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Visualization of Real Projective Algebraic Curves on Models of the Real Projective Plane

    https://doi.org/10.1142/9781848161313_0047Cited by:0 (Source: Crossref)
    Abstract:

    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.