> Sure, notation can be better, and maybe this triangle of power is a cute way to make it better. Notation changes and improves all the time, btw. Well, all the

> Sure, notation can be better, and maybe this triangle of power is a cute way to make it better. Notation changes and improves all the time, btw. Well, all the time in the mathematical scale of time, which is two or three millenia. In this scale, things like the Greek letter for the ratio of circumference to diameter are remarkably modern, merely 300 years old. Notation for linear algebra is even newer, all from the 20th century. Forget linear algebra, modern notation for regular algebra is from the 19th century. And the form of the notation absolutely does matter to learning and comprehension. Ancient Babylonians knew how to solve quadratic equations, but you basically had to be a professional mathematician to understand the way they phrased problems and work with their notation. More well known is the notoriety of Roman numerals for doing basic arithmetic. It takes more than 20 pages to explain fractions with Roman numerals: http://dmaher.org/Publications/romanarithmetic.pdf http://dmaher.org/Publications/romanarithmetic.pdf