R = 3mi/tan(0.0434deg).
The angular resolution limit of the human eye is 1 arc minute or approximately 0.02deg. Information loss occurs when the angular size of an object is smaller than this angle. This angle, at 0.0217deg, was used to derive the radius. The horizon gain for a 6ft observer across 0.0217deg was inverted as height/information loss across the same angle, and the two angles were used to construct a ball with a tilt angle of 0.0434deg. This angle represents the 6’ drop from a 6’ observer across the average horizon distance of 3mi, and it was extrapolated near/far to derive the radius of a sphere. Your eyes are the radius of earth. Look up with new eyes.