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

(x^{2}/a^{2}) + (y^{2}/b^{2}) = 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

r^{2}= a^{2}θ

## Folium of Descartes

#### Curve Equation

x^{3}+ y^{3}= 3axy

## Frequency Curve

#### Curve Equation

y = √(2π) exp(-x^{2}/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)