Below are descriptions of small scale models of sculptures designed
on Sequin's sculpture generator, an interactive computer program with which
various constellations of toroidal rings and arches of saddle-chains can
be investigated and optimized. For more information, contact Carlo
H. Séquin
"Minimal Saddle Trefoil"
Designed by Carlo Sequin with the goal to find the tightest configuration
by which a chain of 3 saddles could be closed into a toroidal ring.
Specifications: 3 stories, 2nd-order saddles, 270 degrees twist.
Realization: 6" diameter, Stereolithography master by Metalcast Engineering;
from which via a 5-part mold a bronze sculpture was cast by Steve Reinmuth.
"Heptoroid"
Designed in collaboration by Carlo Sequin and Brent Collins
as a model for a large wood sculpture.
Specifications: 7 stories, 4th-order saddles, 135 degrees twist.
Realization: 3" diameter, Selective Laser Sintering (SLS);
courtesy Department of Mechanical Engineering, University of Texas
at Austin.
"Monkey Cinquefoil"
Designed by Carlo Sequin with the goal to find a pleasing configuration
of 5 monkey-saddles closed into a toroidal ring with a single edge.
Specifications: 5 stories, 3rd-order saddles, 60 degrees twist.
Realization: 7" diameter, Fused Deposition Modeling (FDM);
courtesy Malmberg Engineering, Livermore, CA.
"Woven Quad"
Designed by Carlo Sequin to demonstrate that structures are possible
that pass twice around the toroidal loop and interlock without intersection.
Specifications: 9 stories, 4th.-order saddles, 45 degrees twist.
Realization: 5" diameter, Fused Deposition Modeling (FDM);
courtesy Stratasys Corporation, San Jose, CA.