Hidden Fractions: The Invisible Mathematics of 8-Bit Momentum

When you play a classic 8-bit platformer like Super Mario Bros., the character's movement feels incredibly smooth, weighty, and precise. But this presents a massive logical contradiction: on a strict, chunky grid of low-resolution pixels, how can a character accelerate smoothly without instantly jumping from one full block to the next?The secret lies in the brilliant programming trick of sub-pixel...