Made this tonight.



Made this tonight. It's a cross-eyed stereo view of three nested tori sitting inside the 3-sphere. The one in the middle, which looks flattened out, is a Clifford Torus.

http://en.wikipedia.org/wiki/Clifford_torus

If you'd like to experience the image in 3D, here's a link with a nice description of how to free-view. No goggles required!

http://www.starosta.com/3dshowcase/ihelp.html

#4d

Comments

  1. Amir ElaguizyMay 17, 2012 at 3:10 AM

    This is awesome roice you should make it in JS

    ReplyDelete
  2. Roice NelsonMay 17, 2012 at 7:44 AM

    Thanks, this was a little prep for the JS project I'm beginning with my friend Scott. Scott ported some of this to JS last night, and our project lives here:

    https://github.com/vorth/clif4d

    ReplyDelete
  3. wendy kriegerFebruary 24, 2014 at 1:11 AM

    There is in 4d, a projection of points in 3d space onto clifford circles.   The vertices of a tetrahedron should produce four interlocked torii, much as might be found by connecting the four rings of six octahedra of {3,4,3}. 

    There has been a lot of discussion on the parts of the net where i prowl, which deal with "toratopes" or the generalised torus in N dimensions.  There's even a regular product that produces toruses from different shapes. 

    Jonathan Bowers has produced projections of 'swirl-prisms', which are projections of 3d figures into 4d shapes.

    ReplyDelete

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