How laughable. Genius rankings are normally determined by IQ, which serious psychologists understand to be an almost meaningless measure. What you are claiming as a proven scientific fact is actually regarded as nonsense.

As to spatial awareness, you might ask air forces around the world why they say women make excellent fighter pilots. Starting decades ago with the Israeli army, militarys began to realize that women often outperform men in the cockpit. Today, it's simply accepted fact that women are not at a general disadvantage to men in that environment, in which extraordinary spatial awareness is a minimum, basic requirement.