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 journalReview articlepeer-review

21 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 languageEnglish (US)
Article number047
Pages (from-to)1753-1759
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume19
Issue number9
DOIs
StatePublished - Dec 1 1986

All Science Journal Classification (ASJC) codes

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

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