Draw your ‘one’ wonder object and then tell me why it is a circle, square, triangle, polygon, etc… If there was no shape other than the perimeter line or a point they are not objects other than a line or point. There is no squareness, roundness or triangleness.
You know that in a geometric sense, they still need an equation or they are nothing. Even if they are a line or point there must be an equation or else… what is it – just a line or a point? Are you just going to say, “well it was a square or it’s gonna’ be a circle.” If they have different equations, are they the same - equal to?
But what an interesting degenerative argument you have… everything is everything. Well, I guess that is true, we are all made of basic elements. You are you and a tree is a tree though – not the same. Are you saying you are the same because you are made of the same elements?
Elements = lines, points, (molecules)
Equation = shape, (genes, intrinsic properties)
No need to draw anything (besides, in Math, drawings aren't proof.)
I've already pointed out that my degenerate square/circle satisfies the definitions previously provided. That's why it's a square,.... and a circle.
The disproof of my assertion would be to show how my degenerate square/circle violates the definitions. But there's no way to do it, because the definitions do NOT prohibit zero-length sides/radii.