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Friday, July 8, 2011

Polytope Slicer

The question was raised, in one of the previous comments, concerning the building of patterns in a 3D shape. - There are infinite answers to this but I find the following link here most interesting.
This is the Polytope Slicer which continuously shows 3 dimensional section cuts through a four dimensional object.
To wrap you head around this - just think of the image of a 3 dimensional wireframe cube with it shadow projected on the wall ( two dimensional surface) - In effect we are projecting the cube into the next dimension down - from 3D to 2D - The image shown above is a hyperdodecahedron (which is a four dimensional object) and we are looking at a 3d section cut of it in (the next dimension down)

1 comment:

  1. Thank you so much, Kaz. Although I don't have the software to make this function, I am very intrigued by the idea of creating actual 3D versions of patterns especially with translucent materials. And to add the 4th dimension of time and movement would be awesome. The posting about the wave pattern formed by the balls was a revelation to me.


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