ellipse sums

Here I have taken the ellipse and foci produced by the intersection of the plane through the cone and have used it to make a little animation showing an alternative method of constructing or defining an ellipse. That is, by measuring a curve such that each point on its surface is the constant sum of the length of two lines reaching from that point to its two foci.

 

You know, I think I would really like to study geometry more deeply, best yet as the mathematics of computer graphics. But I would want to study it à la carte, just choose whichever topics seem interesting and fruitful to me, without having to do things in the order someone else decided was best. No prerequisites either. Because if I have to know the math before I can use it then I will never use most of it, because I won't find most of it to be worth my time until I have an application to which it is an essential tool.

 

That's how I think math and physics should be taught, as the tools you need in order to construct your own video game.

Done