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Volumn 354, Issue 1715, 1996, Pages 2105-2142

Spanning minimal surfaces

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EID: 3043002716     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1996.0094     Document Type: Article
Times cited : (33)

References (46)
  • 2
    • 0002050736 scopus 로고
    • Eine Beschreibung komplexer anorganischer Kristallstrukturen
    • Andersson, St. 1983 Eine Beschreibung komplexer anorganischer Kristallstrukturen. Angew. Chem. 95, 67-80.
    • (1983) Angew. Chem. , vol.95 , pp. 67-80
    • Andersson, St.1
  • 4
    • 0000508452 scopus 로고
    • Geometrical symbols for all crystallographic symmetry groups up to three dimensions
    • Bohm, J. & Dornberger-Schiff, K. 1967 Geometrical symbols for all crystallographic symmetry groups up to three dimensions. Acta Crystallogr. 23, 913-933.
    • (1967) Acta Crystallogr. , vol.23 , pp. 913-933
    • Bohm, J.1    Dornberger-Schiff, K.2
  • 5
    • 0000823923 scopus 로고
    • The T and CLP families of triply periodic minimal surfaces. Part 1. Derivation of parametric equations
    • Cvijović, D. & Klinowski, J. 1992a The T and CLP families of triply periodic minimal surfaces. Part 1. Derivation of parametric equations. J. Physique 2, 137-147.
    • (1992) J. Physique , vol.2 , pp. 137-147
    • Cvijović, D.1    Klinowski, J.2
  • 6
    • 0000823923 scopus 로고
    • The T and CLP families of triply periodic minimal surfaces. Part 2. The properties and computation of T surfaces
    • Cvijović, D. & Klinowski, J. 1992b The T and CLP families of triply periodic minimal surfaces. Part 2. The properties and computation of T surfaces. J. Physique 2, 2191-2205.
    • (1992) J. Physique , vol.2 , pp. 2191-2205
    • Cvijović, D.1    Klinowski, J.2
  • 7
    • 0000823923 scopus 로고
    • The T and CLP families of triply periodic minimal surfaces. Part 3. The properties and computation of CLP surfaces
    • Cvijović, D. & Klinowski, J. 1992c The T and CLP families of triply periodic minimal surfaces. Part 3. The properties and computation of CLP surfaces. J. Physique 2, 2207-2220.
    • (1992) J. Physique , vol.2 , pp. 2207-2220
    • Cvijović, D.1    Klinowski, J.2
  • 8
    • 0000064720 scopus 로고
    • The oCLP family of triply periodic minimal surfaces
    • Cvijović, D. & Klinowski, J. 1993 The oCLP family of triply periodic minimal surfaces. J. Physique 3, 909-924.
    • (1993) J. Physique , vol.3 , pp. 909-924
    • Cvijović, D.1    Klinowski, J.2
  • 10
    • 0001797172 scopus 로고
    • On 3-periodic minimal surfaces
    • Fischer, W. & Koch, E. 1987 On 3-periodic minimal surfaces. Z. Kristallogr. 179, 31-52.
    • (1987) Z. Kristallogr. , vol.179 , pp. 31-52
    • Fischer, W.1    Koch, E.2
  • 11
    • 33748513936 scopus 로고
    • New surface patches for minimal balance surfaces. I. Branched catenoids
    • Fischer, W. & Koch, E. 1989a New surface patches for minimal balance surfaces. I. Branched catenoids. Acta Crystallogr. A 45, 166-169.
    • (1989) Acta Crystallogr. A , vol.45 , pp. 166-169
    • Fischer, W.1    Koch, E.2
  • 12
    • 0001297937 scopus 로고
    • New surface patches for minimal balance surfaces. III. Infinite strips
    • 6
    • Fischer, W. & Koch, E. 19896 New surface patches for minimal balance surfaces. III. Infinite strips. Acta Crystallogr. A 45, 485-490.
    • (1989) Acta Crystallogr. A , vol.45 , pp. 485-490
    • Fischer, W.1    Koch, E.2
  • 13
    • 84944817924 scopus 로고
    • Genera of minimal balance surfaces
    • Fischer, W. & Koch, E. 1989c Genera of minimal balance surfaces. Acta Crystallogr. A 45, 726-732.
    • (1989) Acta Crystallogr. A , vol.45 , pp. 726-732
    • Fischer, W.1    Koch, E.2
  • 14
    • 0004231874 scopus 로고
    • Crystallographic aspects of minimal surfaces
    • Colloque C7
    • Fischer, W. & Koch, E. 1990 Crystallographic aspects of minimal surfaces. Coll. Phys., Tome 51, Colloque C7, 131-147.
