Horshugender: A binary gender that is so extremely intense that it actually begins to resemble the “opposite” binary gender. (Name comes from “horseshoe”.)

Spiralgender: A fluid identity where your gender seems to go in circles, but it never quite returns to the exact same gender, only to a similar one.

Imagigender: An alternate gender line that is perpendicular to the male-female gender line. Just as imaginary numbers range from minus infinity*i to zero to plus infinity*i, the imagigender line ranges from one imaginary gender to agender to a second imaginary gender. These two genders need names but I don’t really know what’s best for them even though I definitely feel like the “minus” one is me! Maybe they’re proxvir and juxera?

Also, you can be an imagigender and a “real” gender at the same time. See also the…

Complex Gender Plane! The male-agender-female line and the imagigender line are perpendicular to each other, overlapping at the zero point. You can be male and an imagigender at the same time and this would basically be a point on the complex gender plane.

Gender roots of unity: These are male, female, and the two imagigenders, and also every complex gender that lies on the circle that has that same absolute value away from agender.

Hypergender: A gender that is so intensely male or so intensely female that it goes beyond male or female. (Named for hyperreal numbers.)

Genderessimal: Any gender that is infinitessimal, but still not quite agender. Includes nanogenders, pixelgenders, planckgenders, etc.

Biastosexual/-romantic/-platonic/-sensual/-alterous: An orientation in which the attraction you experience dissipates when and if it is reciprocated.

These are all pretty interesting!

Hypergender already has a definition though

Hypergender: Experiencing a gender with more intensity than is common for your identity, e.g. hyperboy, hypergirl, hyper(gender) etc.

That sounds a lot like preterbinary

Preterbinary: Beyond the the gender binary/spectrum of male and female.

Also Biasto- already exists as akoi/lith

Akoi- / Akoine- / Lith- / Akoin-

An orientation where: A person feels a particular kind of attraction, but does not wish to have it reciprocated OR A person who feels a particular kind of attraction, which fades if it is reciprocated or if they enter a relationship with the person they are attracted to.