Triangles close triangleA polygon ... The techniques used are useful for solving all kinds of other geometry problems too. There are two rules to remember. First, when a diagonal line is drawn ...

It follows that the total number of triangles will be ... Therein lies the beauty of math, or part of it. A good equation is more than a recitation of rules; it expresses why those rules exist ...

A triangle is a triangle on Mars ... exciting is precisely the variability that unfolds from the same set of rules. Math and sports are expressions of our controlled creativity.