    • (1990) Coll. Phys. , vol.51 , pp. 131-147
    • Fischer, W.1    Koch, E.2
  • 15
    • 3042978798 scopus 로고
    • Symmetry aspects of 3-periodic minimal surfaces
    • (ed. E. Allgower, K. Böhmer & M. Golubitsky) (International Series of Numerical Mathematics 104). Basel: Birkhuser
    • Fischer, W. & Koch, E. 1992 Symmetry aspects of 3-periodic minimal surfaces. In Bifurcation and symmetry (ed. E. Allgower, K. Böhmer & M. Golubitsky) (International Series of Numerical Mathematics 104). Basel: Birkhuser.
    • (1992) Bifurcation and Symmetry
    • Fischer, W.1    Koch, E.2
  • 16
    • 2742551596 scopus 로고
    • Self-intersecting three-periodic minimal surfaces: Some examples
    • Fischer, W. & Koch, E. 1995a Self-intersecting three-periodic minimal surfaces: Some examples. Z. Kristallogr., suppl. no. 10, 121.
    • (1995) Z. Kristallogr. , Issue.10 SUPPL. , pp. 121
    • Fischer, W.1    Koch, E.2
  • 18
    • 0001062027 scopus 로고
    • Parametrization of triply periodic minimal surfaces. III. General algorithm and specific examples for the irregular class
    • Fogden, A. 1993 Parametrization of triply periodic minimal surfaces. III. General algorithm and specific examples for the irregular class. Acta Crystallogr. A 49, 409-421.
    • (1993) Acta Crystallogr. A , vol.49 , pp. 409-421
    • Fogden, A.1
  • 19
    • 0002783460 scopus 로고
    • Description of a 3-periodic minimal surface family with trigonal symmetry
    • Fogden, A. 1994 Description of a 3-periodic minimal surface family with trigonal symmetry. Z. Kristallogr. 209, 22-31.
    • (1994) Z. Kristallogr. , vol.209 , pp. 22-31
    • Fogden, A.1
  • 20
    • 77951518824 scopus 로고
    • Parametrization of triply periodic minimal surfaces. I. Mathematical basis of the construction algorithm for the regular class
    • Fogden, A. & Hyde, S. T. 1992a Parametrization of triply periodic minimal surfaces. I. Mathematical basis of the construction algorithm for the regular class. Acta Crystallogr. A 48, 442-451.
    • (1992) Acta Crystallogr. A , vol.48 , pp. 442-451
    • Fogden, A.1    Hyde, S.T.2
  • 21
    • 4243659085 scopus 로고
    • Parametrization of triply periodic minimal surfaces. II. Regular class solutions
    • Fogden, A. & Hyde, S. T. 1992b Parametrization of triply periodic minimal surfaces. II. Regular class solutions. Acta Crystallogr. A 48, 575-591.
    • (1992) Acta Crystallogr. A , vol.48 , pp. 575-591
    • Fogden, A.1    Hyde, S.T.2
  • 24
    • 84942966624 scopus 로고
    • The topology and geometry of infinite periodic surfaces
    • Hyde, S. T. 1989 The topology and geometry of infinite periodic surfaces. Z. Kristallogr. 187, 165-185.
    • (1989) Z. Kristallogr. , vol.187 , pp. 165-185
    • Hyde, S.T.1
  • 25
    • 0000709489 scopus 로고
    • A systematic net description of saddle polyhedra and periodic minimal surfaces
    • Hyde, S. T. & Andersson, St. 1984 A systematic net description of saddle polyhedra and periodic minimal surfaces. Z. Kristallogr. 168, 221-254.
    • (1984) Z. Kristallogr. , vol.168 , pp. 221-254
    • Hyde, S.T.1    Andersson, S.2
  • 26
    • 84955838250 scopus 로고
    • Differential geometry of crystal structure descriptions, relationships and phase transformation
    • Hyde, S. T. & Andersson, St. 1985 Differential geometry of crystal structure descriptions, relationships and phase transformation. Z. Kristallogr. 170, 225-239.
    • (1985) Z. Kristallogr. , vol.170 , pp. 225-239
    • Hyde, S.T.1    Andersson, S.2
  • 27
    • 0001162145 scopus 로고
    • The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
    • Karcher, H. 1989 The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions. Manuscripta Math. 64, 291-357.
    • (1989) Manuscripta Math. , vol.64 , pp. 291-357
    • Karcher, H.1
  • 29
    • 2742551596 scopus 로고
    • Self-intersecting three-periodic minimal surfaces: General ideas
    • Koch, E. 1995 Self-intersecting three-periodic minimal surfaces: General ideas. Z. Kristallogr. suppl. no. 10, 121.
    • (1995) Z. Kristallogr. , Issue.10 SUPPL. , pp. 121
    • Koch, E.1
  • 30
    • 0000034447 scopus 로고
    • On 3-periodic minimal surfaces with non-cubic symmetry
    • Koch, E. & Fischer, W. 1988 On 3-periodic minimal surfaces with non-cubic symmetry. Z. Kristallogr. 183, 129-152.
