I once invented a whole system of romantic geometry. Love triangles, quadrilaterals, pentagons and so on. I even came up with mathematical-sounding terminology to indicate how many of the lines between vertices in a figure actually represented romances, whether they were heterosexual, whether they were monogamous, etc.
Then I got bogged down somewhere in the middle of three-dimensional geometry (where I added the dimension of time and pictured it like the third spatial dimension: if A loves B and B loves C, but A used to love C and C used to love B, that’s a love triangular prism).
I haven’t gone back to it in a long time. And I certainly don’t plan to do something similar for hate geometry.