar fractals as well.Keywords
This publication has 3 references indexed in Scilit:
- On a new class of planar fractals: the Pascal-Sierpinski gasketsJournal of Physics A: General Physics, 1986
- A multivariate Weierstrass–Mandelbrot functionProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1985
- Critical spin-wave dynamics for two-dimensional Sierpinski-type fractalJournal of Physics A: General Physics, 1985