2D cut/slice of 3D = perfectly flat 2D space defined by 2 perpendicular axes, 1D cut slice of 3D = single straight axis, 3D slice of 4D+ = 3D Euclidean space i.e. defined by 3 perpendicular axes. e.g. one Set of 2D cuts/slices of the 4D space making up a standard complex Julibrot (4D ftom zstart and c) gives a Mandrlbrot Set (from the full set to an empty set depending on where the cut is made i.e. the value of zstart) or as Julia Set (for the specific value of c where the cut is made). Again sorry for my lack of formal maths.... On 2 Sep 2011, at 21:41, Dan Asimov wrote:
I thought I knew what you meant by the original question, but now I'm confused. What exactly is a cut/slice? Anything like a subset?
--Dan
David M. wrote:
<< Forgive me, I should have added such that the original set of dimension d is a dimension d cut/slice of the new set of 1 more (integer) dimension.
Sometimes the brain has a mind of its own.
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