Close

# Awesome Procedural Curves Using Geometry Node in Blender – Set 1 (A-D)

Last weekend, while practicing geometry node system in Blender, I created a bunch of procedural curves / shapes. You can download the blend file from my Gumroad page.

This post continues to document more curves in addition to what we covered in Set 1 (A-D), Set 2 (I-R) & Set 4 (S-Z).

You can find the actual formulas and definition from https://www.matematica.pt/en/useful/list-curves.php or https://en.wikipedia.org/

Below is the collection of nodes configuration and corresponding renders.

## Astroid

#### Curve Equation

`x2/3 + y2/3 = a2/3`

## Bicorn

#### Curve Equation

`y2(a2 - x2) = (x2 + 2ay - a2)2`

## Cardioid

#### Curve Equation

`(x2 + y2 - 2ax)2 = 4a2 (x2 + y2)`

## Conchoid

#### Curve Equation

`(x - b)2 (x2 + y2) - a2x2 = 0`

## Catenary

#### Curve Equation

`y = a cosh(x/a)`

## Circle

#### Curve Equation

`x2 + y2 = a2`

## Cycloid

#### Curve Equation

`x = at - h sin(t)y = a - h cos(t)`

## Cayley’s Sextic

#### Curve Equation

`4(x2 + y2 - ax)3 = 27a2 (x2 + y2)2`

## Cissoid of Diocles

#### Curve Equation

`y2 = x3/(2a - x)`

## Devil’s Curve

#### Curve Equation

`y4 - x4 + ay2 + bx2 = 0`