A new kind of fractal?

#1

Post by mg » Tue, Oct 16, 2012, 1:54 PM UTC

I stumbled across this and wonder what it is.

Re: A new kind of fractal?

#2

Post by crntaylor » Tue, Oct 16, 2012, 2:15 PM UTC

It would be a lot more useful if he also described how he generated the picture, which would enable mathematicians to give him some useful pointers for exploring it further.

Re: A new kind of fractal?

#3

Post by [deleted] » Tue, Oct 16, 2012, 2:24 PM UTC

crntaylor wrote: post #2

It would be a lot more useful if he also described how he generated the picture, which would enable mathematicians to give him some useful pointers for exploring it further.

[deleted]

Re: A new kind of fractal?

#4

Post by sophiabatka464 » Tue, Oct 16, 2012, 2:26 PM UTC

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Re: A new kind of fractal?

#5

Post by mg » Tue, Oct 16, 2012, 2:28 PM UTC

crntaylor wrote: post #2

It would be a lot more useful if he also described how he generated the picture, which would enable mathematicians to give him some useful pointers for exploring it further.

Wow, HN front page! Ok, will describe the algorithm. One moment...

Re: A new kind of fractal?

#6

Post by gnosis » Tue, Oct 16, 2012, 2:28 PM UTC

Archive: http://www.gibney.de.nyud.net/does_anybody_know_this_fractal

Re: A new kind of fractal?

#7

Post by papalalu » Tue, Oct 16, 2012, 2:35 PM UTC

reminds me of points on a 3d grid..

http://www.youtube.com/watch?v=60CnwbngWWw&t=15m10s

Re: A new kind of fractal?

#8

Post by mej10 » Tue, Oct 16, 2012, 2:35 PM UTC

This looks like the complex differentiation of 1/z with a grid like domain.

Re: A new kind of fractal?

#9

Post by mg » Tue, Oct 16, 2012, 2:37 PM UTC

mg wrote: post #5

crntaylor wrote: post #2

It would be a lot more useful if he also described how he generated the picture, which would enable mathematicians to give him some useful pointers for exploring it further.

Wow, HN front page! Ok, will describe the algorithm. One moment...

Ok, I have put a description of the algorithm above the comment section.

Re: A new kind of fractal?

#10

Post by binarymax » Tue, Oct 16, 2012, 2:39 PM UTC

Very cool. I stumbled upon something in the late 90s that is fractal in nature but doesnt use complex numbers - it just plots points directly on a grid with no need for iteration. http://www.youtube.com/watch?v=uwjhRYZ_eSI&feature=plcp