Using Irrational Square Roots to Create Planar Walks
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Since the digits in any base of an irrational number such as never exhibit periodicity, they can be used to create a nonterminating infinite walk. Using base 4 allows a coding of the four directions. The walk shown corresponds to the first digits of , where is the positive integer that is not a perfect square. The walks start at the green point and end at the red point.
Contributed by: Videh Seksaria (August 2013)
Open content licensed under CC BY-NC-SA
"Using Irrational Square Roots to Create Planar Walks"
Wolfram Demonstrations Project
Published: August 20 2013