Welcome to Geoff Swift's fractal gallery. For best results, watch the videos full screen on the YouTube website. For technical details on of these videos, please also refer to the Wikipedia links and the text on YouTube which accompanies each video. Other videos may be found on Geoff's YouTube channel.

The first video uses the classic Mandelbrot formula, and includes the quadratic, cubic and quartic Mandelbrot sets.

The second video is the same but rendered with an inverted plane, so the shapes are similar but are shown inside out. When the Mandelbrot Set appears in the video, it is shaped like a teardrop.

Escape Time Algorithm (ETA/M)

These three videos are created using the Escape Time Elgorithm for Mandelbrot sets (ETA/M).

The first video uses the classic Mandelbrot formula, and includes the quadratic, cubic and quartic Mandelbrot sets.

The second video also varies the value of the exponent, but uses the complex conjugate in the calculation and so produces a Mandelbar/Tricorn shape.

The third of these Multibrot videos is similar, but uses the Burning Ship fractal formula instead.

Inverted Multibrots

The same Multibrot formulae can be rendered with the complex plane inverted. This entails an initial step of calculating the multiplicative inverse of each point in the complex plane.