“ d m m d i ” 2015

1. “d m m d i” 2015 “I made the data” Carlo H. Séquin University of California, Berkeley

2. Basel, Switzerland

3. Logarithmic Spiral Jakob Bernoulli (1654‒1705)

4. Leonhard Euler (1707‒1783) Imaginary Numbers

5. Descriptive Geometry

6. Who Am I ? I don’t like “BIG DATA”! I am more of an engineer than a statistician. I like small, relevant info – under my control. Then I let the computer generate the needed detailed data derived from my specifications. I like to keep things simple and concise.

7. Keep It Simple, Stupid!applied to microcomputersReduced Instruction Set Computers

8. Geometry in every assignment . . . CCD TV Camera (1973) Soda Hall (1992) RISC 1 MicroChip (1982) Octa-Gear (2000)

9. Recent Designs and Models Hilbert-Cube_3D Double-Boy Klein-bottle Pax Mundi Evolving Trefoil

10. Brent Collins (1997) “Hyperbolic Hexagon II”

11. Brent Collins: Stacked Saddles All photos by Phillip Geller

12. The Math in Collins’ Sculptures • Collins works with rulers and compasses;any math in his early work is intuitive. • He is inspired by nature,e.g. soap films (= minimal area surfaces). • Prof. George Francis:“Connection to math. Minimal Surfaces!”

13. Scherk’s 2nd Minimal Surface (1834) • The central part of this is a “Scherk Tower.”

14. Generalizing the “Scherk Tower” Normal “biped” saddles Generalization to higher-order saddles(“Monkey saddle”) “Scherk Tower”

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

16. Brent Collins: Hyperbolic Hexagon Six balanced saddles in a circular ring. Inspired by the shape of a soap filmsuspended in a wire frame. = Deformed “Scherk Tower”.

17. Sculpture Generator 1, GUI

18. Shapes from Sculpture Generator 1

19. Some Scherk-Collins FDM Models

20. Hyper-sculpture: Family of 12 Trefoils W=2 W=1 B=1 B=2 B=3 B=4

21. “Hyperbolic Heptagon” (1997)

22. Profiled Slice through “Heptoroid” • One thick slicethru sculpture,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.

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

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

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

26. The Finished Heptoroid • at Fermi Lab Art Gallery (1998).

27. Snowsculpting Championships 2003 Silver Medal Winner: “Whirled White Web”(C. Séquin, S. Wagon, D. Schwalbe, B. Collins, S. Reinmuth)

28. 12:40 pm -- 42° F

29. 12:41 pm -- 42° F

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

32. Yet Another Medium: Stone Progress picture from Dingli Stone Carving Art Co., SE China

33. Spring, 2012

38. An Evolution of Ideas and Forms

39. “Evolving Trefoil”

40. Modular Geometry 6 inches

41. Three FDM Modules Assembled

42. Master Module and Mold 8 fiberglass pieces bolted together Milled foam core coated with clay

43. More on Mold Construction Framework of steel rebar gives overall rigidity, stability

44. Formation of a Main Sculpture Module

45. Sealed-off Mold (Catalyzed Matrix Inside)

46. Fabricate 6 Identical Pieces Nova Blue Studio Arts, Seymour, MO 6 identical pieces had to be fabricated in this very labor-intensive way!

47. Tentative Assembly of Three Units