Mathematical Gems
This page contains a number of mathematical problems, concepts,
and arguments that I find intriguing. A number of them roused
or reinforced my interest in mathematics when I was a high
school student.

Why is the square root of 2 irrational?

How do we know that there are infinitely many prime
numbers?

The Four Color Map Problem

Fermat's Last Theorem

Transfinite Numbers, Set Theory.

The Mandelbrot Set,
and some modifications.

The Platonic Solids.
Fine print, your comments, more links, Peter Alfeld,
PA1UM
[20Jan1997]