The Costa-Hoffman-Meeks Minimal Surfaces,
Stewart Dickson 110 N Whipple St Fort Bragg, CA 95437 (707)813-0385 Stewart.Dickson@disney.comContact: The Williams Gallery.
The Costa-Hoffman-Meeks Minimal Surfaces,
Trinoid Minimal Surface,
Stereoscopic Mathematica computer
visualization, (c) 1990 Stewart Dickson.
The slide depicts a three-dimensional parametric plot of the Jorge-Meeks Trinoid minimal surface computed in Mathematica from the Global Enneper-Weierstrass form for Minimal Surfaces.
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Hardware/Software used: The Mathematica system for doing mathematics by computer on a Silicon Graphics Personal Iris 4D/25TG.
Trinoid
Dimensions: 8.5" X 8.5" X 8.5", Stereolithograph, (c) 1991 Stewart Dickson.
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The form and Enneper-Weierstrass parameterization were discovered by L. P. M. Jorge and W. H. Meeks III in 1984.
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Software/Hardware used: The Mathematica system for doing mathematics on the computer. Silicon Graphics 4D/25TG Personal Iris. Mathematica- Wavefront-Stereolithography data interface by Stewart Dickson. Stereolithography by SLA-500 system at Hughes Aircraft Company, funding by ACM/SIGGRAPH Special Projects Committee, T. Defanti, Chair.
Enneper's Minimal Surface,
Mathematica stereoscopic computer
visualization, (c) 1990 Stewart Dickson.
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Software/Hardware used: The Mathematica system for doing mathematics by computer. Silicon Graphics 4D/25TG Personal Iris.
Enneper's Minimal Surface,
Dimensions: 8.0" X 9.0" X 9.0", Stereolithograph, (c) 1991 Stewart Dickson.
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Software/Hardware used: The Mathematica system for doing mathematics by computer. Silicon Graphics 4D/25TG Personal Iris. Mathematica- Wavefront-Stereolithography data interface by Stewart Dickson. Stereolithography by SLA-500 system at Hughes Aircraft Company, funding by ACM/SIGGRAPH Special Projects Committee, T. Defanti, Chair.
Scherk's Second Minimal Surface,
Stereoscopic Mathematica computer
visualization, (c) 1990 Stewart Dickson.
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The slide depicts seven instances of the Fundamental Piece of Scherk's Second Surface computed in Mathematica from the Global Enneper-Weierstrass form for Minimal Surfaces.
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Hardware/Software used: The Mathematica system for doing mathematics by computer on a Silicon Graphics Personal Iris 4D/25TG.
The Fundamental Piece of Scherk's Second Minimal Surface,
Dimensions: 3.1" X 8.8" X 8.8", Stereolithograph, (c) 1991 Stewart Dickson.
This form affords reproduction in wax via a simple casting technique from a two-piece mould. The design may be repeated in two horizontal directions as well as the vertical direction. Proposed designs range from four to sixteen feet in height.
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Software/Hardware used: The Mathematica system for doing mathematics by computer, Silicon Graphics 4D/25TG Personal Iris. Mathematica- Wavefront-Stereolithography data interface by Stewart Dickson. Stereolithography by SLA-500 system at Hughes Aircraft Company, funding by ACM/SIGGRAPH Special Projects Committee, T. Defanti, Chair.
Scherk's Second Minimal Surface,
Dimensions: 12" X 8.8" X 8.8", Acrylic on Bronze, (c) 1991 Stewart Dickson.
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A bronze casting was made from four reproductions of the Stereolithograph of the fundamental piece assembled in wax. This piece illustrates the potential of computer-resident abstraction made concrete. The technology to accomnplish this does not yet exist.
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