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Flat Visor Curve
Plot
Alternate names
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