rzeta0, to 8bit
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DougBrownArtPhotography, to art
DougBrownArtPhotography, (edited ) to art
DougBrownArtPhotography, to art
jsamclicks, to nature
DougBrownArtPhotography, to art
DougBrownArtPhotography, to DigitalArt
rzeta0, to genart
@rzeta0@mastodon.social avatar

Another video is now live!

Distance Estimation (by Gradient) Method - Explained

... for rendering the fine fractal detail around the Mandelbrot and Julia sets, detail that is missed by the standard "divergence test" algorithm.

Includes a derivation of the iterative gradient calculation too - something I couldn't find online when researching.

https://www.youtube.com/watch?v=Dn6nPvi4d04

SharonCummingsArt, to ocean
@SharonCummingsArt@socel.net avatar
rzeta0, to python
@rzeta0@mastodon.social avatar

All the code for creating Mandelbrot and Julia sets as

  • simple black/white plots
  • escape-time coloured plots
  • 3D surface plots (image)
  • detailed distance estimation plots

is freely available online:
https://github.com/makeyourownmandelbrot/Second_Edition

and it all works via web notebooks eg Colab - nothing to install!

#fractals #python #opensource

seav, to til
@seav@en.osm.town avatar

#TIL about the #Mandelmap, which combines two nerdy things that I love: #maps and #fractals! 😍

https://www.mandelmap.com

#MandelbrotSet #math #maths #mathematics #cartography #GraphicDesign

jcponcemath, to opensource
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DougBrownArtPhotography, to art
DougBrownArtPhotography, to art
DougBrownArtPhotography, to art
rzeta0, to genart
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hoping to record a YouTube video next week talking about the Distance Estimation (by gradient) Method for rendering finer detail in Julia and Mandelbrot fractals

subscribe if you want to get notifications on new #creativecoding videos

https://www.youtube.com/@AlgorithmicArt/videos

#maths #fractals #generative

DougBrownArtPhotography, to DigitalArt
DougBrownArtPhotography, to DigitalArt
marquisdegeek, to LEGO
@marquisdegeek@ohai.social avatar

: a sponge...

DougBrownArtPhotography, to DigitalArt
DougBrownArtPhotography, to art
DougBrownArtPhotography, to DigitalArt
rzeta0, to python
@rzeta0@mastodon.social avatar

I've written up a blog post on the Distance Estimation Method for rendering Mandelbrot and Julia sets in detail that is missed by the standard method.

It includes an attempt to derive / explain the algorithm.

https://makeyourownmandelbrot.blogspot.com/2024/01/rendering-fine-detail-with-distance.html

I hope next week I can record a video doing a talk-through of the algorithm and some #python coding too.

#maths #fractals

DougBrownArtPhotography, to DigitalArt
Usernamez, to drawing
@Usernamez@ohai.social avatar

Draw symmetries in the browser
https://eschersket.ch/

Here are some I just made in a few seconds.

image/jpeg
image/jpeg

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