Space and Transformations

Leonard Mlodinow in Euclid's Window provides this insightful take on location and access to it via both geometry and algebra.

There is more to location than naming a spot [...] The real power of a theory of location resides in the ability to relate different locations, paths, and shapes to each other, and to manipulate them employing equations — in the unification of geometry and algebra.

The key here is "the ability to relate". All in the name of manipulation.

And so for day 652