Re:Unveiling the Mandelbrot set (2006)
by pdkl95 on Monday October 15, 2018 @06:44AM
(#18218700)
Re: the Mandelbrot set as a map of the connected Julia sets.
This means the Mandelbrot and Julia sets can be seen as different slices of a higher dimensional structure. Recently I found a video[1] with very high quality render of both sets that explores this relationship, with a focus on what happens at the boundary of the Mandelbrot set (where the Julia set becomes (dis)connected. The video also makes several good attempts at rendering 3D projections of the complete Mandelbrot+Julia "object".
(or, if you just want to look at the beautiful complexity of the Mandelbrot's border for a while, this[2] 2^1116 zoom is amazing. The rapidly increasing complexity[3] in the last 1/3 is maddening)
This means the Mandelbrot and Julia sets can be seen as different slices of a higher dimensional structure. Recently I found a video[1] with very high quality render of both sets that explores this relationship, with a focus on what happens at the boundary of the Mandelbrot set (where the Julia set becomes (dis)connected. The video also makes several good attempts at rendering 3D projections of the complete Mandelbrot+Julia "object".
(or, if you just want to look at the beautiful complexity of the Mandelbrot's border for a while, this[2] 2^1116 zoom is amazing. The rapidly increasing complexity[3] in the last 1/3 is maddening)
[1] https://www.youtube.com/watch?v=vfteiiTfE0c
[2] https://www.youtube.com/watch?v=PbwaFQ2r2c4
[3] https://imgur.com/a/qtlQc