The gyroid, illustrated above, is an infinitely connected periodic minimal surface containing no straight lines (Osserman 1986) that was discovered by Schoen
(1970). Große-Brauckmann and Wohlgemuth (1996) proved that the gyroid is embedded.
The gyroid is the only known embedded triply periodic minimal surface with triple junctions. In addition, unlike the five triply periodic minimal surfaces studied
by Anderson et al. (1990), the gyroid does not have any reflectional symmetries
(Große-Brauckmann 1997).
The image above shows a metal print of the gyroid created by digital sculptor Bathsheba
Grossman (http://www.bathsheba.com/).
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in Amphiphilic Systems." J. Chem. Phys.115, 1095-1099, 2001.Gòzdz,
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Curvature." Phys. Rev. Lett.76, 2726-2729, 1996.Große-Brauckmann,
K. "Gyroids of Constant Mean Curvature." Experiment. Math.6,
33-50, 1997.Große-Brauckmann, K. and Wohlgemuth, M. "The
Gyroid Is Embedded and Has Constant Mean Curvature Companions." Calc. Var.
Partial Differential Equations4, 499-523, 1996.Grossman,
B. "The Gyroid." http://www.bathsheba.com/math/gyroid/.Hyde,
S. T.; Andersson, S.; Ericsson, B.; and Larsson, K. "A Cubic Structure
Consisting of a Lipid Bilayer Forming an Infinite Periodic Minimal Surface of the
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