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: u the creative process, u aesthetic optimization. Collaboration with…

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

5. Closing the Loop straight or twisted

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

7. “Sculpture Generator I”, GUI

8. V-art Virtual Glass Scherk Tower with Monkey Saddles (Radiance 40 hours) Jane Yen

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

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

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

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

13. u One thick slice thru sculpture, from which Brent can cut boards and assemble a rough shape. u Traces represent: top and bottom, as well as cuts at 1/4, 1/2, 3/4 of one board. Profiled Slice through “Heptoroid”

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” u 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 Inspiration ISAMA 99, San Sebastian, 1999. Doubly-wound Scherk-Collins Toroid

21. “Cohesion” SIGGRAPH’2003 Art Gallery

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

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

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

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

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

27. 3D Visualization Models of the Regular Polytopes in  4 D BRIDGES_5, Towson MD, 2002. 4D “120-Cell”

28. Volution’s Evolution Meeting 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 Snow Snow-sculpting, Breckenridge, CO, 2003

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