"Donut math: how donut.c works" blog post by Andy Sloane:
https://www.a1k0n.net/2011/07/20/donut-math.html

Deobfuscated code: https://bit.ly/2BITbQm

Here on the left is a spinning ASCII donut, and on the right is a donut-shaped C code by Andy Sloan that generates it.

Now I recommend you check out Andy's blog post on the mathematics behind a flying spinning torus aka donut.

The link to the post is in the description.

The basic steps are create a circle, then create a torus by rotating the circle about the y-axis, then using rotation matrices spin the donut around the X and Z axes.

Finally, project the donut onto the 2D screen, adding illumination by calculating the surface normal after picking a particular light source.

The cool thing is because this is ASCII world, there's different characters associated with different levels of luminance.

We can go back to the de-obfuscated version of the code that I generated, adding a microsecond sleep function to aid in the animation, Compiling and running the code, we get our spinning donut.

There's a lot of parameters that you can control with this donut, including the field of view and the distance of the donut from the viewer.

I spend at least an hour every day learning and exploring outside my main line of work.

So I thought it'd be cool to start throwing together quick little videos about things that I find beautiful, whether they're basic or advanced in the world of machine learning, math, computer science, programming, psychology, whatever, even biology, physics, history, and philosophy.

So hope this is a value, fun, and something you you


Speaker 0: Here on the left is a spinning ASCII donut, and on the right is a donut-shaped C code by Andy Sloan that generates it. Now with syntax highlighting. Now I recommend you check out Andy's blog post on the mathematics behind a flying spinning torus aka donut. The link to the post is in the description. The basic steps are create a circle, then create a torus by rotating the circle about the y-axis, then using rotation matrices spin the donut around the X and Z axes.

Finally, project the donut onto the 2D screen, adding illumination by calculating the surface normal after picking a particular light source. The cool thing is because this is ASCII world, there's different characters associated with different levels of luminance. We can go back to the de-obfuscated version of the code that I generated, adding a microsecond sleep function to aid in the animation, Compiling and running the code, we get our spinning donut. There's a lot of parameters that you can control with this donut, including the field of view and the distance of the donut from the viewer. I spend at least an hour every day learning and exploring outside my main line of work.

So I thought it'd be cool to start throwing together quick little videos about things that I find beautiful, whether they're basic or advanced in the world of machine learning, math, computer science, programming, psychology, whatever, even biology, physics, history, and philosophy. So hope this is a value, fun, and something you you

See all Lex Fridman transcripts on Youtube

Donut-shaped C code that generates a 3D spinning donut