On a new class of planar fractals: The Pascal-Sierpinski gaskets

N. S. Holter; A. Lakhtakia; V. K. Varadan; V. V. Varadan; R. Messier

doi:10.1088/0305-4470/19/9/047

On a new class of planar fractals: The Pascal-Sierpinski gaskets

N. S. Holter, A. Lakhtakia, V. K. Varadan, V. V. Varadan, R. Messier

Research output: Contribution to journal › Review article › peer-review

23 Scopus citations

Abstract

A new class of planar fractals called the Pascal-Sierpinski gaskets is described, of which the well known Sierpinski gasket is a special case. Some of these gaskets are true Mandelbrot fractals possessing non-integral dimensions as well as self-similarity; the remaining ones are not self-similar, but appear to have nonintegral dimensions.

Original language	English (US)
Article number	047
Pages (from-to)	1753-1759
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	19
Issue number	9
DOIs	https://doi.org/10.1088/0305-4470/19/9/047
State	Published - Dec 1 1986

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/19/9/047

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abstract = "A new class of planar fractals called the Pascal-Sierpinski gaskets is described, of which the well known Sierpinski gasket is a special case. Some of these gaskets are true Mandelbrot fractals possessing non-integral dimensions as well as self-similarity; the remaining ones are not self-similar, but appear to have nonintegral dimensions.",

author = "Holter, {N. S.} and A. Lakhtakia and Varadan, {V. K.} and Varadan, {V. V.} and R. Messier",

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AU - Varadan, V. V.

AU - Messier, R.

PY - 1986/12/1

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AB - A new class of planar fractals called the Pascal-Sierpinski gaskets is described, of which the well known Sierpinski gasket is a special case. Some of these gaskets are true Mandelbrot fractals possessing non-integral dimensions as well as self-similarity; the remaining ones are not self-similar, but appear to have nonintegral dimensions.

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On a new class of planar fractals: The Pascal-Sierpinski gaskets

Abstract

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