J. Phys. I France
Volume 3, Numéro 12, December 1993
Page(s) 2371 - 2385
DOI: 10.1051/jp1:1993250
J. Phys. I France 3 (1993) 2371-2385

Generalizations of the gyroid surface

A. Fogden, M. Haeberlein and S. Lidin

Inorganic Chemistry 2, Chemical Centre, PO Box 124, S-22100 Lund, Sweden

(Received 19 March 1993, accepted in final form 19 August 1993)

The deformation of Schoen's gyroid - one of the three examples of triply-periodic minimal surfaces possessing cubic symmetry and genus 3 - is discussed. Lower-symmetry variants (similarly of genus 3) are shown to exist, and the one-variable family of rhombohedrally-distorted gyroids is constructed and parametrised exactly via the Weierstrass representation.

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