Graduate Student Visit Day, 03/12/07 Aesthetic Engineering Artistic Geometry Carlo H. Séquin...

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

Graduate Student Visit Day, 03/12/07Graduate Student Visit Day, 03/12/07

Aesthetic Engineering

Artistic Geometry

Carlo H. Séquin

University of California, Berkeley

A designer for 30 years…A designer for 30 years…

CCD TV Camera Soda Hall

RISC 1 Computer Chip Octa-Gear (Cyberbuild)

Geometry is my true love !Geometry is my true love !

MATH

ART

CAD

MATH: Graph-Embedding ProblemsMATH: Graph-Embedding Problems Draw K12 crossing-free

onto a smooth surface with maximal symmetry.

Requires a genus-6 surface.

Light Field of Genus-6 Tiffany LampLight Field of Genus-6 Tiffany Lamp

CAD: Curve and Surface OptimizationCAD: Curve and Surface Optimization

Clothoids (Euler spirals, Cornu spirals)

for interactive font design (and other CAD)

k s

CAD: Surface OptimizationCAD: Surface Optimization

e.g.:minimize area integralover the square of the total change of curvature.

Compare and characterize different possible functionals.

The quest for some “Beauty Functionals”

based on curvature and its derivatives.

(Future) Surface Design Environments(Future) Surface Design Environments

User specifies boundary conditions and possibly other constraints.

User selects a suitable “beauty” functional.

CAD system finds best solution in seconds.

ART: Collaboration with ArtistsART: Collaboration with Artists

How can we use the visualization power offered by computer graphics and by computer-controlled rapid prototyping for the design of geometrical sculptures?

Interaction with Brent Collins (1997)Interaction with Brent Collins (1997)

Hyperbolic Hexagon II

GUI for “Viae Globi” ShapesGUI for “Viae Globi” Shapes

Pax Mundi byBrent Collins

Many Different Many Different Viae GlobiViae Globi Models Models

Pax Mundi 2 Pax Mundi 2 (Kansas City, 2007) (Kansas City, 2007)

5-inch FDM maquette 10-foot bronze sculpture

Ongoing Research InterestOngoing 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 …