Triply-periodic balance surfaces

Colloids and Surfaces A: Physicochemical and Engineering Aspects

Volumn 129-130, Issue , 1997, Pages 279-295

  Lord, Eric A ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Balance surfaces; Labyrinths; Minimal surfaces; Triply periodic surfaces

Indexed keywords

COMPUTATIONAL METHODS;

TRIPLY PERIODIC BALANCE SURFACES;

SURFACES;

ARTICLE; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SURFACE PROPERTY;

EID: 0031592183     PISSN: 09277757     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0927-7757(97)00045-9     Document Type: Article

References (19)

1. H.A. Schwarz, Über Minimalflächen, Monatsber. der Berlin Akad. (Apr 1865) 3-27; Gesammelte mathematische Abhandlungen, Vol. 1, Springer, Berlin, 1890.
2. H.A. Schwarz, Über Minimalflächen, Monatsber. der Berlin Akad. (Apr 1865) 3-27; Gesammelte mathematische Abhandlungen, Vol. 1, Springer, Berlin, 1890.
3. E.R. Neovius, Bestimmung zweier speciellen periodischen Minimalflächen, Helsingfors, 1883.
4. A.H. Schoen, Infinite periodic minimal surfaces without self-intersections. NASA Technical Note TN D-5541, Washington, DC, 1970.
5. W. Fischer, E. Koch, On 3-periodic minimal surfaces, Z. Kristallogr. 179 (1988) 31.
6. E. Koch, W. Fischer, On 3-periodic minimal surfaces with non-cubic symmetry, Z. Kristallogr. 183 (1988) 129.
7. W. Fischer, E. Koch, New surface patches for minimal balance surfaces. I. Branched catenoids, Acta Cryst. A45 (1989) 166.
8. E. Koch, W. Fischer, New surface patches for minimal balance surfaces. II. Multiple catenoids, Acta Cryst. A45 (1989) 169.
9. W. Fischer, E. Koch, New surface patches for minimal balance surfaces. III. Infinite strips, Acta Cryst. A45 (1989) 485.
10. E. Koch, W. Fischer, New surface patches for minimal balance surfaces. IV. Catenoids with spout-like attachments, Acta Cryst. A45 (1990) 558.
11. A. Fogden, S.T. Hyde, Parametrization of triply periodic minimal surfaces. I. Mathematical basis of the construction algorithm for the regular class, Acta Cryst. A48 (1992) 442.
12. A. Fogden, S.T. Hyde, Parametrization of triply periodic minimal surfaces. II. Regular class solutions, Acta Cryst. A48 (1992) 547.
13. K.A. Brakke, The Surface Evolver, Exp. Math. 1 (1992) 141.
14. H. Karcher, The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions, Manuscripta Math. 64 (1989) 291.
15. A. Fogden, M. Haeberlein, S. Lidin, Generalizations of the gyroid surface, J. Phys. 1, France 3 (1993) 2371.
16. A. Fogden, M. Haeberlein, New families of triply periodic minimal surfaces, J. Chem. Soc. Faraday Trans. 90 (1994) 263.
17. E. Koch, W. Fischer, Zur Bestimmung asymmetrischer Einheiten kubischer Raumgruppen mit Hilfe von Wirkungsbereichen, Acta Cryst. A30 (1974) 490.
18. International Tables for Crystallography, Vol. A, Kynoch Press, Birmingham, 3rd ed., 1983.
19. W. Fischer, E. Koch, Genera of minimal balance surfaces, Acta Cryst. A45 (1989) 726.