The algorithm that draws the spiral (in pseudocode):

f(.01, 89.5, .01, 184)

f(dist, angle, incr, segs /*(number of segments)*/)
{
  start in the center of a square view-space, facing east
  repeat segs times:
    go dist * (60% the view-space width) in the current direction
    turn angle degrees clockwise (to your right)
    increment dist by incr
}