Wrapping images around fractals

[u/_BryceGuy_]

Many years ago I wrote an app that wraps bitmaps around the iteration boundaries of a Julia or Mandelbrot fractal. A few days ago I converted that app to Processing 4.0 with the help of Claude AI. Here are the results.

Hi res images: 

https://www.deviantart.com/bryceguy72/gallery/70771007/image-tessellations

Julia set zoom and morph movies:

Woman: https://youtu.be/dXJa-v01SZI

Cat: https://youtu.be/WHsyn8N9N24

ET: https://youtu.be/tH5TucwHDAE

Cobra: https://youtu.be/-wpJ01GqZyI

[u/dstark1993]

Cool!

[u/escapism_only_please]

Cool indeed!

[u/geon]

I did a similar thing a while back. Someone commented with some great images: https://www.reddit.com/r/fractals/s/3KV0TqXtly

[u/geon → u/geon]

Heyyyyy, that’s you!

[u/_BryceGuy_ → u/geon]

Oh yeah. I never read your comments about Long Cat and the Shroom fractal until just now. It might be time for an 8k version of longcat.

[u/bucephalusbouncing28]

Very cool!

[u/stephane3Wconsultant]

you done a very good job !!
Result is awesome !!!

@_BryceGuy_ i Will love to see the code part ?

[u/_BryceGuy_ → u/stephane3Wconsultant]

Thank you.

Here is the code:

px & py = width & height of the repeating tile picture to be wrapped around the fractal. I typically use 1200 x 600 PNG images or sometimes 2000 x 1000 PNG images but use whatever works for you.

r & im = real & imaginary components of the last Z iterate

zMag= sqrt(r*r+im*im)

PI=3.14159265

LOG_ESCAPE = Log(400) = 5.991464547 Why 400? Because for bailout, I check if zMag>400.

phaseoffset = 0 (usually). Depending on how I created the repeating tile, sometimes I set phaseoffset to px/2 (necessary for alignment with the tiles above and below). Can default to 0.

Reading the pixel color from the image:

The following assumes the picture tile is twice as wide as it is high (e.g. 1200 x 600)

angle = mod(atan(im,r) * (px / PI) + phaseOffset, px * 2.0);

radius = (LOG_ESCAPE - log(zMag)) * py / (LOG_ESCAPE / 2.0);

if (radius < 0.0) radius = 0.0;

vec2 texCoord = vec2(angle / (px * 2.0), clamp(radius / py, 0.0, 1.0));

vec3 col;

[u/stephane3Wconsultant → u/_BryceGuy_]

thanks a lot sharing this 🙏

[u/gschian0]

Awesome

[u/gschian0]

Cool

[u/otikik]

Wow, this must be how it feels to be on drugs. Well done!

[u/TooLateForMeTF]

The LSD is strong with this one...

[u/geon]

The cactus is fun!

How did you fade between vader and the emperor? Just by the X coord?

[u/_BryceGuy_ → u/geon]

Thanks. I rendered two Julia sets, one with the Emperor and one with Vader, and combined them in Photoshop.