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Showing posts with label hyperdimensional geometry. Show all posts
Showing posts with label hyperdimensional geometry. Show all posts

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)
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