Hacker News with Generative AI: Fractals

Rapidly rendering fractals on stupidly unsuitable machines (cowlark.com)
So a week or so ago I wrote a toy Mandelbrot generator for the BBC Micro, capable of using 2.6-bit fixed point arithmetic to draw a pretty terrible vaguely-Mandelbroid image in twelve seconds. That program is now obsolete: the very poorly named Bogomandel is capable of drawing pretty good actual Mandelbrot and Julia images, at higher precision, faster. Here it is.

Fractals, Programming, Retro Computing, Computer Graphics

9 points by rbanffy 4 days ago | 0 comments

Weierstrass's Monster (quantamagazine.org)
In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

Mathematics, History, Fractals

183 points by pseudolus 9 days ago | 128 comments

Rapidly rendering fractals on stupidly unsuitable machines (cowlark.com)
So a week or so ago I wrote a toy Mandelbrot generator for the BBC Micro, capable of using 2.6-bit fixed point arithmetic to draw a pretty terrible vaguely-Mandelbroid image in twelve seconds. That program is now obsolete: the very poorly named Bogomandel is capable of drawing pretty good actual Mandelbrot and Julia images, at higher precision, faster. Here it is.

Programming, Fractals, Computer Graphics, Retro Computing

4 points by rbanffy 13 days ago | 0 comments

Maze Generation: Recursive Division (2011) (jamisbuck.org)
A novel method for generating fractal-like mazes is presented, with sample code and an animation

Maze Generation, Algorithms, Computer Graphics, Programming, Fractals

46 points by homarp 19 days ago | 12 comments

Mandelbrot deep zoom theory and practice (2021) (mathr.co.uk)
The complex beauty of the world's most famous fractal, the Mandelbrot set, emerges from the repeated iteration of a simple formula:

Mathematics, Fractals, Theory, Visualizations

183 points by fanf2 30 days ago | 60 comments

Teen mathematicians tie knots through a mind-blowing fractal (quantamagazine.org)
In the fall of 2021, Malors Espinosa set out to devise a special type of math problem. As with any good research question, it would have to be thought-provoking, its solution nontrivial — something others would want to study. But an additional constraint stumped him. Malors, then a graduate student in mathematics at the University of Toronto, wanted high school students to be able to prove it.

Mathematics, Fractals, Education, Research

329 points by GavCo 68 days ago | 67 comments

Show HN: A Mandelbrot set viewer that runs in the browser (mandelbrot.site)

Show HN, Web Development, Fractals, Mathematics, Programming

5 points by rosslh 123 days ago | 2 comments

Fish in remote tank made into fractals with Video Feedback Device [video] (youtube.com)

Art, Fractals, Video Art, Technology

123 points by thelightherder 189 days ago | 27 comments

Fractional Brownian Motion (2019) (iquilezles.org)

Mathematics, Fractals, Computer Graphics

6 points by dan-robertson 216 days ago | 1 comments

Does anybody know this fractal? (2012) (gibney.org)