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    Flat Visor Curve

    Plot

    Equations

    x(t) = a (3 cos(t) - cos(3 t)) y(t) = a (3 sin(t) - sin(3 t))

    (-4 a^2 + x^2 + y^2)^3 = 108 a^4 y^2

    r(θ) = sqrt(2) a ((1 - cos(θ))^(1/3) + (cos(θ) + 1)^(1/3))^(3/2)

    Properties

    algebraic | closed | concave | parametric | roulette | sextic | simple

    Basic properties

    A = 12 π a^2

    s = 24 a

    d = 6

    Derived curves

    evolute | nephroid involute | nephroid

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