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OZONE Meeting, SIGGRAPH 2003

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

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  1. OZONE Meeting, SIGGRAPH 2003 mathematics & art Carlo H. Séquin U.C. Berkeley

  2. I am a Designer, Engineer … CCD Camera, Bell Labs, 1973 Soda Hall, Berkeley, 1994 RISC chip, Berkeley, 1981 “Octa-Gear”, Berkeley, 2000

  3. “Artistic Geometry” The role of the computer in: • the creative process, • aesthetic optimization. Collaboration with…

  4. Virtual Model Making for Mathematically Inspired SculpturesArt-Math'97, SUNY, Albany, 1997. B. Collins “Hyperbolic Hexagon II ”

  5. Closing the Loop straight or twisted

  6. Brent Collins’ Prototyping Process Mockup for the "Saddle Trefoil" Armature for the "Hyperbolic Heptagon" Time-consuming ! (1-3 weeks)

  7. “Sculpture Generator I”, GUI

  8. V-art VirtualGlassScherkTowerwith MonkeySaddles(Radiance 40 hours) Jane Yen

  9. Art, Math, and ComputersBRIDGES’98, Winfield KS, July 29, 1998

  10. Virtual Prototyping of Geom. SculpturesComputers & Sculpture, Chicago,1998. Solar Arch (with Brent Collins)

  11. Collins’ Fabrication Process Wood master patternfor sculpture Layered laminated main shape Example: “Vox Solis”

  12. Slices through “Minimal Trefoil” 50% 30% 23% 10% 45% 27% 20% 5% 35% 25% 15% 2%

  13. 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.

  14. Emergence of the “Heptoroid” (1) Assembly of the precut boards

  15. Emergence of the “Heptoroid” (2) Forming a continuous smooth edge

  16. Emergence of the “Heptoroid” (3) Smoothing the whole surface

  17. The Finished “Heptoroid” • at Fermi Lab Art Gallery (1998).

  18. Various “Scherk-Collins” Sculptures

  19. Hyper-Sculpture: “Family of 12 Trefoils” W=2 W=1 B=1 B=2 B=3 B=4

  20. Computer-Augmented InspirationISAMA 99, San Sebastian, 1999. Doubly-wound Scherk-Collins Toroid

  21. “Cohesion” SIGGRAPH’2003 Art Gallery

  22. Analogies from 2D to 3D: Exercises in Disciplined CreativityBRIDGES, Winfield KS, 1999. 3D Yin-Yang

  23. Turning Math Models into SculpturesMOSAIC 2000, Seattle, 2000. Triply Twisted Figure-8 Klein Bottle

  24. Symmetries on the SphereISIS Symmetry Congress, Sydney, 2001. 60 Butterflies

  25. Viae Globi - Pathways on a SphereMathematics and Design, Geelong, 2001.

  26. Sculpture DesignVirtual Systems & Multimedia,Berkeley, 2001 Galapagos (version 5), inspired by Brent Collins

  27. 3D Visualization Models of the RegularPolytopes in  4 DBRIDGES_5, Towson MD, 2002. 4D “120-Cell”

  28. Volution’s EvolutionMeeting Alhambra, Granada, 2003

  29. Modular Minimal Surfaces of Increasing Genus, Embedded in a Cube Volution_0 Volution_5

  30. Whirled White Web: Art & Math in SnowSnow-sculpting,Breckenridge, CO, 2003

  31. The Winners 1st: Canada – B.C., 2nd: USA – Minnesota, 3rd: USA – Breckenridge “… sacred geometry … very intricate … very 21st century !”

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