BID 02/02/02

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BID 02/02/02

• ParameterizedSculpture Design
• Carlo H. Séquin
• University of California, Berkeley

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Designs I worked on
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Sculpture Design

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

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Hyperbolic 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 ?

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Hyperbolic Hexagon II (wood)
Brent Collins
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Scherks 2nd Minimal Surface
Normal biped saddles
Generalization to higher-order saddles(monkey
saddle)
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Closing the Loop
straight or twisted
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Sculpture Generator, GUI
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Brent Collins Prototyping Process
Mockup for the "Saddle Trefoil"
Armature for the "Hyperbolic Heptagon"
Time-consuming ! (1-3 weeks)
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A 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

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Also 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

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A Scherk Tower (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

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180º 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

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V-art
VirtualGlassScherkTowerwith MonkeySaddles(R
adiance 40 hours) Jane Yen
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Séquins Minimal Saddle Trefoil

• Stereo-lithography master

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Minimal Trefoils -- cast and finished by Steve
Reinmuth
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Slices through Minimal Trefoil
50
10
23
30
45
5
20
27
35
2
15
25
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Emergence of the Heptoroid (1)
Assembly of the precut boards
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Another Joint Sculpture

• Heptoroidcarved by Brent Collins

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Advantages 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

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Rapid Prototyping by FDM
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Various Scherk-Collins Sculptures
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Parameterized 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

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Family of Symmetrical Trefoils
W2
W1
B1 B2 B3
B4
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Close-up of Some Trefoils
B1 B2
B3
Varying the number of branches B (the order of
the saddles).
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Higher-order Trefoils (4th order saddles)
W1 (Warp)
W2 ?
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9-story Intertwined Double-Toroid
Bronze investment casting from wax original
made on 3D SystemsThermojet
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Inspiration Brent Collins Pax Mundi
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Sculptures by Naum Gabo

• Pathway on a sphere
• Edge of surface is like seam of tennis ball
• ? 2-period Gabo curve.

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2-period Gabo curve

• Approximation with quartic B-splinewith 8
  control points per period,but only 3 DOF are
  used.

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4-period Gabo curve

• Same construction as for as for 2-period curve

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Pax Mundi Revisited

• Can be seen as Amplitude modulated, 4-period
  Gabo curve

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SLIDE-UI for Pax Mundi Shapes
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Parameterized 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!

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Via Globi 3 (Stone)
Wilmin Martono
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Maloja -- FDM part

• A rather winding Swiss mountain pass road in the
  upper Engadin.

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Stelvio

• An even more convoluted alpine pass in Italy.

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Altamont

• Celebrating American multi-lane highways.

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Lombard

• A very famous crooked street in San Francisco

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Conclusions

• Design as an aesthetic optimizationin the
  purely geometrical realm.
• The computer can also bean amplifier /
  acceleratorfor the creative process.

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Questions ?
THE END
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EXTRAS
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Another Inspiration by B. Collins
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Collins Conceptual Design
SWEEP CURVE (FOR DOUBLE CYLINDER) IS COMPOSED OF
4 IDENTICAL SEGMENTS, FOLLOWS THE SURFACE OF A
SPHERE.
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Reconstruction / Analysis (v1)
FROM THE FDM MACHINE
AWKWARD ALIGNMENT
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Further Explorations (v2 add twist)
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A More Complex Design (v3)
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Fine-tuned Final(?) Version (v5)
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Galapagos-6 (v6)
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Circle Splines on the Sphere

• Examples from Jane Yens Editor Program