Art & Science UCB DeCal, September 17, 2013 Carlo H. Séquin University of California, Berkeley.
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Transcript of Art & Science UCB DeCal, September 17, 2013 Carlo H. Séquin University of California, Berkeley.
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Art & Science
UCB DeCal, September 17, 2013UCB DeCal, September 17, 2013
Carlo H. Séquin
University of California, Berkeley
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SCIENCESCIENCEARTART
MATHMATH
DESIGNDESIGN
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What came first: Art or Mathematics ?What came first: Art or Mathematics ?
Question posed Nov. 16, 2006 by Dr. Ivan Sutherland“father” of computer graphics (SKETCHPAD, 1963).
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Early “Free-Form” ArtEarly “Free-Form” Art
Cave paintings, Lascaux Venus von Willendorf
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Regular, Geometric ArtRegular, Geometric Art
Early art: Patterns on bones, pots, weavings...
Mathematics (geometry) to help make things fit:
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Another Question:Another Question:
What came first: Art or Science?
What is Art ? -- What do artists do ?
What is Science ? -- What do scientists do ?
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What is the Difference . . .What is the Difference . . .
between between ArtArt and and DesignDesign ? ?
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Art? -- or Design? -- or What?Art? -- or Design? -- or What?
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Art? -- or Design? -- or What?Art? -- or Design? -- or What?
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Unfinished Construction Site ?Unfinished Construction Site ?
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Clearly Something Special . . .Clearly Something Special . . .
Art? or Design?
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Art or Wallpaper ?Art or Wallpaper ?
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Art? -- or Design? -- or What?Art? -- or Design? -- or What?
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Another Mysterious ObjectAnother Mysterious Object
Propeller for a submarin ?
Grinder head for tunnel boring ?
Galactic force concentrator ?
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My Background: Geometry ! My Background: Geometry !
Descriptive Geometry – love since high school
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Descriptive GeometryDescriptive Geometry
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40 Years of Geometry and Design40 Years of Geometry and Design
CCD TV Camera Soda Hall
RISC 1 Computer Chip Octa-Gear (Cyberbuild)
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More Recent CreationsMore Recent Creations
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Aurora SculpturesAurora Sculptures
Inspired by the curtain- or ribbon-like Northern Lights
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Torus-Knot_5,3Torus-Knot_5,3
Inspired by a well defined type of mathematical knot
Torus-Knot_3,5
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A Special ResultA Special Result
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The Process: (The Process: (For Scherk-Collins ToroidsFor Scherk-Collins Toroids))
InspirationalModel
GenerativeParadigm
ComputerProgram
Many NewModels
Insight,Analysis
Math,Geometry
Selection,Design
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Scherk-Collins ToroidsScherk-Collins Toroids
Collaboration with sculptor Brent Collins: “Hyperbolic Hexagon” 1994 “Hyperbolic Hexagon II”, 1996 “Heptoroid”, 1998
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Brent Collins: Brent Collins: Hyperbolic HexagonHyperbolic Hexagon
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ScherkScherk’’s 2nd Minimal Surfaces 2nd Minimal Surface
2 planes the central core 4 planesbi-ped saddles 4-way saddles
= “Scherk tower”
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ScherkScherk’’s 2nd Minimal Surfaces 2nd Minimal Surface
Normal“biped”saddles
Generalization to higher-order saddles(monkey saddle)“Scherk Tower”
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V-artV-art(1999)(1999)
VirtualGlassScherkTowerwithMonkeySaddles
(Radiance 40 hours)
Jane Yen
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Closing the LoopClosing the Loop
straight
or
twisted
“Scherk Tower” “Scherk-Collins Toroids”
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Sculpture Generator 1Sculpture Generator 1, GUI , GUI
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Shapes from Shapes from Sculpture Generator 1Sculpture Generator 1
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Inauguration Sutardja Dai Hall 2/27/09Inauguration Sutardja Dai Hall 2/27/09
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The Finished The Finished HeptoroidHeptoroid
at Fermi Lab Art Gallery (1998).
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2003: 2003: ““Whirled White WebWhirled White Web””
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12:40 pm -- 4212:40 pm -- 42° F° F
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12:41 pm -- 4212:41 pm -- 42° F° F
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““WWWWWW”” Wins Silver Medal Wins Silver Medal
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Brent Collins and David LynnBrent Collins and David Lynn
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Sculpture Generator #2Sculpture Generator #2
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Tentative Assembly of Three UnitsTentative Assembly of Three Units
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Yet Another Medium: Yet Another Medium: StoneStone
“The Three Pillars of Engineering”Math – Materials – Physics(Science)
Sponsored by Paul Suciu (EECS alum)
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Spring, 2012Spring, 2012
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Inauguration Sutardja Dai Hall 2/27/09Inauguration Sutardja Dai Hall 2/27/09
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The The Viae Globi Viae Globi SeriesSeries
Another example how one special piece of artled to a computer program, which then allowed me to make a whole series of sculpture designs that all seem to belong to the same family.
(Roads on a Sphere)
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Brent Collins’ Brent Collins’ Pax MundiPax Mundi
1997: wood, 30”diam.1997: wood, 30”diam.
