Given a unit circle and a step size, N degrees. How many steps of N degrees until there is no gap between points greater then epsilon deg?
Assumptions: yes I know there is logics needed to check for even division into 360, leading to repeat steps.
I am aware of a simple iterative solution where you add a step, do the logic, check conditions and repeat. I am trying to consider if there is a more “mathematical approach” or closed form solution.
NOTES:
I can see that if the rotation is rational, then the set of points is eventually periodic, so that is a good first logic check to see if there even is a solution.
For an irrational rotation, the set of points visited is not periodic, thus eventually the solution will be met but not sure how to equate that to how many steps it will take