Representing base 4 numbers as "random walks"
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How would I go about creating a code that would convert a base 4 number into a "random walk"? What I mean by this is in base 4, let 0 be a step downwards, 1 be a step to the left, 2 a step up, and 3 a step to the right. Any tips for creating a code that when I put in a number will produce this walk? Thank you.