Minimum perimeter partitions of the plane into equal numbers of regions of two different areas

European Physical Journal E

Volumn 6, Issue 2, 2001, Pages 133-137

  Fortes, M A ^a   Teixeira, P I C ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035490720     PISSN: 12928941     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101890170014     Document Type: Article

References (14)

1. Marcus Terentius Varro, On Agriculture (Harvard University Press, Cambridge, Mass. 1934).
2. T.C. Hales, Discrete Comput. Geom. 25, 1 (2001).
3. F. Morgan, Trans. AMS 351, 1753 (1999); Proceedings of the 3rd Euroconference on Foams, Emulsions and Applications, edited by P. Zitha, J. Banhart, G. Verbist (Verlag MIT Publishing, Bremen, 2000) pp. 181-190.
4. F. Morgan, Trans. AMS 351, 1753 (1999); Proceedings of the 3rd Euroconference on Foams, Emulsions and Applications, edited by P. Zitha, J. Banhart, G. Verbist (Verlag MIT Publishing, Bremen, 2000) pp. 181-190.
5. B. Grünbaum, G.C. Shepperd, Tilings and Patterns (W.H. Freemann, New York, 1987).
6. J.A.F. Plateau, Statique expérimentale et théorique des Liquides soumis aux seules Forces moléculaires (Gauthier-Villars, Paris, 1873).
7. J-E. Taylor, Ann. Math. 103, 489 (1976); F. Almgren, J.E. Taylor, Forma 11, 199 (1996).
8. J-E. Taylor, Ann. Math. 103, 489 (1976); F. Almgren, J.E. Taylor, Forma 11, 199 (1996).
9. M.A. Fortes, P.I.C. Teixeira, unpublished.
10. P. Pina, M.A. Fortes, J. Phys. D 29, 2507 (1996).
11. F.T. Lewis, Anat. Records 38, 341 (1928); 50, 235 (1931).
12. F.T. Lewis, Anat. Records 38, 341 (1928); 50, 235 (1931).
13. D. Weaire, N. Rivier, Contemp. Phys. 25, 5 (1984).
14. P. Spellucci, http://www.netlib.org/opt/donlp2.