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    Dervish

    Example plot

    Example plot

    Alternate name

    whirling dervish surface

    Equations

    (1 - 1/2 sqrt(5 - sqrt(5)) z) (x^2 + y^2 + 1/4 (1 + 3 sqrt(5)) z^2 - 1)^2 - 1/50 sqrt(5 - sqrt(5)) (5 + sqrt(5)) (x - z) (x^4 - 4 z^2 (x^2 + 5 y^2) - 4 x z (x^2 + 5 y^2) - 10 x^2 y^2 + 16 x z^3 + 5 y^4 + 16 z^4) = 0

    Surface properties

    5

    Properties

    algebraic surfaces | quintic surfaces

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