Did you know, from a technical perspective, anything supported by 3 legs would be more stable than anything supported by 4 (or more) legs. This is because geometrically, a plane only requires 3 points to be defined. Adding more points makes it harder to stabilize. Tripods are far more sturdy and stable simply because the 3 points will always perfectly define a plane--regardless of where the vertices of that triangle are.

Mathematically and geometrically, yes. Anything and everything is more more stable on 3 legs, regardless of weight distribution or size.

Think of this: A 3 legged chair is always stable. It'll never rock back and forth, but how many chairs with 4 legs have you sat on where it rocks or leans?

I should clarify, however, that in order for a plane to be defined mathematically via 3 points, we're talking about a triangle, whereas the 3 edges must converge. So, from a geometric perspective, sticking 3 legs on the corners rectangle doesn't satisfy the demands in which the game will be supported when considering weight distribution. The legs would have to be engineered to converge into a single point above the plane.

Regardless, however, a three legged anything will always find a geometric plane, and will not wobble.

Not Eileen?!

Just because I have a bookshelf full of math and science books, doesn't mean I haven't built anything. Or maybe it does. I'm not sure. I'm too busy reading to tell.

No. This is, and it's far less prone to flipping on it's side

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But actually, I was using the words "wobble" and "stability" interchangeably for the sake of linguistic diversity. My apologies if those colloquial irregularities made for a confusing statement, as I didn't really mean it to be interpreted that way. (More or less, what I was trying to convey is that since a 3 legged chair will never wobble, it could be interpreted as having greater stability--even if the weight distribution tips it). You are indeed correct though and thanks for clarifying it better than I could.