I’m calling it the gender and sexuality space, and it’s mostly based on the ideas presented in the gender unicorn infographic. It instructs you to evaluate yourself on 12 different axes, which means you could view this matter as a 12D space in which every individual inhabits a single point.

Some of the axes are just labeled “other”, which doesn’t feel rigorous enough, but let’s just go with the 12D space for the time being. If you were to collect enough data, some interesting 12D shapes could emerge. Maybe there are overlapping “cloud” shapes in the population, who knows.

Have you considered other models than flat plane? Like geometrically hyperbolic gender? Maybe quantum sexuality where it's a wave until you collapse the function by measuring it?

In this geometry, all you need are positive numbers. Complex numbers won’t be required since you can always add another dimension to cover your needs.

Then it becomes rather complex

i don't think so