The isoperimetric problem for pinwheel tilings

Communications in Mathematical Physics

Volumn 177, Issue 1, 1996, Pages 255-263

  Radin, Charles ^a   Sadun, Lorenzo ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030529618     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02102438     Document Type: Article

References (11)

1. Berend, D., Radin, C.: Are there chaotic tilings? Commun. Math. Phys. 152, 215-219 (1993)
2. Gardner, M.: Extraordinary nonperiodic tiling that enriches the theory of tiles. Sci. Amer. 116-119 (January 1977)
3. Kesten, H.: Percolation theory and ergodic theory of infinite particle systems. Berlin, Heidelberg, New York: Springer, 1987
4. Radin, C.: Global order from local sources. Bull. Am. Math. Soc. 25, 335-364 (1991)
5. Radin, C.: The pinwheel tilings of the plane. Ann. Math. 139, 661-702 (1994)
6. Radin, C.: Symmetry and tilings. Notices Am. Math. Soc. 42, 26-31 (1995)
7. Radin, C.: Space tilings and substitutions, Geometriae Dedicata 55, 257-264 (1995)
8. Radin, C.: Miles of tiles. Preprint, Univ. of Texas, (1994) [Obtainable from the electronic archive: mp-arc@math.utexas.edu]
9. Steinhardt, P.J., Ostlund, S.: The physics of quasicrystals. Singapore: World Scientific, 1987
10. Taylor, J.E.: Crystalline variational problems. Bull. Am. Math. Soc. 84, 568-588 (1978)
11. Wulff, G.: Zur Frage der Geschwindigkeit des Wachstums und der Auflösung der Kriställflächen. Zeitschrift für Krystallographie und Mineralogie 34, 449-530 (1901)