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Joined: 25 Nov 2004
Posts: 40
Location: Tokyo
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Could somebody help me with this math problem.
A circle and a square are homeomorphic (isomorphic?). No suppose you have a set of vectors on the unit circle ( a.i + b.j with a^2+b^2=1), and the rotations of these vectors around the circle, described by 2*2 unitary matrices.
what would be the equivalent of these rotations on the square? e.g. what transformation would happen to this matrices?
Is there some proceedure for finding the equivalent transformations or operations on the image of a set by a homeomorphism.
Please forgive my sloppy language, I am but a lowly computer engineer with little training in math.
Thanks |
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