chs ucb bid 02/02/02 parameterized sculpture design carlo h. séquin university of california,...
Post on 23-Jan-2016
215 views
TRANSCRIPT
![Page 1: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/1.jpg)
CHSUCB BID 02/02/02BID 02/02/02
ParameterizedSculpture Design
Carlo H. Séquin
University of California, Berkeley
![Page 2: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/2.jpg)
CHSUCB Designs I worked on:Designs I worked on:
![Page 3: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/3.jpg)
CHSUCB Sculpture DesignSculpture Design
How can we use the visualization power offered by computer graphics and by computer-controlled rapid prototyping for the design of geometrical sculptures?
![Page 4: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/4.jpg)
CHSUCB ““Hyperbolic Hexagon” by B. CollinsHyperbolic Hexagon” by B. Collins
6 saddles in a ring
6 holes passing through symmetry plane at ±45º
= “wound up” 6-story Scherk tower
What would happen, if we added more stories ?
or introduced a twist before closing the ring ?
![Page 5: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/5.jpg)
CHSUCB ““Hyperbolic Hexagon II” (wood)Hyperbolic Hexagon II” (wood)
Brent Collins
![Page 6: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/6.jpg)
CHSUCB Scherk’s 2nd Minimal SurfaceScherk’s 2nd Minimal Surface
Normal“biped”saddles
Generalization to higher-order saddles(monkey saddle)
![Page 7: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/7.jpg)
CHSUCB Closing the LoopClosing the Loop
straight
or
twisted
![Page 8: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/8.jpg)
CHSUCB Sculpture Generator, GUI Sculpture Generator, GUI
![Page 9: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/9.jpg)
CHSUCB Brent Collins’ Prototyping ProcessBrent Collins’ Prototyping Process
Armature for the "Hyperbolic Heptagon"
Mockup for the "Saddle Trefoil"
Time-consuming ! (1-3 weeks)
![Page 10: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/10.jpg)
CHSUCB A Simple Scherk-Collins ToroidA Simple Scherk-Collins Toroid
Parameters:(genome)
branches = 2 stories = 1 height = 5.00 flange = 1.00 thickness = 0.10 rim_bulge = 1.00 warp = 360.00 twist = 90 azimuth = 90 textr_tiles = 3 detail = 8
![Page 11: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/11.jpg)
CHSUCB Also a Scherk-Collins ToroidAlso a Scherk-Collins Toroid
branches = 1 stories = 5 height = 1.00 flange = 1.00 thickness = 0.04 rim_bulge = 1.01 warp = 360 twist = 900 azimuth = 90 textr_tiles = 1 detail = 20
![Page 12: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/12.jpg)
CHSUCB A Scherk Tower A Scherk Tower (on its side)(on its side)
branches = 7 stories = 3 height = 0.2 flange = 1.00 thickness = 0.04 rim_bulge = 0 warp = 0 twist = 0 azimuth = 0 textr_tiles = 2 detail = 6
![Page 13: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/13.jpg)
CHSUCB 180º Arch = Half a Scherk Toroid180º Arch = Half a Scherk Toroid
branches = 8 stories = 1 height = 5 flange = 1.00 thickness = 0.06 rim_bulge = 1.25 warp = 180 twist = 0 azimuth = 0 textr_tiles = e detail = 12
![Page 14: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/14.jpg)
CHSUCB V-artV-art
VirtualGlassScherkTowerwithMonkeySaddles
(Radiance 40 hours)
Jane Yen
![Page 15: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/15.jpg)
CHSUCB Séquin’s “Minimal Saddle Trefoil”Séquin’s “Minimal Saddle Trefoil”
Stereo-lithography master
![Page 16: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/16.jpg)
CHSUCB
Minimal Trefoils -- cast and Minimal Trefoils -- cast and finished by Steve Reinmuthfinished by Steve Reinmuth
![Page 17: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/17.jpg)
CHSUCB Slices through “Minimal Trefoil”Slices through “Minimal Trefoil”
50% 10%23%30%
45% 5%20%27%
35% 2%15%25%
![Page 18: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/18.jpg)
CHSUCB Emergence of the “Heptoroid” (1)Emergence of the “Heptoroid” (1)
Assembly of the precut boards
![Page 19: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/19.jpg)
CHSUCB Another Joint SculptureAnother Joint Sculpture
“Heptoroid”carved by Brent Collins
![Page 20: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/20.jpg)
CHSUCB Advantages of CAD of SculpturesAdvantages of CAD of Sculptures
Exploration of a larger domain
Instant visualization of results
Eliminate need for prototyping
Create virtual reality pictures
Making more complex structures
Better optimization of chosen form
More precise implementation
Rapid prototyping of maquettes
![Page 21: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/21.jpg)
CHSUCB Rapid Prototyping by FDMRapid Prototyping by FDM
![Page 22: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/22.jpg)
CHSUCB Various “Scherk-Collins” SculpturesVarious “Scherk-Collins” Sculptures
![Page 23: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/23.jpg)
CHSUCB Parameterized Sculpture FamiliesParameterized Sculpture Families
Within the domain of a sculpture generator, vary selectively 1 to 3 parameters, and create the resulting instances:
Scherk Collins toroids “Trefoil Family”
Pax Mundy “Viae Globi”
![Page 24: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/24.jpg)
CHSUCB Family of Symmetrical TrefoilsFamily of Symmetrical Trefoils
W=2
W=1
B=1 B=2 B=3 B=4
![Page 25: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/25.jpg)
CHSUCB Close-up of Some TrefoilsClose-up of Some Trefoils
B=1 B=2 B=3
Varying the number of branches B (the order of the saddles).
