Visualizing double points.

65 Views Asked by At

I was trying to visualize by drawing a curve / figure to get a double point on a curve. As per the Wolfram article, a double point is a point traced out twice as a closed curve is traversed.

Any visualization insights, intuition, figures of a double point would be much helpful.

1

There are 1 best solutions below

3
On

"8" and "$\infty$". "$" has three.

And the graph of $y^2 = x^3 - 3x+2$ has one at $(1,0)$. Elliptic curve self-intersection

Why not $r = \cos^2(\theta)$ in polar coordinates? Polar plot