1. Graduate Student Visit Day, 03/12/07 Aesthetic Engineering Artistic Geometry Carlo H. Séquin University of California, Berkeley

2. A designer for 30 years… CCD TV Camera Soda Hall RISC 1 Computer Chip Octa-Gear (Cyberbuild)

3. Geometry is my true love ! MATH ART CAD

4. MATH: Graph-Embedding Problems u Draw K 12 crossing-free onto a smooth surface with maximal symmetry.  Requires a genus-6 surface.

5. Light Field of Genus-6 Tiffany Lamp

6. CAD: Curve and Surface Optimization u Clothoids (Euler spirals, Cornu spirals) u for interactive font design (and other CAD) k  s

7. CAD: Surface Optimization u e.g.: minimize area integral over the square of the total change of curvature. u Compare and characterize different possible functionals. The quest for some “Beauty Functionals” based on curvature and its derivatives.

8. (Future) Surface Design Environments u User specifies boundary conditions and possibly other constraints. u User selects a suitable “beauty” functional. u CAD system finds best solution in seconds.

9. ART: Collaboration with Artists u How can we use the visualization power offered by computer graphics and by computer-controlled rapid prototyping for the design of geometrical sculptures?

10. Interaction with Brent Collins (1997) Hyperbolic Hexagon II

11. GUI for “Viae Globi” Shapes Pax Mundi by Brent Collins

12. Many Different Viae Globi Models

13. Pax Mundi 2 (Kansas City, 2007) 5-inch FDM maquette 10-foot bronze sculpture

14. Ongoing Research Interest CAD tools for Ideation, Informal Prototyping: l Mimick the best of: clay, wire, paper, scotch-tape, styrofoam … l Without the adversity of: messy glue, gravity, strength limits … l Make available pseudo-physical materials that bend as nicely as steel wire, and stretch like a nylon hose, but are strong as titanium, and as transparent as quartz …