Fractal Desmos

How To Use

Enter in your own equations for an escape time fractal or choose from the presets to get some ideas.

z0 is the initial value of z, and f(z) is a function of z applied on each iteration to get the next value of z.

Variables you add in the equations that aren't predefined parameters (listed below) will appear as sliders.

Controls

Use these in the fractal viewport:

Left Click and drag to pan

Right Click and drag to set the value of c

Scroll to zoom in or out on a location

Parameters

Use these as variables in your equations:

z iteration variable

i the square root of -1

x pixel coordinate

t current time (imaginary part = 0)

c mouse coordinates

Color Maps

Presets

z_0

=

x+a

f(z)

=

z^2+\cos\left(t\right)+i\sin\left(t\right)