greeney2 wrote:confusing me isn't much of a challenge.

Confusion is often felt while learning is occurring.

What I observed was that only combinations with even numbered allowed for the points to intersect the center line between far left and far right points. All combinations with an odd number of center points left the center as a open space and could not intersect that centerline. Not sure if this constitutes some mathematical truth, rule, or not? Not an expert for sure, but maybe it is more a geometry rule of some sort. I am assuming all points are equally spaced on the plane they are appearing.

Well that goes to classify different logics. You're describing a feature about logics.

In fact, you are connecting a fact about logics and geometry. I'm not sure what it means but here's a related insight. Binary logic is defined to have two truth values, "false" and "true" or "0" and "1" or "F" and "T". This could be visualized as a pair of points. Next is three-valued logic which could be visualized by a triangle. 4 truth values as a square. n truth values as an n-sided polygon. That I find interesting is that fewer than three points cannot form a polygon with positive area and fewer than three truth values result in naive set theory being contradictory.