#mandlebrot set

[math-memes]

[danitalkscomics]

checks out....... also things i google when im drunk

[betrayedbycinnamon]

Every so often I remember THIS is a thing and go play with it for a while. If you haven't had the pleasure so zoom in, zoom in, zoom in. Guh.

[vbartilucci]

Benoit Mandlebrot has the Google Doodle today, so...

[cosmicbeachparty]

Deepest Mandlebrot Zoom Animation Ever - 10^275

[supercuddlypuppies]

a brilliant design and explanation of the julia fractal and the mandlebrot set. really well done ^_^ 

[squeewentthefangirl]

So I heard y'all like JoCo! If you had to pick just one each, which would be your favorite song and why?

Charlie: Code Monkey, it was the first song of his I really fell in love with.

MINI-DALEK: I WOULD CHOOSE SKULLCRUSHER MOUNTAIN, AS IT IS THE SONG I SUNG TO DASHIE ON OUR FIRST DAAAAAAAAAAAAATE.

Charlie: You sung her a song about a crazy evil genius? Srsly? 

Dashie: He *is* a dalek.

Charlie: Fair point.

Laura: Um. This is hard. That's like asking me to pick a favorite book. Mandlebrot Set would probably win most days, though. Or Code Monkey. Mandlebrot because I just love that one and Code Monkey cause it's the song that got me into Coulton in the first place. 

[glycerineclown]

The boundary of the Mandelbrot set is exactly the bifurcation locus of the quadratic family; that is, the set of parameters C for which the dynamics changes abruptly under small changes of C. It can be constructed as the limit set of a sequence of plane algebraic curves, the Mandelbrot curves, of the general type known as polynomial lemniscates. The Mandelbrot curves are defined by setting p0=z, pn=pn-12+z, and then interpreting the set of points |pn(z)|=2 in the complex plane as a curve in the real Cartesian plane of degree 2n+1 in x and y. [source]