Following yesterday’s experiments with the Random Pi Walk (hat tip Alex Bellos), I’ve upped the ante. The above image is the decimal expansion of the square root of two, following the first one million digits. The data is thanks to Stan Kerr via Project Gutenberg. Each decimal digit 0-9 results in a change of direction of 36 degrees and, in this case, travels 3 pixels in that direction.

The resulting image is MUCH larger than the previous visualizations – click here for the full resolution version.

Hi Jeff,

Great post, I just found your blog. I’m teaching a class on transport at UC Berkeley, can I use your root-2 Random Walk image in a slide?

Best

Aaron Streets

Of course, that would be great! If you don’t mind, would love to see the slides when it’s done, just to see the context.