under the southern cross I stand ...
But there's still only XX and XY and it doesn't matter what you think, you're one or the other (vanishingly rare exceptions stipulated).
So your training was a very long time ago, before the HGP.
An organism is not formed from the genes, but the expression on them, combinations of them. Genes can be present but not switched on.
A piano has only a few keys, but the variations of music it can produce is endless.