Combinatorial fractal geometry with a biological application

John Konvalina, Igor Konfisakhar, Jack Heidel, Jim Rogers

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The solution to a deceptively simple combinatorial problem on bit strings results in the emergence of a fractal related to the Sierpinski Gasket. The result is generalized to higher dimensions and applied to the study of global dynamics in Boolean network models of complex biological systems.

Original languageEnglish (US)
Pages (from-to)133-142
Number of pages10
Issue number2
StatePublished - Jun 2006


  • Boolean Networks
  • Box-Counting Method
  • Combinatorics
  • Entropy
  • Fractal Geometry
  • Sierpinski Gasket
  • Stirling Numbers

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Applied Mathematics


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