Maths Town (title)
Maths Town (title)


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 image

3x3 - 3rd Power Mandelbrot image

3x3 - 3rd Power Mandelbrot image

3x3 - 3rd Power Mandelbrot image

3x3 - 3rd Power Mandelbrot image

3x3 - 3rd Power Mandelbrot image

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