So I always thought that geometry is somewhat different from the rest of math. I mean, most of math is about numbers and relations. While geometry is about space. Does analysis connect the two? For example, the hypotenuse of a triangle is just a truncated portion of the number line that has been completely filled with the real numbers. And shapes can be plotted in a cartesian coordinate system where the functions are shown to be continuous, basically a mapping of the number line. So basically shapes under that logic would be made of dense numbers.