    • (1988) Z. Kristallogr. , vol.183 , pp. 129-152
    • Koch, E.1    Fischer, W.2
  • 31
    • 84944814177 scopus 로고
    • New surface patches for minimal balance surfaces. II. Multiple catenoids
    • Koch, E. & Fischer, W. 1989a New surface patches for minimal balance surfaces. II. Multiple catenoids. Acta Crystallogr. A 45, 169-174.
    • (1989) Acta Crystallogr. A , vol.45 , pp. 169-174
    • Koch, E.1    Fischer, W.2
  • 32
    • 0001297936 scopus 로고
    • New surface patches for minimal balance surfaces. IV. Catenoids with spout-like attachments
    • Koch, E. & Fischer, W. 1989b New surface patches for minimal balance surfaces. IV. Catenoids with spout-like attachments. Acta Crystallogr. A 45, 558-563.
    • (1989) Acta Crystallogr. A , vol.45 , pp. 558-563
    • Koch, E.1    Fischer, W.2
  • 33
    • 0002545640 scopus 로고
    • Flat points of minimal balance surfaces
    • Koch, E. & Fischer, W. 1990 Flat points of minimal balance surfaces. Acta Crystallogr. A 46, 33-40.
    • (1990) Acta Crystallogr. A , vol.46 , pp. 33-40
    • Koch, E.1    Fischer, W.2
  • 34
    • 0003212745 scopus 로고
    • Triply periodic minimal balance surfaces: A correction
    • Koch, E. & Fischer, W. 1993a Triply periodic minimal balance surfaces: a correction. Acta Crystallogr. A 49, 209-210.
    • (1993) Acta Crystallogr. A , vol.49 , pp. 209-210
    • Koch, E.1    Fischer, W.2
  • 35
    • 0002845844 scopus 로고
    • A Crystallographic approach to 3-periodic minimal surfaces
    • (ed. H. T. Davis & J. C. C. Nitsche) (The IMA Volumes in Mathematics and its Applications 51). New York: Springer
    • Koch, E. & Fischer, W. 1993b A Crystallographic approach to 3-periodic minimal surfaces. In Statistical thermodynamics and differential geometry of microstructured materials (ed. H. T. Davis & J. C. C. Nitsche) (The IMA Volumes in Mathematics and its Applications 51). New York: Springer.
    • (1993) Statistical Thermodynamics and Differential Geometry of Microstructured Materials
    • Koch, E.1    Fischer, W.2
  • 36
    • 0023404399 scopus 로고
    • A construction algorithm for minimal surfaces
    • Lidin, S. & Hyde S. T. 1987 A construction algorithm for minimal surfaces. J. Physique 48, 1585-1590.
    • (1987) J. Physique , vol.48 , pp. 1585-1590
    • Lidin, S.1    Hyde, S.T.2
  • 37
    • 0000126190 scopus 로고
    • Periodic minimal surfaces
    • Mackay, A. L. 1985 Periodic minimal surfaces. Nature 314, 604-606.
    • (1985) Nature , vol.314 , pp. 604-606
    • Mackay, A.L.1
  • 38
    • 41049083688 scopus 로고
    • Towards a grammar of inorganic structure
    • Mackay, A. L. & Klinowski, J. 1986 Towards a grammar of inorganic structure. Comp. Maths. Appl. B 12, 803-824.
    • (1986) Comp. Maths. Appl. B , vol.12 , pp. 803-824
    • Mackay, A.L.1    Klinowski, J.2
  • 41
    • 85020781273 scopus 로고
    • The existence of surface patches for periodic minimal surfaces
    • Colloque C7
    • Nitsche, J. C. C. 1990 The existence of surface patches for periodic minimal surfaces. Coll. Phys., Tome 51, Colloque C7, 265-271.
    • (1990) Coll. Phys. , vol.51 , pp. 265-271
    • Nitsche, J.C.C.1
  • 45
    • 0001567371 scopus 로고
    • Periodische Minimalflächen
    • Stessmann, B. 1934 Periodische Minimalflächen. Math. Zeit. 38, 417-442.
    • (1934) Math. Zeit. , vol.38 , pp. 417-442
    • Stessmann, B.1
  • 46
    • 0003575274 scopus 로고
    • The shape of space: How to visualize surfaces and three-dimensional manifolds
    • New York: Marcel Dekker
    • Weeks, J. R. 1985 The shape of space: how to visualize surfaces and three-dimensional manifolds. In Monographs and textbooks in pure and applied mathematics, vol. 96. New York: Marcel Dekker.
    • (1985) Monographs and Textbooks in Pure and Applied Mathematics , vol.96
    • Weeks, J.R.1


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