Archive For The “3D” Category

A 3D Mandelbrot

By | June 25, 2010

Skytopia have a great set of pages on the search for a 3D version of the Mandelbrot Set. Or at least, for an interesting 3D version of the normal Mandelbrot. It’s easy enough to produce fractal solids that have a Mandelbrot on one plane, and if you …

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A 3D Mandelbrot

By | June 25, 2010

Skytopia have a great set of pages on the search for a 3D version of the Mandelbrot Set. Or at least, for an interesting 3D version of the normal Mandelbrot. It’s easy enough to produce fractal solids that have a Mandelbrot on one plane, and if you …

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3D Audio, and Binaural Recording

By | March 28, 2010

One of the dafter things they teach in physics classes is that because humans only have two ears, we can only hear location by comparing the loudnesses of a sound in both ears, and that because of this we can only hear “lefty-rightiness”, unless we…

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Virtual Lego

By | March 19, 2010

Someone’s finally come up with the “killer application” for VR and computer-augmented reality. It’s buying Lego.You walk into a participating Lego shop, pick up a box of Lego, and walk over to the big screen. A video camera shows you your image. You ho…

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Virtual Lego

By | March 19, 2010

Someone’s finally come up with the “killer application” for VR and computer-augmented reality. It’s buying Lego.You walk into a participating Lego shop, pick up a box of Lego, and walk over to the big screen. A video camera shows you your image. You ho…

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The Tetrahedral Triple-Helix

By | December 20, 2009

Tetrahedral triple-helix, Eric Baird 2009Mathematicians playing with geometrical solids tend to concentrate on the finite ones. Those provide a nice satisfying sense of closure, and they’re cheaper to build with straws and pipecleaners than the infinite ones.

This is an interesting shape that doesn’t fall into that category. It’s a simple rigid stack of tetrahedra that generates a “column” with a triple-helix. The odd thing is, you’d expect an architect somewhere to have already used this on a structure somewhere … but I don’t recall ever seeing it.
Maybe I missed it.

The sequence rotates through [~]120 degrees and [nearly] maps onto itself every nine tetrahedra (that is, the tenth [nearly] aligns with the first). If you want to follow one of the spiral arms through a complete [~]360-degree revolution, that takes 9×3=27 tetrahedra, (#28 corresponds to #1) .

Oh, and it has a hole running right down the middle.

I’ll try to upload some more images in another post.

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