Fizz buzz walk

I ran across a graphic yesterday made by taking a sequence of steps of the same length, turning left on the nth step if n is prime, and otherwise continuing in the same direction.

I wondered what the analogous walk would look like for Fizz Buzz. There are several variations on Fizz Buzz, and the one that produced the most interesting visualization was to turn left when a number either is divisible by 7 or contains the digit 7.

I wrote about something similar four years ago using a different rule for turning. That post looks at a walk on the complex numbers, turning left when you land on a Gaussian prime, a generalization of primes for complex numbers. These images have more symmetry and form closed loops. For example, here’s the walk you get starting at 3 + 5i.

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