Random Walk Generated by the Digits of Pi

This Demonstration represents the walk generated from the digits of in various bases by using the Mathematica built-in function AnglePath. Each successive step is a rotation at an angle determined by the digits times 90 degrees. Simple rules here generate a pattern that appears to be essentially random, as explained in Stephen Wolfram's Demonstration Randomness in the Digits of Pi.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.