Charles Radin

Department of Mathematics
University of Texas
2515 Speedway Stop C1200
Austin, TX 78712-1202

Phone: (512) 471-0174
Office: RLM 12.114
FAX: (512) 471-9038
Email: radin (at) math (dot) utexas (dot) edu

Current research interest: Hilbert's eighteenth problem - understanding the symmetry of optimally dense packings, of spheres or polyhedra, in Euclidean and hyperbolic spaces, including aperiodic tilings such as the pinwheel, the quaquaversal, and the Penrose kites and darts. I'm also working on the closely related physics problem of the origin of structure in high density/low energy matter, using probabilistic models of sphere packings. In particular I'm interested in phase transitions in various exotic materials in and out of thermal equilibrium, for instance soft matter, such as sand piles or crumpled sheets, and quasicrystals. And although applications are not yet as compelling, I am also applying similar ideas to random networks.

Short Curriculum Vitae and professional ancestry


  • Complete list
  • By subject:
  • Packing, tiling and ground states
  • Crystals, soft matter and phase transitions
  • Quantum dynamics
  • Expository papers
  • Book on aperiodic tiling
  • Articles on this work in the popular press, and applications:, Encyclopaedia Britannica etc.

    Some links to matters aperiodic, quasicrystalline, packing/soft matter and random networks