• Male/Female - this is the actual biological sex, it is almost completely binary, there is only a very small set of individuals that fall somewhere between poles along a single axis due to hormonal variation and unusual chromosomal expression. Most people are on one or the other pole, morphologically.


• Straight/Gay - this is sexual orientation, a completely different graph, with an x axis where the weight is largely concentrated on either end (mostly attracted to male, mostly attracted to female), but with a much larger spread across the middle than the Male/Female axis. I think there is also a Y axis here that graphs the degree the individual is sexually motivated at all. High Ys are highly sexual, low Ys are asexual. Most everyone is a point somewhere on this plane, moving up and down along the Y fairly freely over the course of their lives, but mostly hovering around the same x position they found themselves in when they became sexually aware, with maybe a little fluctuation, but for most people not much.


• Masculine/Feminine - This is the gender graph, that we are talking about in the twitter conversation in the picture. It's another completely different graph, and it occured to us last night that maybe it's a sphere with possibly infinite axes.

That's like a logical progression from a one dimensional line (sex) to a two dimensional plane (orientation) to a three dimensional sphere (gender).

Also, the vertices you mention actually describe an octohedron