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Algorithmic Precision: The Mathematical Limits of Human-Computer Interaction

Targets, Milliseconds, and the Unforgiving Kinematic Physics in Modern Digital Interface Design

By: Joseph M. Murphy

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eBook | 26 March 2026

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Why are the "Submit" buttons on websites always so large, while the "Delete Account" links are microscopic text buried at the bottom of the page? It is not just visual hierarchy; it is the direct application of a strict mathematical formula known as Fitts's Law. Developed in 1954, Fitts's Law is a predictive model of human movement. It calculates the exact millisecond time required for a human to rapidly move a cursor to a target area, proving that the time is a function of the distance to the target divided by the size of the target. This book breaks down the kinematic physics governing our daily digital lives. We explore how UI/UX engineers weaponize this formula. By placing frequently used tools on the infinite edges of a screen (where the target size is mathematically limitless), or deliberately shrinking destructive buttons to increase the time and friction of a click, designers control our digital pacing. Master the invisible physics of the screen. Understand the biomechanical equations that dictate every single interaction you have with your computer.