![Page 26: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/26.jpg)
CHSUCB Higher-order Trefoils Higher-order Trefoils (4th order saddles)(4th order saddles)
W=1 (Warp) W=2
![Page 27: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/27.jpg)
CHSUCB 9-story Intertwined Double-Toroid9-story Intertwined Double-Toroid
Bronzeinvestment casting from wax original made on 3D Systems’“Thermojet”
![Page 28: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/28.jpg)
CHSUCB
Inspiration: Inspiration:
Brent Collins’ Brent Collins’
“Pax Mundi”“Pax Mundi”
![Page 29: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/29.jpg)
CHSUCB Sculptures by Naum GaboSculptures by Naum Gabo
Pathway on a sphere:
Edge of surface is like seam of tennis ball;
2-period Gabo curve.
![Page 30: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/30.jpg)
CHSUCB 2-period Gabo curve2-period Gabo curve
Approximation with quartic B-splinewith 8 control points per period,but only 3 DOF are used.
![Page 31: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/31.jpg)
CHSUCB 4-period Gabo curve4-period Gabo curve
Same construction as for as for 2-period curve
![Page 32: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/32.jpg)
CHSUCB ““Pax Mundi” RevisitedPax Mundi” Revisited
Can be seen as:
Amplitude modulated, 4-period Gabo curve
![Page 33: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/33.jpg)
CHSUCB SLIDE-UI for “Pax Mundi” ShapesSLIDE-UI for “Pax Mundi” Shapes
![Page 34: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/34.jpg)
CHSUCB Parameterized Sculpture DesignParameterized Sculpture Design
3 Phases: Discover and distill out the key paradigm
Define the most appropriate set of parameters
Develop generalizations of the paradigm
The Program is the Design, is the Artwork!
![Page 35: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/35.jpg)
CHSUCB Via Globi 3 (Stone)Via Globi 3 (Stone)
Wilmin Martono
![Page 36: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/36.jpg)
CHSUCB ““Maloja” -- FDM partMaloja” -- FDM part
A rather winding Swiss mountain pass road in the upper Engadin.
![Page 37: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/37.jpg)
CHSUCB ““Stelvio”Stelvio”
An even more convoluted alpine pass in Italy.
![Page 38: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/38.jpg)
CHSUCB ““Altamont”Altamont”
Celebrating American multi-lane highways.
![Page 39: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/39.jpg)
CHSUCB ““Lombard”Lombard”
A very famous crooked street in San Francisco
![Page 40: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/40.jpg)
CHSUCB ConclusionsConclusions
Design as an aesthetic optimizationin the purely geometrical realm.
The computer can also bean amplifier / acceleratorfor the creative process.
![Page 41: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/41.jpg)
CHSUCB Questions ?Questions ?
THE ENDTHE END
![Page 42: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/42.jpg)
CHSUCB EXTRASEXTRAS
![Page 43: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/43.jpg)
CHSUCB Another Inspiration by B. CollinsAnother Inspiration by B. Collins
![Page 44: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/44.jpg)
CHSUCB Collin’s Conceptual DesignCollin’s Conceptual Design
SWEEP CURVE (FOR DOUBLE CYLINDER)IS COMPOSED OF 4 IDENTICAL SEGMENTS,FOLLOWS THE SURFACE OF A SPHERE.
![Page 45: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/45.jpg)
CHSUCB Reconstruction / Analysis (v1)Reconstruction / Analysis (v1)
AWKWARD ALIGNMENT
FROM THE FDM MACHINE
![Page 46: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/46.jpg)
CHSUCB Further Explorations (v2: add twist)Further Explorations (v2: add twist)
![Page 47: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/47.jpg)
CHSUCB A More Complex Design (v3)A More Complex Design (v3)
![Page 48: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/48.jpg)
CHSUCB Fine-tuned Final(?) Version (v5)Fine-tuned Final(?) Version (v5)
![Page 49: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/49.jpg)
CHSUCB Galapagos-6 (v6)Galapagos-6 (v6)
![Page 50: CHS UCB BID 02/02/02 Parameterized Sculpture Design Carlo H. Séquin University of California, Berkeley](https://reader036.vdocuments.mx/reader036/viewer/2022062519/56649d405503460f94a19a7c/html5/thumbnails/50.jpg)
CHSUCB Circle Splines on the SphereCircle Splines on the Sphere
Examples from Jane Yen’s Editor Program