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(http://archive.org/download/hairy_julias_2013-06-18/hairy_julias_2013-06-18.gif)

http://archive.org/details/hairy_julias_2013-06-18

A Mandelbrot set fractal video with no zooming!

I hope to find time later this week to write a blog post about how I made it.

it is interesting, if i understand it right, those locations are just found in the mset and assembled together to look like a zoom ?=

interesting idea

Yes, something along those lines - I wrote one blog post about it so far, more to come..

http://mathr.co.uk/blog/2013-06-23_patterns_of_periods_in_the_mandelbrot_set.html

Each frame is an embedded Julia set near an island, each section loops around one island, the whole video loops around the (top half of) the whole set.

wow, the nicest document i have seen talking about these periods! congrats
may i ask how you detected such deeper periods?

Thanks :)

I'm using the Jordan curve method described here (essentially: make a box of C coordinates around the target, iterate them until their Z's surround the origin):

http://mrob.com/pub/muency/period.html "Finding the period of a mu-atom"

I use my explorer[0] to navigate to a region of interest, then hold down control and left-click where I want to label, then it finds the period and adds a text label (which stays in place relative to the set when zooming in/out).

It finds the center with that period using Newton's method to know where precisely to put the label.  And there's a feature to find the size of the atom (by using Newton's method to find the bond with the 1/2 child bulb) and automagically zoom in to a region around the atom.

(0) http://hackage.haskell.org/package/gruff written in Haskell with some heavy dependencies, probably a nightmare to get running if you don't have Haskell experience... am eventually going to rewrite it in C or C++ because it seems the GHC/GMP/MPFR incompatibility issue isn't going to go away any time soon :(

I really enjoyed your animation - quite a different approach from the usual stuff.