Fractal sequences derived from the self-similar extensions of the sierpinski gasket

Akhlesh Lakhtakia; Russell Messier; Vijay K. Varadan; Vasundara V. Varadan

doi:10.1088/0305-4470/21/8/030

Fractal sequences derived from the self-similar extensions of the sierpinski gasket

Akhlesh Lakhtakia, Russell Messier, Vijay K. Varadan, Vasundara V. Varadan

Research output: Contribution to journal › Comment/debate › peer-review

5 Scopus citations

Abstract

The well known Sierpinski gasket has been generalised by us into the generalised Pascal-Sierpinski gaskets (GPSG) of orders (K, L), where both K and L are ≥ 2. It has been shown here that families of self-similar sequences can be derived from these extensions of the Sierpinski gasket when K =2 and L is a prime number.

Original language	English (US)
Pages (from-to)	1925-1928
Number of pages	4
Journal	Journal of Physics A: Mathematical and General
Volume	21
Issue number	8
DOIs	https://doi.org/10.1088/0305-4470/21/8/030
State	Published - Apr 21 1988

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/21/8/030

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abstract = "The well known Sierpinski gasket has been generalised by us into the generalised Pascal-Sierpinski gaskets (GPSG) of orders (K, L), where both K and L are ≥ 2. It has been shown here that families of self-similar sequences can be derived from these extensions of the Sierpinski gasket when K =2 and L is a prime number.",

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AU - Lakhtakia, Akhlesh

AU - Messier, Russell

AU - Varadan, Vijay K.

AU - Varadan, Vasundara V.

PY - 1988/4/21

Y1 - 1988/4/21

N2 - The well known Sierpinski gasket has been generalised by us into the generalised Pascal-Sierpinski gaskets (GPSG) of orders (K, L), where both K and L are ≥ 2. It has been shown here that families of self-similar sequences can be derived from these extensions of the Sierpinski gasket when K =2 and L is a prime number.

AB - The well known Sierpinski gasket has been generalised by us into the generalised Pascal-Sierpinski gaskets (GPSG) of orders (K, L), where both K and L are ≥ 2. It has been shown here that families of self-similar sequences can be derived from these extensions of the Sierpinski gasket when K =2 and L is a prime number.

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U2 - 10.1088/0305-4470/21/8/030

DO - 10.1088/0305-4470/21/8/030

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JF - Journal of Physics A: Mathematical and General

IS - 8

ER -

Fractal sequences derived from the self-similar extensions of the sierpinski gasket

Abstract

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