This post continues to document more curves in addition to what we covered in Set 1 (A-D), Set 3 (I-R) & Set 4 (S-Z). You can download the blend file from my Gumroad page.
Ellipse
Curve Equation
(x2/a2) + (y2/b2) = 1
Equiangular Spiral
Curve Equation
r = a exp(θ cot b)
Epicycloid
Curve Equations
x = (a + b) cos(t) - b cos((a/b + 1) t)
y = (a + b) sin(t) - b sin((a/b + 1) t)
Epitrochoid
Curve Equation
x = (a + b) cos(t) - c cos((a/b + 1)t)
y = (a + b) sin(t) - c sin((a/b + 1)t)
Fermat’s Spiral
Curve Equation
r2 = a2θ
Folium of Descartes
Curve Equation
x3 + y3 = 3axy
Frequency Curve
Curve Equation
y = √(2π) exp(-x2/2)
Hyperbolic Spiral
Curve Equation
r = a/θ
Hypocycloid
Curve Equation
x = (a - b) cos (t) + b cos ((a/b - 1) t)
y = (a - b) sin (t) + b sin ((a/b - 1) t)
Hypotrochoid
Curve Equation
x = (a - b) cos (t) + c cos ((a/b - 1) t)
y = (a - b) sin (t) + c sin ((a/b - 1) t)
