Sketchblog

Diving for treasure — Saturday, June 10, 2017

One doesn't always need to leave home to take a lengthy trip!  I'm spending a few weeks at home taking a much needed vacation, but that doesn't mean I can't do a little sight-seeing in a very beautiful and secluded part of the universe. 

This is a six-minute, deep dive into the Mandelbrot set, starting at a magnification of 4 and going to 4.025129e72, which is so deep that it's likely no one on earth has ever explored this exact pathway. 

My starting point, which you will see encircled at the beginning of the video, is the period 3 disk on the north side of the Mandelbrot's disk. From there, I zoomed in to one of the midgets embedded in that disk's main dendrite. As you will see, the structure I found is both twisty and incredibly delicate. My journey ended up reminding me of this quote by Edward Abbey: 

May your trails be crooked, winding, lonesome, dangerous, leading to the most amazing view. May your mountains rise into and above the clouds.

Indeed!

And here are six highlights of the zoom:

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