Expository Papers on Packing and Tiling by Charles Radin

  1. C. Radin, Low temperature and the origin of crystalline symmetry, Intl. J. Mod. Phys., B1(1987), 1157-1191.
  2. C. Radin, Global Order from Local Sources, Review-Expository Paper, Bull. Amer. Math. Soc. 25(1991), 335-364.
  3. C. Radin, Symmetry of tilings of the plane, Bull. Amer. Math. Soc. 29(1993), 213-217.
  4. C. Radin, Symmetry and tilings, Notices Amer. Math. Soc. 42(1995), 26-31.
  5. C. Radin, Quasicrystals and geometry, Notices Amer. Math. Soc. 43(1996), 416-421.
  6. C. Radin, Miles of Tiles, Ergodic theory of Z^d-actions, London Math. Soc. Lecture Notes Ser. 228(1996), Cambridge Univ Press, 237-258.
  7. C. Radin, Aperiodic tilings, ergodic theory and rotations, The Mathematics of Long-Range Aperiodic Order, Nato Adv. Sci. Institutes Ser. 489(1997), Kluwer, 499-519.
  8. C. Radin, Statistical Symmetry, chapter in "Geometry at Work", MAA Notes volume 53 (Math. Assoc. Amer., Washington, DC, 2000).
  9. C. Radin, Rashomon: pavages et rotations, Gaz. Soc. Math. de France 79(1999), 49-57.
  10. C. Radin, The symmetry of optimally dense packings, in Non-Euclidean Geometries: János Bolyai Memorial Volume, Mathematics and Its Applications, Vol. 581, Springer, 2006, pp. 197-207.
  11. C. Radin, Orbits of orbs: sphere packing meets Penrose tilings, Amer. Math. Monthly 111(2004), 137-149.
  12. C. Radin, A review of two books on sphere packing, Amer. Math. Monthly 113(2006), 87-90.
  13. C. Radin, Conference report II, Appl. Rheol. 17:3(2007), 166.
  14. M.E. Fisher and C. Radin, Definitions of thermodynamic phases and phase transitions, linked on an AIM workshop web page.
  15. C. Radin, A revolutionary material, Notices Amer. Math. Soc. (to appear), arXiv:1209.4839 preprint.pdf


WEB PAGE ON QUASICRYSTALS

Scholarpedia

WEB PAGE ON SPHERE PACKING

Sphere packing, colloids and granular matter
VIDEOS

Lectures on modeling dense packings
NOTICES IN THE POPULAR PRESS

Encyclopaedia Britannica etc.
EXPOSITORY BOOK

C. Radin, Miles of Tiles, Student Mathematical Library, Vol 1 (Amer. Math. Soc., Providence, 1999).