The Pythagorean theorem states that a^2 + b^2 = c^2. But what if we generalise this formula to a^n + b^n = c^n? By changing n we can describe different, non-Euclidean spaces. A circle is defined as a series of points equidistant from its center, so the formula of a unit circle is x^2 + y^2 = 1, and in case you forgot what a circle looks like, it looks like this:
But if we live in a world where n != 2, what does a circle look like? here's n = 1.