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Meeting Alhambra, Granada 2003

Meeting Alhambra, Granada 2003. “Whirled White Web” Art and Math in Snow. Carlo H. Séquin Brent Collins, Steve Reinmuth Dan Schwalbe, Stan Wagon. Brent Collins. “Hyperbolic Hexagon II”. Brent Collins: Stacked Saddles. Scherk’s 2nd Minimal Surface. Normal “biped” saddles.

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Meeting Alhambra, Granada 2003

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  1. Meeting Alhambra, Granada 2003 “Whirled White Web”Art and Math in Snow Carlo H. Séquin Brent Collins, Steve Reinmuth Dan Schwalbe, Stan Wagon

  2. Brent Collins “Hyperbolic Hexagon II”

  3. Brent Collins: Stacked Saddles

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

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

  6. Closing the Loop straight or twisted

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

  8. “Sculpture Generator I”, GUI

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

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

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

  12. 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.

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

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

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

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

  17. Various “Scherk-Collins” Sculptures

  18. Hyper-Sculpture: “Family of 12 Trefoils” W=2 W=1 B=1 B=2 B=3 B=4

  19. “Cohesion” SIGGRAPH’2003 Art Gallery

  20. Stan Wagon, Macalester College, St. Paul, MN • Leader of Team “USA – Minnesota”

  21. Stan Wagon • Skier – Mountaineer – Snow Sculptor

  22. Dan Schwalbe • Software Engineer – Snow Sculptor

  23. Helaman Ferguson Umbilic Torus Costa Surface

  24. Breckenridge, 1999 Helaman Ferguson: “Invisible Handshake”

  25. Breckenridge, CO, 1999 Helaman Ferguson: “Invisible Handshake”

  26. Robert Longhurst Moebius Band Enneper Surface

  27. Breckenridge, 2000 Robert Longhurst: “Rhapsody in White” 2nd Place

  28. Breckenridge,2001 Robert Longhurst: “White Narcissus”

  29. Batsheba Grossman Antipot Antichron

  30. Breckenridge, 2002 Bathsheba Grossman: “A Twist in Time” Honorable Mention “Expressive Impact”

  31. Snow-Sculpting, Breckenridge, 2003 Brent Collins and Carlo Séquin are invited to join the team and to provide a design. Other Team Members: Stan Wagon, Dan Schwalbe, Steve Reinmuth (= Team “Minnesota”)

  32. Steve Reinmuth

  33. Collins’ Initial Suggestion: Minimal Trefoil Stan’s Objection: “Too simple …– we know we can do this.No risk – no fun !”

  34. Monkey Saddle Trefoil from Sculpture Generator I

  35. Maquettes 3D-Print FDM

  36. Name, Story • “Snow Flower, Winter Rose, Winter Whirl, Wild White Whirl, Webbed Wild Whirl, Whirled Wild Web …” • finally the perfect homonym:“Whirled White Web” • Like this global network, the ridges of our sculpture span the outer perimeters of the whole “globe,” and at the same time come close together in the central hole. It illustrates how the WWW can link together people from all over the world.

  37. ACCEPTED ! Now – how do we get this design into a 10’x10’x12’ block of snow ?

  38. Construction Drawings Top View Side View Axial View

  39. Plan of Attack • Cut away 2 large triangular prisms; • Hang plastic template (12’x18’) over slab; • Mark projections of holes, flanges; • Drill, carve, refine …(using maquette for reference) • Try this first on a smaller practice block!

  40. 1:1 Templates Magnified from computer prints with the classical grid method

  41. Practice Block (1) Template transfer Reference holes

  42. Practice Block (2) Free-hand carving  Irregular ribs

  43. Practice Block (3)  Need new plan !

  44. Day 1 Removing lots of snow …

  45. Day 1: The “Monolith” Cut away prisms …

  46. Day 2: Making a Torus Mark center, circles … Bull’s-eye !

  47. Chipping away …

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