Show HN: FlakeUI
(github.com/tearflake)
FlakeUI is a fractal-structure inspired, parent-child orbiting, and zooming-elements based graph user interface.
FlakeUI is a fractal-structure inspired, parent-child orbiting, and zooming-elements based graph user interface.
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.
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.
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.
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.
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.
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.
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.
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.
Maze Generation: Recursive Division (2011)
(jamisbuck.org)
A novel method for generating fractal-like mazes is presented, with sample code and an animation
A novel method for generating fractal-like mazes is presented, with sample code and an animation
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:
The complex beauty of the world's most famous fractal, the Mandelbrot set, emerges from the repeated iteration of a simple formula:
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.
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.