Carlo H. Squin

1
Carlo H. Séquin

• (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 graphicsand
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

• Go from 3,2 torus knot to 2,3 torus knot

12
Ph.D. Thesis of James AndrewsExtracting the
Generating Paradigms

• Find a decomposition into simpler parameterizable
  entities, e.g., CSG primitives, generalized
  sweeps, curved surfaces . . .

13
Ph.D. Thesis by Raph LevienInterpolating
Designer Curves (MVC)
k ? s

• Euler spirals (clothoids, Cornu spirals)
• for interactive font design (and other CAD)

14
Ph.D. Thesis by Pushkar Joshi Surface
Optimization New Functionals
S L O W ! Better surface representation ?
pinch off
3 holes
Genus-5 MES

• Things get worse for MES
• as we go to higher genus

MVS yields nice toroidal arms
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
• Mimick the best of clay, wire, paper,
  scotch-tape, styrofoam
• Without the adversity of messy glue, gravity,
  strength limits
• 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