Self-similarity versus self-affinity: The Sierpinski gasket revisited

A. Lakhtakia, R. Messier, V. V. Varadan, V. K. Varadan

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


A Hilbert curve is constructed on the Sierpinski gasket. It is shown that despite the fact that the Sierpinski gasket is rigorously self-similar, the Hilbert curve is merely self-affine.

Original languageEnglish (US)
Article number007
Pages (from-to)L985-L989
JournalJournal of Physics A: Mathematical and General
Issue number16
StatePublished - Dec 1 1986

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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