References
References
- Avron , JE and Levine , D . 1992 . Phys. Rev. Lett. , 69 : 208
- Brakke K 1977 The Motion of a Surface by its Mean Curvature Princeton NJ Princeton University Press
- Brakke , K . 1992 . Exper. Math. , 1 : 141
- Brakke K 2002 http://geom.umn.edu/software/evolver
- Cox , SJ and Fortes , MA . 2003 . Phil. Mag. Lett. , 83 : 281
- Cox SJ 2003 private communication
- Coxeter HSM 1958 Illinois J. of Math. reprinted in The Kelvin Problem, vol. 2, edited by Denis Weaire, 1996 London Taylor & Francis pp. 109–123
- DeHoff , RT . 1994 . Acta Metall. et Mat. , 42 : 2633
- Desch , CH . 1919 . Trans. ASM , 22 : 241
- Drew , DA . 1990 . SIAM J. Appl. Math. , 50 : 649
- Fradkov , VE , Palmer , M , Nordberg , J , Glicksman , ME and Rajan , K . 1993 . Physica D , 66 : 50
- Fradkov , VE , Palmer , M , Glicksman , ME and Rajan , K . 1994 . Acta Metall. et Mat. , 42 : 2719
- Glazier , JA . 1993 . Phys. Rev. Lett. , 70 : 2170
- Glicksman , ME , Lupulescu , A and Koss , MB . 2003 . J. Thermophysics and Heat Transfer , 17 : 69
- Goldberg , M . 1934 . Tohoku Math. J. , 40 : 226
- Graner , F , Jiang , Y , Janiaud , E and Flament , C . 2001 . Phys. Rev. E , 63 : 402
- Gray A 1997 The Gaussian and Mean Curvature second edn Boca Raton CRC Press
- Gray A 1999 Modern Differential Geometry second edn Boca Raton CRC Press
- Harker , D and Parker , E . 1945 . Trans. ASM , 34 : 156
- Hilgenfeldt , S , Kraynik , AM , Koehler , SA and Stone , HA . 2001 . Phys. Rev. Lett. , 86 : 2685
- Huisken , G . 1984 . J. Diff. Geometry , 20 : 237
- Koenderink JJ 1991 Solid Shape second edn Cambridge MIT Press
- Kraynik AM Reinelt DA van Swol F 2000 Proceedings of the 3rd EuroConference on Foams, Emulsions and Applications edited by P. Zitha Bremen MIT-Verlag
- Lewis , FT . 1944 . Am. J. Botany , 31 : 619
- Lipschutz MM 1981 Differential Geometry Schaums Outline Series New York McGraw-Hill
- Lord , Kelvin . 1887 . Phil. Mag. , 24 : 503
- Lord , Kelvin . 1894 . Proc. R. Soc. , 55 : 1
- Marsh SP Glicksman ME Zwillinger D 1988 Modeling and Control of Casting and Welding Processes Vol. 4, edited by T. S. Piwonka and H. P. Wang Warrendale Pennsylvania The Metallurgical Society of AIME pp. 921–928
- Marsh , SP and Glicksman , ME . 1996 . Metall. Matls. Trans. A , 27A : 557
- Marsh , SP and Glicksman , ME . 1997 . Mater. Sci. Engn. , A238 : 140
- Matzke , EB and Nestler , J . 1946 . Am. J. Botany , 33 : 130
- Matzke EB 1952 Grain Shapes and other Metallurgical Applications of Topology Cleveland American Society for Metals pp. 110–111
- Monnereau , C and Vignes-Adler , M . 1998 . Phys. Rev. Lett. , 80 : 5228
- Monnereau , C , Pittet , N and Weaire , D . 2000 . Europhys. Lett. , 52 : 361
- Mullins , WW . 1956 . J. Appl. Phys. , 22 : 900
- Mullins , WW . 1986 . J. Appl. Phys. , 59 : 1341
- Nelson , DR . 1983 . Phys. Rev. , B28 : 5515
- Palmer , MA , Fradkov , VE , Glicksman , ME and Rajan , K . 1994 . Scripta Metall. et Mat. , 30 : 633
- Palmer , MA , Glicksman , ME , Rajan , K , Fradkov , VE and Nordberg , J . 1995 . Metall. and Mat. Trans. A , 26 : 1061
- Phelan R 1996 The Kelvin Problem edited by Denis Weaire London Taylor & Francis pp. 125–140
- Rios P 2004 private communciation
- Rivier , N . 1982 . J. Phys. (Paris) , 43 : 91
- Rollett A 2003 private communication
- Ross , S . 1978 . Am. J. Phys. , 46 : 513
- Smith CS 1952 Grain Shapes and other Metallurgical Applications of Topology Cleveland American Society for Metals pp. 65–109
- Spaepen F 2003 private communication
- Streitenberger P 2003 private communication
- Struik D 1950 Lectures on Classical Differential Geometry Reading MA Addison-Wesley
- Thompson DW 1948 On Growth and Form second edn Cambridge Cambridge University
- Vaz , MF , Fortes , MA and Graner , F . 2002 . Phil. Mag. Lett. , 82 : 575
- von Neumann J 1952 Grain Shapes and other Metallurgical Applications of Topology Cleveland American Society for Metals pp. 108–110
- Weisstein EW 1999a World of Mathematics Boca Raton CRC Press
- Weisstein EW 1999b http://mathworld.wolfram.com
- Weisstein EW 1999c “Reuleaux Tetrahedron”, MathWorld, A Wolfram Web Resource http://mathworld.wolfram.com/ReuleauxTetrahedron.html
- Williams WM 1952 Metal Interfaces written discussion Cleveland American Society for Metals
- Zwillinger D 1995 Spherical Geometry and Trigonometry Boca Raton CRC Press