The dog anolgy is for idiots. The person who came up with it, was not able to water the topic down to convey it.
The points are 3 dimensional tip of a cone. They are the center axis, which runs parrallel the circumference of the rods. The flats are at 90s. We are not talking about an infinite point, but a 3 dimentional finite point. Pencil tip should be a good analogy, but for some reason isn't getting through. If the pencil's are 90 degrees, one side or area is not being touch. More is being touched on the other side.
This should be very clear with two dimensional trianleges. At 90 degrees they both have sides that are touching, and sides that are not. They should not have any sides touching, but rather just their tips. The diamter is drawn from the center. It is created based on the center point. If one is not lined up, none will .
I tend to think either would work. But to think the points doesn't work is ignorant. It sad how Americans have such a poor understand of math and science these days. We have more physcial therapists graduating than engineers.
