An interactive exploration of how powers, roots, and logarithms are fundamentally part of a single mathematical pattern. The article argues that traditional notation obscures the relationship between these operations and introduces an arrow-based system—up for power, down for root, and double-down for logarithm—to make their inverse relationships visually obvious.
Main points:
The structural similarity across arithmetic levels from addition to powers
How standard mathematical symbols break visual patterns
A proposal for a more intuitive notation using directional arrows
Practical examples involving finance, music, geology, and public health