The Intersection Points operator in the Transform toolbar for drawings will add a point object at every location where lines intersect each other, including self-intersections.

This command does not change the lines in any way. It simply adds points at the places where lines cross each other.
See also:
Transform - Intersect Lines to add points at intersections and also split lines into separate line objects at intersections.
Transform - Points to add points at all coordinates defining the shape of lines and areas.