Geochemical phase diagrams and gale diagrams

P. H. Edelman, S. W. Peterson, V. Reiner, J. H. Stout

Research output: Contribution to journalArticlepeer-review


The problem of predicting the possible topologies of a geochemical phase diagram, based on the chemical formula of the phases involved, is shown to be intimately connected with and aided by well-studied notions in discrete geometry: Gale diagrams, triangulations, secondary fans, and oriented matroids.

Original languageEnglish (US)
Pages (from-to)231-259
Number of pages29
JournalSIAM Journal on Applied Mathematics
Issue number1
StatePublished - Oct 2003


  • Closed net
  • Euler sphere
  • Gale diagram
  • Gale transform
  • Geochemistry
  • Heterogeneous equilibrium
  • Phase diagram
  • Secondary fan
  • Secondary polytope
  • Triangulation


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