Oh, maybe! I didn’t understand how it chose the points, but it does look like the random convergence approach.

Nice, thanks!

I’m disappointed that none of them seem to have gone with the random convergence approach.

Set the three corners of an equilateral triangle. Pick a random starting point on the canvas. Every iteration, pick a random corner from the triangle and your next point is the midpoint between the current point and that corner. While the original point is almost guaranteed not to be a point in Sierpinski’s triangle, each iteration cuts the distance between the new point and the nearest Sierpinski point in half.

If you start plotting points starting with (say) the 50th one, every pixel is “close enough” to a Sierpinski point that you see the triangle materialize out of nothing. The whole thing could be programmed in about 20 lines of QBasic on DOS 30 years ago.

Wow… Indiewire should find someone who reads their own site to proofread their articles.

If you click on Jeff Bezos’s name, it links to other articles mentioning him, like the 2021 article saying that he would step down as CEO of Amazon in 2022, which is what happened. Yet this 2025 article refers to him as “Amazon CEO”.

Sure, he still owns a lot of Amazon stock and nobody knows who Andy Jassy is, but getting facts that that wrong is pretty ridiculous.

So when you zip some files and then unzip them, some of the bytes are missing? Really?!