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Steiner Curve
Plot
Alternate names
Equations
x(t) = a ((2 cos(t))/3 + 1/3 cos(2 t)) y(t) = a ((2 sin(t))/3 - 1/3 sin(2 t))
-6 y^2 (a^2 + 4 a x + x^2) + (a - x)^3 (a + 3 x) - 3 y^4 = 0
Properties
algebraic | closed | concave | parametric | quartic | roulette | simple
Basic properties
A = (2 π a^2)/9
s = (16 a)/3
d = 4