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Geometry in Sculpture Creation: A Creative Process Unveiled

Explore the intricate process of shaping bronze sculptures like "Pax Mundi" through geometry and physics, revealing the artistry behind the final masterpiece.

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Geometry in Sculpture Creation: A Creative Process Unveiled

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  1. ZUERICH, July 4, 2012 Shape Realization Carlo H. Séquin University of California, Berkeley

  2. Center for Information Technology Research in the Interest of Society

  3. A few typical spaces . . . Small conference room Signature conference room (sixth floor) Entrance corridor Entrance to main auditorium

  4. Main Auditorium (third floor)

  5. CITRIS: Digging a Hole

  6. Pouring the Mud Slab

  7. Wall Construction: ReBar

  8. Steel Frame Rising

  9. Fearless Steel Workers

  10. Facade Going Up

  11. Building Almost Complete

  12. Complex Work on the Interior

  13. Brent Collins’“Pax Mundi”1997: wood, 30”diam. 2006: Commission from H&R Block, Kansas City to make a 70”diameter version in bronze. My task: to define the master geometry.

  14. Target Geometry • Constraints: • Bronze; 70” diameter • Less than 1500 pounds • Less than $50’000 • Maintain beauty, strength • Minimize master geometry

  15. SLIDE-GUI for “Pax Mundi” Shapes Good combination of interactive 3D graphicsand parameterizable procedural constructs.

  16. Sculptures by Naum Gabo Pathway on a sphere: Edge of surface is like seam of tennis- or base-ball;  2-period Gabo curve.

  17. 2-period “Gabo Curve” • Approximation with quartic B-splinewith 8 control points per period,but only 3 DOF are used (symmetry!).

  18. 4-period “Gabo Curve” Same construction as for as for 2-period curve

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

  20. 2-period Gabo sculpture Tennis ball – or baseball – seam used as sweep curve.

  21. “Viae Globi” Family (Roads on a Sphere) 2 3 4 5 periods

  22. Many Different “Viae Globi” Models

  23. Use 4 copies. Emulation; Define Master Pattern • Master to make a mold from. Alignment tab

  24. 4 pieces make the whole sculpture Model of Master Part Made with FDM

  25. Joe Valasek’s CNC Milling Machine • Styrofoam milling machine

  26. Alignment tabs for easy assembly Design of Two-Part Master

  27. Subdivide into Two Master Segments

  28. Machined Master Pattern #2

  29. (Cut) Master  Silicone Rubber Mold

  30. Mold Several (4) Wax Copies

  31. Spruing the Wax Parts for Casting

  32. Ceramic Slurry Shell Around Wax Part

  33. Taking the Shell out of the Kiln

  34. Shell Ready for Casting

  35. The Pour

  36. Casting with Liquid Bronze

  37. Freeing the Bronze Cast

  38. Assembling the Segments

  39. The “Growing” Ribbon

  40. The Assembly is Too Squat !!

  41. Changing the Curvature • PHYSICS is important too ...not just Geometry !

  42. Static Displacement red = maximal, blue = minimal displacement “Pax Mundi”“Music of the Spheres”

  43. Grinding the Welded Seams,Polishing the Surface

  44. Applying Patina

  45. Front Door of the ... H&R Block Building

  46. The Final Destination

  47. Steve Reinmuth Tightening the Bolts

  48. Brent Collins Polishing Our Baby

  49. Team effort: Brent Collins, Steve Reinmuth, Carlo Séquin

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