Fractal structures derivable from the generalisations of the Pascal triangle

Akhlesh Lakhtakia, R. Messier, Vijay K. Varadan, V. V. Varadan

Type: Article

Publication Date: 1987-08-01

Citations: 6

DOI: https://doi.org/10.1088/0305-4470/20/11/011

View Publication

Locations

Journal of Physics A Mathematical and General - View

Similar Works

Action	Title	Year	Authors
+	Fractal sequences derived from the self-similar extensions of the Sierpinski gasket	1988	Akhlesh Lakhtakia R. Messier Vijay K. Varadan V. V. Varadan
+	On a new class of planar fractals: the Pascal-Sierpinski gaskets	1986	Neal S. Holter Akhlesh Lakhtakia Vijay K. Varadan V. V. Varadan R. Messier
+	Theory and application of Pascal-Sierpinski gasket fractals	1990	S.D. Bedrosian Xiao‐Guang Sun
+	On the Aesthetics of Sierpinski Gaskets Formed from Large Pascal's Triangles	1990	Clifford A Pickover
+	Generalisations and randomisation of the plane Koch curve	1987	Akhlesh Lakhtakia Vijay K. Varadan R. Messier V. V. Varadan
+	On the spatial Fourier transforms of the Pascal-Sierpinski gaskets	1986	Akhlesh Lakhtakia Neal S. Holter
+	Elementary fractal geometry. New relatives of the Sierpiński gasket	2018	Christoph Bandt Dmitry Mekhontsev
+	Self-similarity versus self-affinity: the Sierpinski gasket revisited	1986	Akhlesh Lakhtakia R. Messier V. V. Varadan Vijay K. Varadan
+	Fractals related to Pascal's triangle	1996	I. Calvo J. Mu�oz Masqu�
+	Regular fractals and self-similarity	2004
+	Regular fractals and self-similarity	1997
+	Self-similar fractals: An algorithmic point of view	2014	Qin Wang Lifeng Xi Kai Zhang
+ PDF Chat	Constructing Sierpinski Gasket Using GPUs Arrays	2014	Amira Bibo Sallow Dhuha Basheer Abdullah
+	Self-assembly of the Discrete Sierpinski Carpet and Related Fractals	2009	Steven M. Kautz James I. Lathrop
+	Self-assembly of the Discrete Sierpinski Carpet and Related Fractals	2009	M Kautz Steven I Lathrop James
+	Fractal model of the spheroidal graphite	1996	Zhiyang He K.Z. Hwang
+	Fractals	2000	Tomasz Kapitaniak
+	Fractals	1998	Tomasz Kapitaniak
+	Fractals	2003	Benoît B. Mandelbrot Michael Frame
+	Strictly self-similar fractals composed of star-polygons that are attractors of Iterated Function Systems	2015	Vassil Tzanov

Works That Cite This (3)

Action	Title	Year	Authors
+	The geometry of the binomial array modulo p2 and p3	1991	Marta Sved
+	Comment on "On the Aesthetics of Sierpinski Gaskets Formed from Large Pascal's Triangles"	1991	Akhlesh Lakhtakia
+	Fractal sequences derived from the self-similar extensions of the Sierpinski gasket	1988	Akhlesh Lakhtakia R. Messier Vijay K. Varadan V. V. Varadan

Works Cited by This (4)

Action	Title	Year	Authors
+	Self-Affine Fractals and Fractal Dimension	1985	Benoît B. Mandelbrot
+	On the spatial Fourier transforms of the Pascal-Sierpinski gaskets	1986	Akhlesh Lakhtakia Neal S. Holter
+	On a new class of planar fractals: the Pascal-Sierpinski gaskets	1986	Neal S. Holter Akhlesh Lakhtakia Vijay K. Varadan V. V. Varadan R. Messier
+	Self-similarity versus self-affinity: the Sierpinski gasket revisited	1986	Akhlesh Lakhtakia R. Messier V. V. Varadan Vijay K. Varadan