The first 4,000,000 digits of Pi, visualized in a single image

Image for article titled The first 4,000,000 digits of Pi, visualized in a single image

Pi is what's known as an irrational number, which means that its decimal representation is both infinite and non-repeating.

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We've been using computers to calculate the digits of Pi for decades. In 1949, John von Neumann and his colleagues used ENIAC — the world's first general-purpose electronic computer — to calculate Pi to the 2,037th digit. We surpassed the million-digit milestone in 1973. And on October 17, 2011, after 371 days of computing, Shigeru Kondo finished calculating Pi to 10 trillion decimal places.

The picture up top is adapted from a rather simple but effective piece of data visualization, created by the folks at design studio TWO-N, which represents the first four-million digits of Pi in a brilliant mess of interactive pointillism.

Image for article titled The first 4,000,000 digits of Pi, visualized in a single image

Each digit, from 0-9, was assigned a color based on the legend pictured here, and then rendered as a single, 1x1 pixel. Line the pixels up in the order designated by Pi, confine them to a 4-millon pixel image, and you get this interactive applet here, which lets you soar around the entire image, inspecting 500,000-digit sections at a clip. There's even an interesting search function that lets you probe the mathematical mosaic for number up to eight digits in length. [TWO-N via information aesthetics]

DISCUSSION

By
Hell Bender

Got a question for all the mathematicians in the audience. Why does Pi get all the attention when it comes to irrational numbers? Is it the longest irrational number? What about the Golden Ratio 1.6180339887498948482…?

Now that's a thing of beauty. Literally.

Has the Golden Ratio ever been calculated all the way out?