1. CS 184, 5/11/2009 My Own Use of Computer Graphics Carlo H. Séquin University of California, Berkeley

2. Brent Collins “Hyperbolic Hexagon II”

3. Brent Collins: Stacked Saddles

4. “Hyperbolic Hexagon” by B. Collins u 6 saddles in a ring u 6 holes passing through symmetry plane at ±45º u = “wound up” 6-story Scherk tower u Discussion: What if … l we added more stories ? l or introduced a twist before closing the ring ?

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

6. Closing the Loop straight or twisted “Scherk Tower”“Scherk-Collins Toroids”

7. Sculpture Generator 1, GUI

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

9. u One thick slice thru sculpture, from which Brent can cut boards and assemble a rough shape. u Traces represent: top and bottom, as well as cuts at 1/4, 1/2, 3/4 of one board. Profiled Slice through Heptoroid

10. Emergence of the Heptoroid (1) Assembly of the precut boards

11. Emergence of the Heptoroid (2) Forming a continuous smooth edge

12. Emergence of the Heptoroid (3) Smoothing the whole surface

13. The Finished Heptoroid u at Fermi Lab Art Gallery (1998).

14. Various “Scherk-Collins” Sculptures

15. Rapid Prototyping with FDM

16. A Look Into the FDM Machine Galapagos 6 sculpture in progress 2 NOZZLES

17. Extending the Paradigm: Totem 3 Bronze Investment Cast

18. The Team: “Whirled White Web” (C. Séquin, S. Wagon, D. Schwalbe, B. Collins, S. Reinmuth) Snowsculpting Championships 2003

19. Removing lots of snow … Day 1

20. Day 2: Making a Torus

21. Day 3, pm: Carving Flanges, Holes

22. Day 4: Geometry Refinement “Devil’s Toothbrush”

23. Day 5, am: Surface Refinement

24. 12:40 pm -- 42° F

25. 12:41 pm -- 42° F

26. “WWW” Wins Silver Medal

27. 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. CAD tools played important role.

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

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

30. Subdivide into Two Master Segments

31. Joe Valasek’s CNC Milling Machine u Styrofoam milling machine

32. Machined Master Pattern #2

33. (Cut) Master  Silicone Rubber Mold

34. Mold  Several (4) Wax Copies

35. Spruing the Wax Parts for Casting

36. Ceramic Slurry Shell Around Wax Part

37. Shell Ready for Casting

38. Casting with Liquid Bronze

39. The Freed Bronze Cast

40. Assembling the Segments

41. The “Growing” Ribbon

42. Applying Patina

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

44. The Final Destination

45. Steve Reinmuth Tightening the Bolts

46. Brent Collins Polishing Our Baby

48. Thanks to Steve Reinmuth... u for creating the beautiful patinas, u for the fabrication photographs.

49. Questions ?