Maths Town (title)
Maths Town (title)

3x3 Video

Our first video exploring the 3rd power Mandelbrot fractal. The 3rd Power Mandelbrot is different to the normal Mandelbrot because it results in 3-way rotational symmetry, as opposed to the usual 2-way. A fractal a like to call the "Tribrot", this fractal iterates over the equation "z=z3+c".

We pass quite a few mini-tribrots in this zoom. You might notice that the mini-Mandelbrots are generally easier to find at the higher powers. This is because the symmetry resolves into a mini-Mandelbrot much quicker. The symmetry 'plays-back' at 3 times the original speed in a 3rd power Mandelbrot zoom.

Location

Fractal: 3rd Power Mandelbrot (z=z3+c)

Real: -0.2119820918772494530943813171368041871674207548412967389460441349358753507684256640847578884998386267603212847855285907140404013705704087832872407977580817576770323703207441385

Imaginary: -1.143423501771937503390520654124282655758722393168350923446440465174090919347874891003616762864547461141056375452282236780016609683176319753734229376154799758637650525903262421

Zoom: 8.46e124

Iterations: 1,464,085

Music:

Tchaikovsky - Waltz of Flowers (from The Nutcracker Op.71).

Patreon Downloads

This video, and the entire sequence of original jpeg images, are available to download in 4k. Royalty-free commercial usage rights are included (for the visuals, but not the audio). More information is available at my Patreon page.

Image Gallery

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot

3x3 - 3rd Power Mandelbrot