Hacker News with Generative AI: Fractals

Show HN: FlakeUI (github.com/tearflake)
FlakeUI is a fractal-structure inspired, parent-child orbiting, and zooming-elements based graph user interface.

User Interfaces, Software, Design, Fractals

138 points by tearflake 6 days ago | 52 comments

Surface-Stable Fractal Dither on Playdate (aras-p.info)
Rune Skovbo Johansen has a really sweet Surface-Stable Fractal Dithering technique, where the dither dots “stick” to 3D surfaces, yet the dot density adapts to the view distance and zoom level.

Graphics, Programming, Games, Fractals

146 points by atan2 20 days ago | 25 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.

Fractals, Programming, Retro Computing, Computer Graphics

9 points by rbanffy 39 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 45 days ago | 129 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 48 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 54 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 65 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 103 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 158 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 225 days ago | 27 comments

Fractional Brownian Motion (2019) (iquilezles.org)

Mathematics, Fractals, Computer Graphics

6 points by dan-robertson 251 days ago | 1 comments

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