First 100,000 digits of pi and tau: Visual representation and code

There was an interesting post on Reddit for generating a visual representation of the first 100,000 digits of \(\pi\). I modified the code slightly use Brilliant's color palette, and made a variation for producing \(\tau.\) I ran this code on Ubuntu Linux, but it should work on any Unix-based platform (Linux, OS X, BSD, etc), though you will have to figure out how to install dependencies yourself.

This works by generating 100,000 digits, converting them to color pixels in a 2-step process, and then generating a final image. Here's the result:

100,000 digits of pi

If you'd like to do it yourself, you will need basic command-line tools available on Unix, as well as:

the pi utility for generating \(\pi\) quickly; you could use \(\text{arctan}(1)\times4\) as the original code does, but it is so slow that it never finished running on my machine and I gave up after ~30 mins.

On Ubuntu, install dependencies like this:

1

apt-get install imagemagick pi

Here's the original code, modified to use Brilliant colors and for faster execution:

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestThe 3rd digit of PI seems to be wrong in image. Could someone check?

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how can I get long digits of pi in matlab?

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Hi Anton,

I actually made a site a few months ago that builds the first 500,000 digits of pi pixel by pixel.

https://simpleti.me/pi.html

This picture might be based off of it.

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I just found a way to get the value of pi: https://brilliant.org/discussions/thread/i-found-the-value-for-pi-on-my-own

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