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Visualization of Real Projective Algebraic Curves on Models of the Real Projective Plane
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2003 International Mathematica Symposium
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Imperial College, London
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A CAS can compute and plot nearly every curve that can be represented by formulae, and packages like GeomView, MathLive, or MathGL3D allow a 3D representation of curved surfaces which can be rotated in real-time. These are used to discuss three models of the real projective plane: two-sheeted covering by the sphere, the disk-model, and the Roman surface of J. Steiner. Examples of projective curves on these surfaces will be presented.
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projective algebraic curves, real projective plane, two-sheeted covering, sphere, disk-model, Roman surface, J. Steiner
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