A few common love polygons. Note that for a regular n-sided polygon, as n approaches infinity, the form becomes that of a circle-jerk.
This was obviously created more in jest, but I love the idea of using the geometric properties of polygons to explore the emotional nuances of various relationship configurations. The equilateral love triangle compared to the isocoles love triangle is great. I think the other one should technically be an “obtuse love triangle,” though, and only right triangles have hypotenuses.