Finding equivalent axial coordinates for a wrapping hexagonal map of radius n I'm creating a wrap around hexagonal map that will potentially render infinatly. With the method I'm using, I have an x y coordinate I use to find it's equivalent axial coordinate with the equations Q (sqrt(3) 3 x 1. 3 y) hexSize R (2. 3 y) hexSize the problem is, my map is of radius n and it's possible for the Q R coordinate to be far outside that radius. How can I find the equivalent Q R coordinate within the radius n? I know methods for a single radius outside, but I'm talking the potential of having a radius of 15 but a Q R something like (9999999,99999999). What would that coordinate be in relation to the center of the 15 radius hex region it'd be in?