Cosmography archives
1999: Is the Universe Fractal?
A perspectives paper by Vicent J. Martinez for Science Magazine
https://www.science.org/doi/10.1126/science.284.5413.445
#fractals
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Happy Pi Day fellow nerds!
I celebrated this irrational day by spending far more time than I could afford making these Sierpinski style fractals on turtle.
In short, the program chooses a random corner of the shape and goes a set fraction of the distance and makes a dot and then repeats about 12,000 times. The process is chaotic yet produces stunningly ordered patterns. I included a link to the codes below!
:ignutius: Replied in thread
#MathArtMarch Day 6 (Single Line)
There are quite a few #fractals made by repeatedly modifying a single line. I decided to go for one of the less well known ones (at least to me), the Fibonacci Word Fractal.
Again, this is made completely in #PowerPoint.
#mathart #geometry #fractal
Ah yes, #ForeverVM: the solution nobody knew they didn't need. 
Now you can execute #AI-generated #Python #Code in a #Sandbox that presumably lasts longer than your patience. 
Finally, the perfect tool for those who enjoy setting up #Stateful #Environments that persist until the heat death of the universe. Just what the world needed: #Eternal code #Execution for the sake of... doing math and drawing #Fractals. 
https://forevervm.com/ #HackerNews #ngated
forevervm.comForeverVM: The sessionless code interpreterThe sessionless code interpreter
Fractal cabbage (err... Romanesco broccoli) #fractals #farmersmarket
Greg Cocks Scaling In Branch Thickness And The Fractal Aesthetic Of Trees [In Art From Da Vinci To Mondrian]
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https://academic.oup.com/pnasnexus/article/4/2/pgaf003/7996468 <-- shared paper
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[not my usual fare, but love the spatial mathematical components, although the maths is way over my head!]
#spatial #maths #mathematics #art #painting #representation #daVinci #LeonardodaVinci #MurraysLaw #tree #vegetation #fractal #fractals #α #biology #artwork #radiusscalingexponent #branches #branching #nature #naturalpatterns #proportions #physiology #Mondrian #aesthetic #aesthetics #scale #scaling
#fractals? in this economy? yeah sure okay
Take the parity of the indices of the terms of the continued fraction of Liouville's constant that equal 8. For odd numbers turn left, for even turn right.
What do you get?
The Dragon curve appears, again. It's everywhere.
This works with indices equalling 1 too (for 9 you'll have to ignore the first digit)
2024
Sometimes #fractals happen.
An experiment with #mandelbulb3d and #blender
you can learn how to make these #fractals yourself with simple #python code
this one is a simple julia set with an edge-detecting sobel filter applied
book: https://www.amazon.com/dp/B0CQS8JYJC
code: https://github.com/makeyourownmandelbrot/Second_Edition
The 2nd Edition of "Make Your Own Mandelbrot" is out!
updated to #Python 3 #fractals → easy #maths → DIY #python expts in filters, 3d landscapes new chapter on Distance Estimation Methods for very detailed renders (see cover image) all code #opensource on GitHub
learn about the distance estimation (by gradient) method for rendering the fine detail of the Julia and Mandelbrot fractals
the method avoids the "finite grid of points to test" problem which can miss fine detail
Make Your Own Mandelbrot 2nd Edition
haven't played with #fractals in a while