Abstract
BICONTINUOUS partitioning of a volume is produced by inscribing a continuous, orientable surface of positive genus without self-intersection. This divides the volume into two multiply connected, interpenetrating subvolumes, each of them physically continuous (mathematically connected). Neither on a line nor in the plane is there an analogue. A bicontinuous structure is a bicontinuous partitioning in which each subvolume is filled with a distinct, not necessarily uniform composition or state of matter. In familiar examples one subvolume is solid or semi-solid, for example sandstone or sponge. An interspersion of two phases is bicontinuous only if each phase is connected across the specimen.
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References
Winsor, P. A., Trans. Faraday Soc., 44, 376, 382, 387, 390 (1948); Solvent Properties of Amphiphilic Compounds (Butterworths, London, 1954).
Winsor, P. A., Chem. Rev., 68, 1 (1968).
Ekwall, P., Mandell, L., and Fontell, L., Proc. Fifth Int. Congr. on Surface Active Substances (Barcelona), 2, 443 (1968).
Shinoda, K., and Friberg, S., Adv. Colloid Interface Sci., 4, 281 (1975).
Healy, R. N., Reed, R. L., and Stenmark, D. G., Soc. Petrol Engrs, Paper No. 5565 (presented at Dallas, Texas, 28 Sept. 1975); Soc. Petrol. Eng. J., 16 (in the press).
Schwarz, H. A., Gesamm. math. Abh. (Springer, Berlin, 1980).
Nitsche, J. C. C., Vorlesungen über Minimalflächen, Sections 276–281, 818, 882 (Springer, Berlin, 1975).
Schoen, A. H. NASA TN D-5541 (Washington, DC, 1970).
Neovius, E. R., Bestimmung zweier speziellen periodischen Minimalflächen (J. C. Frenkel, Helsingfors, 1883).
Murphy, C. L. thesis, University of Minnesota (1966).
Proc. Symp. Micellization, Solubilization and Microemulsions, Am. chem. Soc., New York, 1976 (edit. by Mittal, K. L.) (Plenum, New York, in the press).
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SCRIVEN, L. Equilibrium bicontinuous structure. Nature 263, 123–125 (1976). https://doi.org/10.1038/263123a0
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DOI: https://doi.org/10.1038/263123a0
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