When you cut a cylinder diagonally, it's easy to understand that a symmetrical ellipse will appear.
However, when cutting a cone diagonally, initially, I couldn't imagine that it would create a perfectly symmetrical ellipse. I thought it might be more of an asymmetrical elliptical shape, with the upper part being shorter and the lower part being longer, almost resembling an egg shape.
So, my question is: do people with good spatial ability immediately see it as a perfectly symmetrical ellipse without much logical thought? I'm really curious about this. Also, if someone can immediately perceive this symmetry in a cone, would they also perceive the cut of a trumpet-shaped object as producing a symmetrical ellipse?
