This post continues to document more curves in addition to what we covered in Set 1 (A-D), Set 2 (E-H) & Set 3 (I-R) You can download the blend file from my Gumroad page.
Superellipse or Lame Curves
Curve Equation
(x/a)n+(y/b)n=1
Serpentine
Curve Equation
x2y + aby - a2x = 0
Spiral of Archimedes
Curve Equation
r = a + bθ
Semicubical Parabola
Curve Equation
y3 = ax2
Tractrix
Curve Equation
x = 1/cosh(t)
y = t - tanh(t)
Triscuspoid or Deltoid Curve
Curve Equation
x = (b - a)cos(t) + a cos((b - a)/a)t
y = (b - a)sin(t) - a sin((b - a)/a)t
Trident of Newton
Curve Equation
xy = cx3 + dx2 + ex + f
Trisectrix of Maclaurin
Curve Equation
r = 2a cos(θ/3) or y2(a + x) = x2(3a - x)
Tschirnhaus Cubic
Curve Equation
3ay2 = x(x - a)2
Witch of Agnesi
Curve Equation
y(x2 + a2) = a3