2006: Commission from H&R Block, Kansas Cityto make a 70”diameter
version in bronze.
My task: Define the master geometry.
CAD tools play important role!
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How to Model How to Model Pax MundiPax Mundi ... ...
Already addressed that question in 1998:
Pax Mundi could not be done with Sculpture Generator I
Needed a more general program !
Used the Berkeley SLIDE environment.
First: Needed to find the basic paradigm
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Sculptures by Naum GaboSculptures by Naum Gabo
Pathway on a sphere:
Edge of surface is like seam of tennis- or base-ball;
“2-period Gabo curve.”
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2-period “Gabo Curve”2-period “Gabo Curve”
Approximation with quartic B-splinewith 8 control points per period,but only 3 DOF are used (symmetry!).
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4-period “Gabo Curve”4-period “Gabo Curve”
Same construction as for as for 2-period curve
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Pax MundiPax Mundi Revisited Revisited
Can be seen as:
Amplitude modulated, 4-period Gabo curve
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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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2-period Gabo Sculpture2-period Gabo Sculpture
Tennis ball – or baseball –
seam used as
sweep curve.
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Viae Globi Viae Globi Family Family (Roads on a Sphere)(Roads on a Sphere)
2 3 4 5 periods
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Via Globi 5Via Globi 5 (Virtual Wood) (Virtual Wood)
Wilmin Martono
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Modularity of Modularity of Gabo Sweep GeneratorGabo Sweep Generator
Sweep Curve Generator:
Gabo Curves as B-splines
Cross Section Fine Tuner:
Paramererized shapes
Sweep / Twist Controller
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Sweep / Twist ControlSweep / Twist Control
How do we orient, move, scale, morph ...the cross section along the sweep path ?
Natural orientationwith Frenet frame
Torsion Minimization:Azimuth: tangential / normal
900° of twistadded.
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Target GeometryTarget Geometry(2007)(2007)
Constraints:• Bronze, 70” diameter• Less than 1500 pounds• Less than $50’000• Maintain beauty, strength• Minimize master geometry
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Emulation; Define Master PatternEmulation; Define Master Pattern
Use 4 copies.
Master to make a mold from.
Alignment tab
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Joe ValasekJoe Valasek’’s CNC Milling Machines CNC Milling Machine
Styrofoam milling machine
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Machined Master Pattern #2Machined Master Pattern #2
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(Cut) Master (Cut) Master Silicone Rubber MoldSilicone Rubber Mold
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MoldMold Several (4) Wax Copies Several (4) Wax Copies
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SpruingSpruing the the Wax PartsWax Parts for Casting for Casting
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Ceramic Slurry ShellCeramic Slurry Shell Around Wax Part Around Wax Part
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Taking the Taking the ShellShell out of the out of the KilnKiln
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ShellShell Ready Ready for Castingfor Casting
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The The PourPour
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Casting with Casting with Liquid BronzeLiquid Bronze
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Freeing the Freeing the Bronze CastBronze Cast
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Assembling the SegmentsAssembling the Segments
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The The ““GrowingGrowing”” Ribbon Ribbon
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Assembly CompletedAssembly Completed
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Front Door of the ...Front Door of the ...
H&R Block Building
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Steve ReinmuthSteve Reinmuth, , Bronze Studio, Eugene ORBronze Studio, Eugene OR
http://www.reinmuth.com/
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Team effort: Brent Collins, Steve Reinmuth, Carlo Séquin
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The Process: Example: The Process: Example: Pax MundiPax Mundi
WoodPax Mundi
Sweep curve on a
sphere
ViaGlobi
frameworkIn SLIDE
Bronze Pax Mundi
InspirationalModel
GenerativeParadigm
ComputerProgram
Many NewModels
Insight,Analysis
Math,Geometry
Selection,Design
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Extension:Extension: Free-form Curve on a Sphere Free-form Curve on a Sphere
Spherical Spline Path Editor (Jane Yen)
Smooth interpolating curve through sparse data points
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Many Different Many Different Viae GlobiViae Globi ModelsModels
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Music of the Spheres (Brent Collins)
Paradigm Extension:Paradigm Extension: Sweep Path Sweep Path is no longer confined to a sphere!is no longer confined to a sphere!
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Partitioning; Joint DesignPartitioning; Joint Design
18 pieces:fit in kiln!
1/3 = uniquegeometry
Alignment stubsAlignment stubs
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Some Segments Will Be Cast HollowSome Segments Will Be Cast Hollow
This needs a double-walled
tube mold!
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Some of the Hollow Metal PartsSome of the Hollow Metal Parts
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Assembly of Assembly of Music of the SpheresMusic of the Spheres
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Installation at MWSU, Feb. 2013Installation at MWSU, Feb. 2013
Steve Reinmuth Brent Collins
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Illuminated Illuminated Music of the SpheresMusic of the Spheres
Photo by Phillip Geller
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ConclusionsConclusions
Knotted and twisted structures play an important role in many areas of physics and the life sciences.
They also make fascinating art-objects . . .
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Is It Math ?Is It Math ?Is It Art ?Is It Art ?
it is:
“KNOT-ART”
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QUESTIONS ?QUESTIONS ?
?