L-systems
Biologist Aristid Lindenmayer created Lindenmayer systems, or L-systems, in 1968 as a way of formalizing patterns of bacteria growth. L-systems are a recursive, string-rewriting framework, commonly used today in computer graphics to visualize and simulate organic growth, with applications in plant development, procedural content generation, and fractal-like art. A rendering of several L-systems.Th
Faster Fractals with Multi-Threaded WebAssembly
When WebAssembly was released a couple of years ago it was an MVP (Minimal Viable Product), having a small feature-set deemed just enough to make it useable and useful. One significant feature that was missing from the MVP was threads. The WebAssembly threads proposal is now quite mature and available in both the tooling and Chrome. This blog post explores the internals of this feature, the new in
An easier way to make fractals in PowerPoint
This is a video response to a video about PowerPoint fractals released by Matt Parker and Steve Mould. Recursive PowerPoint Presentations [Gone Fractal!] https://www.youtube.com/watch?v=b-Fa6HtvGtQ How a PowerPoint Fractal Works https://www.youtube.com/watch?v=5Mltw6cTb-s Music: "Home Base Groove" Kevin MacLeod (incompetech.com) Licensed under Creative Commons: By Attribution 3.0 License http:
Drawing fractal Droste images · Roy's blog
Tue, May 17, 2016 When I was researching Droste images for a previous post, I occasionally came across versions which depicted multiple spirals, rather than the ordinary single spiral, like this one by David Pearson. This led me down a rabbit hole to understand what is actually going on in these images, and to see what I could make with the effect. This is going to be a longer post, so feel free t
Fractal Lab
History Fractal Lab started around the beginning of 2011 as my first explorations rendering fractals in the browser with WebGL. Previously I had created renderers using Adobe PixelBender and QuartzComposer, which both had the advantage of easy integration into Photoshop and AfterEffects but were very limited when it came to interactively exploring the fractal space. Fractals are by nature highly d
Very simple formula for fractal patterns
I just found a way to produce nice patterns, it's pretty simple and without using complex numbers. I took a little from Samuel Monnier's Ducks, and another little bit from Tglad's ballfold, but I think is still an original "creation" Using inside coloring method (I use "exponential smoothing"), the iteration is: x=abs(x) y=abs(y) m=x*x+y*y x=x/m+cx y=y/m+cy In "Mandelbrot" mode (cx and cy equal to
Path Tracing 3D Fractals | Syntopia
In some ways path tracing is one of the simplest and most intuitive ways to do ray tracing. Imagine you want to simulate how the photons from one or more light sources bounce around a scene before reaching a camera. Each time a photon hits a surface, we choose a new randomly reflected direction and continue, adjusting the intensity according to how likely the chosen reflection is. Though this appr
Brainfilling Curves - A Fractal Bestiary
Brain-filling Curves - A Fractal Bestiary by Jeffrey Ventrella Distributed by Lulu.com Cover Design by Jeffrey Ventrella
Learning to Love Complex Numbers
This post is intended for people with a little bit of programming experience and no prior mathematical background. So let’s talk about numbers. Numbers are curious things. On one hand, they represent one of the most natural things known to humans, which is quantity. It’s so natural to humans that even newborn babies are in tune with the difference between quantities of objects between 1 and 3, in
Fractals for Fun and Profit | Gideon.Smdng.nl
Unlike me, my wife uses computers for serious calculations to answer important questions. One of these problems involves taking the cross-correlations of the continuous seismic data of hundreds of measuring stations. A computation that can take days or even weeks. Interestingly, it turns out that a large part of this time is spent loading data from disks into memory. To better understand the probl
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GitHub - otdav33/Fractal-Toolkit: Render, select coordinates, export to video and more.
https://twitter.com/jaschasd/status/1756930242965606582
Building a Spatial Index Supporting Range Query using Hilbert Curve
oftenpaper.net/sierpinski.htm
GitHub - BrutPitt/glChAoS.P: 3D GPUs Strange Attractors and Hypercomplex Fractals explorer - up to 256 Million particles in RealTime
L-System manual
Composing Fractals
Fractals and Monads – Part 2
Marble Marcher by CodeParade
Sandpiles - Numberphile