Draft for BRIDGES 2002 Regular Polytopes in Four and Higher Dimensions Carlo H. Séquin.
Carlo H. Séquin u (Descriptive) Geometry – my love since high school.
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Transcript of Carlo H. Séquin u (Descriptive) Geometry – my love since high school.
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Carlo H. SCarlo H. Sééquinquin
(Descriptive) Geometry – my love since high school
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2D Geometry (Chip Layouts)2D Geometry (Chip Layouts)
Bell Labs, 1973: U.C. Berkley 1982:
CCD Camera RISC microcomputer
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3D Geometry3D Geometry
Berkeley, 1994: U.C. Berkley 1996:
Soda Hall CyberCut – CyberBuild (WalkThru) (RP models and toys)
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Art - Math ConnectionArt - Math Connection
ISAMA & Bridges Conferences (1998-2008)
MOSAIC 2000 (David Salesin, Univ. of WA)
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Metal Sculpture at SIGGRAPH 2006Metal Sculpture at SIGGRAPH 2006
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Artistic GeometryArtistic Geometry
Brent Collins 1997
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Inspiration: Inspiration:
Brent Collins’ Brent Collins’
Pax MundiPax Mundi(1997)(1997)
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SLIDE-GUI for “SLIDE-GUI for “Pax MundiPax Mundi” Shapes” ShapesGood combination of interactive 3D graphicsand parameterizable procedural constructs.
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Viae GlobiViae Globi : ( : (roads on a sphereroads on a sphere))
Collins: Pax Mundi (1997) Séquin: Maloja (2001)
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Emulation of Solstice (with J. Hamlin)Emulation of Solstice (with J. Hamlin)
The thick rail forms a {3,2} torus knot; there are 400 ribs inside
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Parameter ChangesParameter Changes
Go from {3,2} torus knot to {2,3} torus knot
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Ph.D. Thesis of James AndrewsPh.D. Thesis of James AndrewsExtracting the Generating ParadigmsExtracting the Generating Paradigms
Find a decomposition into simpler parameterizable entities, e.g., CSG primitives, generalized sweeps, curved surfaces . . .
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Ph.D. Thesis by Raph LevienPh.D. Thesis by Raph LevienInterpolating Designer Curves (Interpolating Designer Curves (≈≈MVC)MVC)
Euler spirals (clothoids, Cornu spirals)
for interactive font design (and other CAD)
k s
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Ph.D. Thesis by Pushkar JoshiPh.D. Thesis by Pushkar Joshi Surface Optimization – New Functionals Surface Optimization – New Functionals
Things get worse for MES
as we go to higher genus
Genus-5 MES
MVSyields nice toroidal arms
3 holes pinch off
S L O W !
Better surface representation?
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VolutionVolution Surface of Genus 2 Surface of Genus 2
Suspended by 12 quarter circles on 6 cube faces
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Architectural GeometryArchitectural Geometry
Volution blocks as modular wall elements
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Architectural GeometryArchitectural Geometry
Möbius Bridge and Möbius House
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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 …