That was fun.
That fractal that's been up on my wall for years
11–20 of 46 posts
Re: That fractal that's been up on my wall for years
#12Amazing insightful and thoughtful write up, thank you!
Loved the 3d visualizations
It reminds me of this thing I built some time ago while playing with recursive decimation to generate effects similar to fractals from any image
You can play with it here: https://jsfiddle.net/nicobrenner/a1t869qf/
Just press Blursort 2x2 a couple of times to generate a few frames and then click Animate
You can also copy/paste images into it
There’s no backend, it all just runs on the browser
Don’t recommend it on mobile
Re: That fractal that's been up on my wall for years
#13Kinda looks like a propeller
Things with four arms that all curve the same way unfortunately tend to look swastika-ish.
The the arms of the author's "wallflower" fractal don't seem to curve, as opposed to the other, similar fractal (quadratic von Koch island). Which can be explained by each iteration adding a mirroring.
Re: That fractal that's been up on my wall for years
#14[flagged]
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Re: That fractal that's been up on my wall for years
#15Well written! Would you mind sharing how you came up with the "middle out" numbering system? I can never seem to come up with something this inspired when I'm doing math problems by myself.
The post presents it a bit out of order, but it was mostly from realizing at some point that the way the fractal grows by a factor of 5, base 5 number systems, and the "spiral" mentioned in the post can all fit together. I also thought a lot about how to programmatically draw the fractal and a natural way would be to start from the middle and zoom out.
There's an apocryphal story about Richard Feynman about how he used to keep a dozen or so random problems in the back of his mind and made a little bit of progress on them every time he saw a connection, until finally he'd solve one and everyone would think he magically figured it out instantly. This was a bit similar except I'm not nearly at that level and I've only been able to do that for one problem instead of a dozen.
Re: That fractal that's been up on my wall for years
#16I wonder if something similar can be applied to get a dither pattern with built-in level of detail adjustment.
Re: That fractal that's been up on my wall for years
#17Amazing insightful and thoughtful write up, thank you! Loved the 3d visualizations It reminds me of this thing I built some time ago while playing with recursive decimation to generate effects similar to fractals from any image You can play with it here: https://jsfiddle.net/nicobrenner/a1t869qf/ Just press Blursort 2x2 a couple of times to generate a few frames and then click Animate You can also copy/paste images i…
Curious if it would work in 3D
Re: That fractal that's been up on my wall for years
#18Nice writeup. The Heighway dragon of Jurassic Park fame is pretty neat too.
Re: That fractal that's been up on my wall for years
#19Amazing insightful and thoughtful write up, thank you! Loved the 3d visualizations It reminds me of this thing I built some time ago while playing with recursive decimation to generate effects similar to fractals from any image You can play with it here: https://jsfiddle.net/nicobrenner/a1t869qf/ Just press Blursort 2x2 a couple of times to generate a few frames and then click Animate You can also copy/paste images i…
Curious if it would work in 3D
Very interesting! I wonder what that would look like
Right now, roughly, the algorithm recursively divides the image by doing decimation (ie. picking every other pixel), and keeps the decimated pixels as a second image
Not sure how that algorithm would apply to a 3d data structure
Do you know how 3d objects/images are usually represented?
It would be cool to recursively decompose a 3d object into smaller versions of itself :)
Re: That fractal that's been up on my wall for years
#20Outstanding work and a delightful read.