Mandelbrot Home and Variants

Clicking the link or image will open the chosen Mandelbrot Set Explorer. From there a Julia Set can be opened from the seed point your choosing via the “Generate Julia Set” button.

Standard Mandelbrot Set

z_n+1 = z_n² + c

Orbits Explorer

Displays the orbits of the
iterations in a Mandelbrot Set

Full Screen Mandelbrot Explorer

z_n+1 = z_n² + c

3^rd Order Mandelbrot Set

z_n+1 = z_n³ + c

4^th Order Mandelbrot Set

z_n+1 = z_n⁴ + c

5^th Order Mandelbrot Set

z_n+1 = z_n⁵ + c

6^th Order Mandelbrot Set

z_n+1 = z_n⁶ + c

7^th Order Mandelbrot Set

z_n+1 = z_n⁷ + c

How to use the Mandelbrot Explorer

What everything does
and how to use it.

About the Mandelbrot Set

What It Is and How It Works.

Wild Mandelbrot Variants

These “Wild Mandelbrot Variants” are created by changing the equation from the standard format to something a little more obscure like:
“z_n+1 = - z_n³ + z_n² + c” or
“z_n+1 = - z_n⁵ + z_n⁴ - z_n³ + z_n²+ c”.
This produces some strange and interesting results.

-3^rd + 2^nd Order Mandelbrot Set

z_n+1 = - z_n³ + z_n² + c