CS 184, 5/11/2009CS 184, 5/11/2009
My Own Use of
Computer Graphics
Carlo H. Séquin
University of California, Berkeley
Brent CollinsBrent Collins
“Hyperbolic Hexagon II”
Brent Collins: Stacked SaddlesBrent Collins: Stacked Saddles
““Hyperbolic Hexagon” by B. CollinsHyperbolic 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 ?
Scherk’s 2nd Minimal SurfaceScherk’s 2nd Minimal Surface
Normal“biped”saddles
Generalization to higher-order saddles(monkey saddle)“Scherk Tower”
Closing the LoopClosing the Loop
straight
or
twisted
“Scherk Tower” “Scherk-Collins Toroids”
Sculpture Generator 1Sculpture Generator 1, GUI , GUI
Slices through Slices through Minimal TrefoilMinimal Trefoil
50% 10%23%30%
45% 5%20%27%
35% 2%15%25%
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.
Profiled Slice through Profiled Slice through HeptoroidHeptoroid
Emergence of the Emergence of the Heptoroid Heptoroid (1)(1)
Assembly of the precut boards
Emergence of the Emergence of the HeptoroidHeptoroid (2) (2)
Forming a continuous smooth edge
Emergence of the Emergence of the HeptoroidHeptoroid (3) (3)
Smoothing the whole surface
The Finished The Finished HeptoroidHeptoroid
at Fermi Lab Art Gallery (1998).
Various “Scherk-Collins” SculpturesVarious “Scherk-Collins” Sculptures
Rapid Prototyping with FDMRapid Prototyping with FDM
A Look Into the FDM MachineA Look Into the FDM Machine
Galapagos 6 sculpture in progress
2 NOZZLES
Extending the Paradigm: Extending the Paradigm: Totem 3Totem 3
Bronze Investment Cast
The Team: “Whirled White Web” (C. Séquin, S. Wagon, D. Schwalbe, B. Collins, S. Reinmuth)
Snowsculpting Championships 2003Snowsculpting Championships 2003
Removing lots of snow …
Day 1Day 1
Day 2: Making a TorusDay 2: Making a Torus
Day 3, pm: Carving Flanges, Holes Day 3, pm: Carving Flanges, Holes
Day 4: Geometry RefinementDay 4: Geometry Refinement
“Devil’s Toothbrush”
Day 5, am: Surface RefinementDay 5, am: Surface Refinement
12:40 pm -- 4212:40 pm -- 42° F° F
12:41 pm -- 4212:41 pm -- 42° F° F
““WWW” Wins Silver MedalWWW” Wins Silver Medal
Brent Collins’ Brent Collins’ Pax MundiPax Mundi
1997: wood, 30”diam.1997: wood, 30”diam.
2006: Commission from H&R Block, Kansas Cityto make a 70”diameter version in bronze.
My task: to define the master geometry.
CAD tools played important role.
Emulation; Define Master PatternEmulation; Define Master Pattern
Use 4 copies.
Master to make a mold from.
Alignment tab
Design of Two-Part MasterDesign of Two-Part Master
Alignment tabs for easy assembly
Subdivide into Subdivide into TwoTwo Master Segments Master Segments
Joe Valasek’s CNC Milling MachineJoe Valasek’s CNC Milling Machine
Styrofoam milling machine
Machined Master Pattern #2Machined Master Pattern #2
(Cut) Master (Cut) Master Silicone Rubber MoldSilicone Rubber Mold
MoldMold Several (4) Wax Copies Several (4) Wax Copies
SpruingSpruing the the Wax PartsWax Parts for Casting for Casting
Ceramic Slurry ShellCeramic Slurry Shell Around Wax Part Around Wax Part
ShellShell Ready Ready for Castingfor Casting
Casting with Casting with Liquid BronzeLiquid Bronze
The Freed The Freed Bronze CastBronze Cast
Assembling the SegmentsAssembling the Segments
The “Growing” RibbonThe “Growing” Ribbon
Applying PatinaApplying Patina
Front Door of the ...Front Door of the ...
H&R Block Building
The Final DestinationThe Final Destination
Steve Reinmuth Tightening the BoltsSteve Reinmuth Tightening the Bolts
Brent Collins Polishing Our BabyBrent Collins Polishing Our Baby
Thanks to Steve Reinmuth ...Thanks to Steve Reinmuth ...
for creating the beautiful patinas,
for the fabrication photographs.
Questions ?Questions ?