Random Walk on Pi
You’re looking at pi, transformed into a journey through a base-four number system. Confused? Check it out:
In our normal decimal system (base 10), we count like so: 1, 2, 3, 4 … etc. Easy, right?
In base 4, or a quaternary number system, all numbers are represented by using 0, 1, 2, and 3. If you’re familiar with binary number systems, this will make a lot of sense. So 1=1, 2=2, 3=3, 4=10, 5=11, 6=12, 7=13, and 27=123. So on and so on …
Francisco Javier Aragón Artacho took the first 100 billion digits of pi and converted them to base 4 in a computer algorithm that drew the result. For every quaternary 0, the program turned right, 1 was up, 2 left and 3 down.
The result is this, a walk through pi, an interesting way of reminding us that pi is irrational, and contains no patterns. Math art, you’re pretty.