Math, fashion, art, 3D printing, Henry Segerman, do they have connections? yes, mathematician and a mathematical artist Henry Segerman at the University of Melbourne, Australia created these beautiful Mathematical sculptures using 3D printing technology.
Most of the sculptures are made using 3D printing material nylon 12, or PA2200 Selective-Laser-Sintered, which is "White, Strong & Flexible" - it is a strong nylon material and has a good heat resistance. Segerman designed his work in Rhinoceros, a NURBS based modelling tool and produced the sculptures by Shapeways. 3D printing technology make it possible to produce his scupltures very close to mathematically precise geometry.
1. Fractal Graph 3
(Left: A view from 'outside the corner'. Right: Reverse view)
Size: 10.6 w x 10.6 d x 10.6 h
"This is a graph embedded in 3-dimensional space as a subset of the cubic lattice. The graph has a fractal structure, formed by a process of repeated substitution."
2. Hopf Fibration
A 2-fold symmetry axis. Size: 7.8 w x 7.8 d x 3.4 h cm
"Rectangular tube version. One arc's worth of fibers, from pole to pole."
3. Round Klein Bottle
Size: 15.2 w x 15.2 d x 10.9 h cm
"A Klein bottle in 3-dimensional space has to intersect itself, and in this case it intersects itself along a straight line."
4. Torus Autologlyph
Size: 3.5 w x 10.1 d x 10.1 h cm. "A self-referential tessellation of the torus."
5. Knotted Cog
Size: 1.3 w x 3.4 d x 3.8 h cm. "This steampunk style knotted cog was procedurally generated using 3-dimensional spherical geometry, then stereographically projected into our (mostly) Euclidean universe."
This is made from stainless steel infused with bronze.
7. Half of a 120-Cell
8. Juggling Club Motion
"This shows (a somewhat idealised version of) the path of a juggling club as it is thrown from the right hand to the left, making a single spin."
9. Archimedean Spire
10. The famous Hilbert Curve: size 4.4 w x 4.4 d x 4.4 h cm
The Hilbert Curve is probably the most practical object from Segerman. It can be used as a bracelet or hair accessory.
(photo credit: Henry Segerman)
"Hilbert Cube" is a 3-dimensional version of the Hilbert space filling curve which was orginally designed for Second Life. "It is made out of 16 sculpty prims, which use the RBG values on a texture to define the XYZ positions of vertices in a mesh."
Posted in 3D Print Applications
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