Mathematical Formula for Pixels Per Inch (PPI)
Pixels Per Inch is calculated using the Pythagorean theorem applied to the horizontal (W) and vertical (H) resolution divided by the diagonal screen size (D):
PPI = √( W² + H² ) / D
Dot Pitch & Visual Acuity Distance
The dot pitch (distance between neighboring sub-pixel centers in millimeters) is:
Dot Pitch = 25.4 / PPI (mm)The Retina Distance represents the minimum viewing distance where individual pixels become indistinguishable to a person with standard 20/20 visual acuity (1 arcminute resolving power):
Retina Distance = 3438 / PPI (inches)