1. Carlo H. Séquin u (Descriptive) Geometry – my love since high school

2. 2D Geometry (Chip Layouts) Bell Labs, 1973: U.C. Berkley 1982: CCD Camera RISC microcomputer

3. 3D Geometry Berkeley, 1994: U.C. Berkley 1996: Soda Hall CyberCut – CyberBuild (WalkThru) (RP models and toys)

4. Art - Math Connection ISAMA & Bridges Conferences (1998-2008) MOSAIC 2000 (David Salesin, Univ. of WA)

5. Metal Sculpture at SIGGRAPH 2006

6. Artistic Geometry Brent Collins 1997

7. Inspiration: Brent Collins’ Pax Mundi (1997)

8. SLIDE-GUI for “Pax Mundi” Shapes Good combination of interactive 3D graphics and parameterizable procedural constructs.

9. Viae Globi : ( roads on a sphere ) Collins: Pax Mundi (1997)Séquin: Maloja (2001)

10. Emulation of Solstice (with J. Hamlin) The thick rail forms a {3,2} torus knot; there are 400 ribs inside

11. Parameter Changes u Go from {3,2} torus knot to {2,3} torus knot

12. Ph.D. Thesis of James Andrews Extracting the Generating Paradigms u Find a decomposition into simpler parameterizable entities, e.g., CSG primitives, generalized sweeps, curved surfaces...

13. Ph.D. Thesis by Raph Levien Interpolating Designer Curves (≈MVC) u Euler spirals (clothoids, Cornu spirals) u for interactive font design (and other CAD) k  s

14. Ph.D. Thesis by Pushkar Joshi Surface Optimization – New Functionals Things get worse for MES as we go to higher genus Genus-5 MES MVS yields nice toroidal arms 3 holes pinch off S L O W ! Better surface representation ?

15. Volution Surface of Genus 2 Suspended by 12 quarter circles on 6 cube faces

16. Architectural Geometry Volution blocks as modular wall elements

17. Architectural Geometry Möbius Bridge and Möbius House

18. 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 …