[niels_olson]

and the direction of the total step is about 60 degrees off, leaving sqrt(3)/2 step in the right direction.

[gjm11]

If your direction is 60 degrees off then the right-direction component is 1/2, not sqrt(3)/2. (You move sqrt(3)/2 in the perpendicular direction.)

[niels_olson]

this is what happens trying to remember trig after 30 hours on call.