Drawing the n million digits of π and e, along with Swift source code. Inspired by http://www.visualcinnamon.com/2015/01/exploring-art-hidden-in-pi.html [OC]

4, 8, 1, 4

You beat me by 2 minutes! I'm wondering the same, and I'm recreating this in Rhino + Grasshopper and seeing if there is a most interesting base.

Here is some quick code I threw together to look at just that! It doesn't generate pi, and it doesn't look all snazzy and colored, but it show geometrically how different bases affect the outcome.

import numpy as np
import matplotlib.pyplot as plt

base = 3
pi = int("1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337")
pi_in_base = np.base_repr(pi, base)
string = str(pi_in_base)
length = len(string)
x_arr = np.zeros(length)
y_arr = np.zeros(length)
for i in range(1,length):
    val = float(string[i-1])
    theta = val/base*2*np.pi
    x_arr[i] = x_arr[i-1] + np.cos(theta)
    y_arr[i] = y_arr[i-1] + np.sin(theta)

plt.plot(x_arr, y_arr)
plt.show()

edit: sample comparison output http://imgur.com/DO0K3DI

This comment has been overwritten by an open source script to protect this user's privacy. It was created to help protect users from doxing, stalking, harassment, and profiling for the purposes of censorship.

If you would also like to protect yourself, add the Chrome extension TamperMonkey, or the Firefox extension GreaseMonkey and add this open source script.

Then simply click on your username on Reddit, go to the comments tab, scroll down as far as possible (hint:use RES), and hit the new OVERWRITE button at the top.

quick! someone do a 3d visualization using base 6. or slices of a 4d representation in base 8?

the point walks depending on the digit. for example, if the next digit is 0, the point moves up and if the next digit is five the point moves down. the idea being that the digits of pi, if random, would produce a random walk, since every number would have an equal probability of appearing next. in that case, the point would just wobble around a central location. it seems, based on this, that 2-6 are more likely to appear for the first part, then 5-8, and finally 7-1. interesting. and nice color choice!

can you do this for other important numbers? the gravitational constant? the gas constant? e? a random number?

I quickly made a crude black-and-white version of 10000000 randomly generated numbers between 0 and 360 (degrees) which are then mapped to x-y space. Conceptually, there should not be a difference right? Except for rounding of angle, basically! http://imgur.com/1XoqILW

Damn you're fine...

code and tools: https://github.com/nst/BitmapCanvas/

data source for pi digits: https://www.angio.net/pi/digits.html

data source for e digits: http://apod.nasa.gov/htmltest/gifcity/e.2mil