# Using Irrational Square Roots to Create Planar Walks

Using Irrational Square Roots to Create Planar Walks

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.

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