3-D Hilbert Curves Available...Printed While You Wait
Henry Segerman, as a research fellow at the
University of Melbourne, investigates the areas of 3-dimensional topology and hyperbolic geometry. Also, he is a juggler, artist, and word-player.
Recently, he put together a series of videos that explain his 3-dimensional "printed" sculptures involving fractals, topology, and multi-dimensions. If you have no-idea what this process involves, watch the suggested video Amazing 3-D Printer.
On his YouTube Channel, Segerman offers 32+-videos that informally explain the mathematics underlying his exotic sculptures. Browse all of them...even the eleven that extend into other areas, as Segerman certainly is a clever fellow who does a good job at explaining things. (NOTE: A more detailed mathematical explanation for some of the sculptures is available in an Bridges Conference paper he co-authored with Saul Schleimer.
I would start with these videos from the set...
And, if you like his scuptures, Segerman offers them for sale. Visit the Shapeways.com website, where you can browse his 50+ products, plus explore how you can sue this website to produce your own "printed" sculptures.
- Developing Hilbert Curve
- Developing Dragon Curve
- Fractal Graph 4
- Interlocking Möbius Ladders
- Round Klein Bottle
- Space Filling Graph 1
- Archimedean Spire
- Tesseract and 16-Cell
- Round Möbius Strip...etc.
And, if time remains (and there is always tomorrow), browse Segerman's personal website for a creative experience.
Thanks to M.J. (Bellingham) who sent me this link, via M.N. (Norway).