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


Snapshots


Details

detailSectionParagraph


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send