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OZONE Meeting, SIGGRAPH 2003. mathematics & art. Carlo H. Séquin U.C. Berkeley. I am a Designer, Engineer …. CCD Camera, Bell Labs, 1973 Soda Hall, Berkeley, 1994. RISC chip, Berkeley, 1981 “Octa-Gear”, Berkeley, 2000. “Artistic Geometry”. The role of the computer in:
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OZONE Meeting, SIGGRAPH 2003 mathematics & art Carlo H. Séquin U.C. Berkeley
I am a Designer, Engineer … CCD Camera, Bell Labs, 1973 Soda Hall, Berkeley, 1994 RISC chip, Berkeley, 1981 “Octa-Gear”, Berkeley, 2000
“Artistic Geometry” The role of the computer in: • the creative process, • aesthetic optimization. Collaboration with…
Virtual Model Making for Mathematically Inspired SculpturesArt-Math'97, SUNY, Albany, 1997. B. Collins “Hyperbolic Hexagon II ”
Closing the Loop straight or twisted
Brent Collins’ Prototyping Process Mockup for the "Saddle Trefoil" Armature for the "Hyperbolic Heptagon" Time-consuming ! (1-3 weeks)
V-art VirtualGlassScherkTowerwith MonkeySaddles(Radiance 40 hours) Jane Yen
Art, Math, and ComputersBRIDGES’98, Winfield KS, July 29, 1998
Virtual Prototyping of Geom. SculpturesComputers & Sculpture, Chicago,1998. Solar Arch (with Brent Collins)
Collins’ Fabrication Process Wood master patternfor sculpture Layered laminated main shape Example: “Vox Solis”
Slices through “Minimal Trefoil” 50% 30% 23% 10% 45% 27% 20% 5% 35% 25% 15% 2%
Profiled Slice through “Heptoroid” • One thick slicethru sculpture,from which Brent can cut boards and assemble a rough shape. • Traces represent: top and bottom,as well as cuts at 1/4, 1/2, 3/4of one board.
Emergence of the “Heptoroid” (1) Assembly of the precut boards
Emergence of the “Heptoroid” (2) Forming a continuous smooth edge
Emergence of the “Heptoroid” (3) Smoothing the whole surface
The Finished “Heptoroid” • at Fermi Lab Art Gallery (1998).
Hyper-Sculpture: “Family of 12 Trefoils” W=2 W=1 B=1 B=2 B=3 B=4
Computer-Augmented InspirationISAMA 99, San Sebastian, 1999. Doubly-wound Scherk-Collins Toroid
“Cohesion” SIGGRAPH’2003 Art Gallery
Analogies from 2D to 3D: Exercises in Disciplined CreativityBRIDGES, Winfield KS, 1999. 3D Yin-Yang
Turning Math Models into SculpturesMOSAIC 2000, Seattle, 2000. Triply Twisted Figure-8 Klein Bottle
Symmetries on the SphereISIS Symmetry Congress, Sydney, 2001. 60 Butterflies
Viae Globi - Pathways on a SphereMathematics and Design, Geelong, 2001.
Sculpture DesignVirtual Systems & Multimedia,Berkeley, 2001 Galapagos (version 5), inspired by Brent Collins
3D Visualization Models of the RegularPolytopes in 4 DBRIDGES_5, Towson MD, 2002. 4D “120-Cell”
Modular Minimal Surfaces of Increasing Genus, Embedded in a Cube Volution_0 Volution_5
Whirled White Web: Art & Math in SnowSnow-sculpting,Breckenridge, CO, 2003
The Winners 1st: Canada – B.C., 2nd: USA – Minnesota, 3rd: USA – Breckenridge “… sacred geometry … very intricate … very 21st century !”