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

x^{2}y + aby - a^{2}x = 0

## Spiral of Archimedes

#### Curve Equation

r = a + bθ

## Semicubical Parabola

#### Curve Equation

y^{3}= ax^{2}

## 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 = cx^{3}+ dx^{2}+ ex + f

## Trisectrix of Maclaurin

#### Curve Equation

r = 2a cos(θ/3) or y^{2}(a + x) = x^{2}(3a - x)

## Tschirnhaus Cubic

#### Curve Equation

3ay^{2}= x(x - a)^{2}

## Witch of Agnesi

#### Curve Equation

y(x^{2}+ a^{2}) = a^{3}