Sphereology Part 1: Up to the Third Dimension

We have an amazing mathematics system that is thousands of years in the making. Every time a problem comes up, mathematicians worldwide work until an agreed solution is found. After all this time, these great minds have mastered the standard Cartesian grid that has set the basis for everything we do in a daily life. Yet one detail gives a constant impression that the math we use doesn't completely define the universe, as math should. This one small detail is at the limits of our number syst...