Actually, what I said was wrong, "good catch." A point is zero dimensional. A line is one-dimensional. A plane is two dimensional.
A cone is three dimensional.
The point at the tip of the apex can touch the point at the tip of another apex with many different orientations of the cones.
The point on top or your head however is destined to remain firmly planted up your ass.
It two tips are not meeting a their tips, then one is hitting the others side, or cone.
You're trying to make an argument using geometry, but you're not using the geometric definition of the term "point." You're using a different definition. Try using the correct one.
A point is dimensionless. It has no length, width, or depth. Therefore it has no sides.
