Math Monday: 3D Hilbert Curve from plumbing supplies
By George Hart for the Museum of Mathematics
The 3D Hilbert curve is an infinitely long path which wiggles around through all regions of a cube, making right angles in a systematic manner.
Physical models can be made with additive fabrication technology. The elegant metal version above was designed by Carlo Séquin. If you have access to a fabrication machine, you can try making your own using the .STL files that Carlo has provided here.
Chaim Goodman-Strauss had the idea of making a large version from plumbing supplies. The above construction uses sixty-four PVC elbows.
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14 thoughts on “Math Monday: 3D Hilbert curve from plumbing supplies”
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This is one of my favorite features we’ve ever run, and this post in particular is awesome. I cannot get enough geometric and/or topological curiosities.
Now I want to make an sgi logo:
http://www.xahlee.org/UnixResource_dir/gki/sgi_pixra/DSCN2683m.jpg
Hilbert Curves make great designs for decorative projects where you want to fill a space. I use them on my CNC trivets.
http://ruztercnc.wordpress.com/projects/hilbert-curve-trivet/
So YOU’RE the guy who is putting the street 90s together in the bin at Home Depot! I need one street elbow and have to spend 5 minutes wrestling them apart! 8^)
A good buyer always inquires, how much, but the wise buyer always asks, how less. Discount is such a sweet word for any consumer. The more we can haggle products, the better; and if we get to grab a discount plumbing supplies for keeps, then we’d almost feel our ears flapping with joy.
Nicely put but honestly have you read the article?
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