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CONTACT, March. 21-23, 2003

Join Carlo Séquin, a designer and professor from the University of California, Berkeley, as he discusses the role of computers in aesthetic optimization and the creative process. Explore the intersection of art, math, and computers in this thought-provoking talk.

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CONTACT, March. 21-23, 2003

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  1. CONTACT, March. 21-23, 2003 Art, Math, Computers, and Creativity Carlo Séquin, University of California, Berkeley

  2. I am a Designer … CCD Camera, Bell Labs, 1973 Soda Hall, Berkeley, 1994 RISC chip, Berkeley, 1981 “Octa-Gear”, Berkeley, 2000

  3. Focus of Talk The role of the computer in: • aesthetic optimization, • the creative process.

  4. Brent Collins “Hyperbolic Hexagon II”

  5. Leonardo -- Special Issue On Knot-Spanning Surfaces: An Illustrated Essay on Topological Art With an Artist’s Statement by Brent Collins George K. Francis with Brent Collins

  6. Brent Collins: Stacked Saddles

  7. Scherk’s 2nd Minimal Surface Normal “biped” saddles Generalization to higher-order saddles(monkey saddle)

  8. “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 ?

  9. Closing the Loop straight or twisted

  10. Brent Collins’ Prototyping Process Mockup for the "Saddle Trefoil" Armature for the "Hyperbolic Heptagon" Time-consuming ! (1-3 weeks)

  11. “Sculpture Generator I”, GUI

  12. 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

  13. 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

  14. 1-story Scherk Tower • branches = 5 • stories = 1 • height = 1.35 • flange = 1.00 • thickness = 0.04 • rim_bulge = 0 • warp = 58.0 • twist = 37.5 • azimuth = 0 • textr_tiles = 8 • detail = 6

  15. 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

  16. V-art VirtualGlassScherkTowerwith MonkeySaddles(Radiance 40 hours) Jane Yen

  17. How to Obtain a Real Sculpture ? • Prepare a set of cross-sectional blue printsat equally spaced height intervals,corresponding to the board thicknessthat Collins is using for the construction.

  18. Collins’ Fabrication Process Wood master patternfor sculpture Layered laminated main shape Example: “Vox Solis”

  19. Slices through “Minimal Trefoil” 50% 30% 23% 10% 45% 27% 20% 5% 35% 25% 15% 2%

  20. Profiled Slice through the Sculpture • One thick slicethru “Heptoroid”from which Brent can cut boards and assemble a rough shape.Traces represent: top and bottom,as well as cuts at 1/4, 1/2, 3/4of one board.

  21. Emergence of the “Heptoroid” (1) Assembly of the precut boards

  22. Emergence of the “Heptoroid” (2) Forming a continuous smooth edge

  23. Emergence of the “Heptoroid” (3) Smoothing the whole surface

  24. The Finished “Heptoroid” • at Fermi Lab Art Gallery (1998).

  25. SFF (Solid Free-form Fabrication) Monkey- Saddle Cinquefoil

  26. Fused Deposition Modeling (FDM)

  27. Zooming into the FDM Machine

  28. Various “Scherk-Collins” Sculptures

  29. Part II Developing Parameterized Sculpture Families (Extending a Paradigm)

  30. Family of Symmetrical Trefoils W=2 W=1 B=1 B=2 B=3 B=4

  31. Close-up of Some Trefoils B=1 B=2 B=3 Varying the number of branches, the order of the saddles.

  32. Higher-order Trefoils (4th order saddles) W=1 (Warp) W=2 

  33. Exploring New Ideas: W=2 • Going around the loop twice ... … resulting in an interwoven structure.

  34. 9-story Intertwined Double Toroid Bronze investment casting fromwax original made on3D Systems’“Thermojet”

  35. Stepwise Expansion of Horizon • Playing with many different shapes and • experimenting at the limit of the domain of the sculpture generator, • stimulates new ideas for alternative shapes and generating paradigms. Swiss Mountains

  36. Note: The computer becomesan amplifier / acceleratorfor the creative process.

  37. Séquin’s “Minimal Saddle Trefoil” • bronze cast, gold plated

  38. Minimal Trefoils -- cast and finished by Steve Reinmuth

  39. Steve Reinmuth

  40. Brent Collins’ “Pax Mundi” A new inspiration

  41. Keeping up with Brent ... • Sculpture Generator Ican only do warped Scherk towers,not able to describe a shape like Pax Mundi. • Need a more general approach ! • Use the SLIDE modeling environment(developed at U.C. Berkeley by J. Smith)to capture the paradigm of such a sculpturein a procedural form. • Express it as a computer program • Insert parameters to change salient aspects / features of the sculpture • First: Need to understand what is going on 

  42. Part III The “Least Understood” Step (Capturing a Paradigm)

  43. Sculptures by Naum Gabo Pathway on a sphere: Edge of surface is like seam of tennis ball;  2-period Gabo curve.

  44. 2-period Gabo Curve • Approximation with quartic B-splinewith 8 control points per period,but only 3 DOF are used.

  45. 4-period Gabo Curve Same construction as for a 2-period curve

  46. “Pax Mundi” Revisited • Can be seen as:Amplitude modulated, 4-period Gabo curve

  47. SLIDE-UI for “Pax Mundi” Shapes

  48. “Viae Globi” Family (Roads on a Sphere) L2 L3 L4 L5

  49. Via Globi 3 (Stone) Wilmin Martono

  50. Via Globi 5 (Wood) Wilmin Martono

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