Part Description and Specifications for
"Saddle Trefoil"
This is a minimal, 3-fold symmetrical version of
a 3-storey Scherk surface bent into a toroid.
-
-
Origin:
This part was generated with Carlo Séquin's
sculpture generator, using the following settings:
- branches = 2
- storeys = 3
- height = 1.40
- flange = 1.25
- twist = 270.00
- azimuth = 45.00
- thickness = 0.05
- rim_bulge = 0.00
- detail = 12 {--> 14,976 triangles}
Usage
This part will serve as a geometrical model
in classes on modeling and math of minimal surfaces,
and as a small scale model for artists,
e.g.,
Brent Collins, who is doing similar sculptures in wood.
It might get exhibited together with its corresponding wood sculpture.
This is part of a research program sponsored by NSF
to streamline the process of rapid prototyping of free form parts,
by defining a clean separation and interface between designers and fabricators.
Fabrication Hints
The scale or strength of this model is not critical;
it can be scaled so as to fit optimally a particular process
or some remaining space in a run of a larger piece.
The STL files describe a part
with a diameter (in x) of 47,000 units
and a thickness (in y) of 26,000 units.
The surface walls are 1000 units thick.
Ideally we would like a part scaled up to be
3-5 inches in diameter,
i.e., interpret one unit to mean 0.1 mil.
Orientation is not critical either.
However, for a layered manufacturing process (SLA, SLS, etc),
it might be best to
turn the object 90 degrees around the x-axis,
thereby giving the part minimal height,
and preserving its 3-fold symmetry ideally.
Part Description Files:
Compressed Berkeley UniGrafix description of Saddle Trefoil (saddletref.ug.gz).
Compressed ASCII .STL file: saddletref.stl.gz (0.46MB)
Large compressed files can be downloaded from our anonymous FTP site with:
ftp ftp.cs.berkeley.edu
{login as "anonymous"; use your full e-mail address as password.}
Then change directory: cd ucb/projects/unigrafix/STL
Fetch desired files: get saddletref.stl.gz
The saddletref.stl.gz file can be uncompressed with gunzip.
<-- Up to Model Index Page
Page Editor:
Carlo H. Séquin