ABSTRACT
Imagine a group of mathematicians who meet each month in a se cret club. Status in their "Fractal Society" is based on the prowess with which an individual plays mathematical games and proves math ematical theorems. The center of such activity is a building called the Imaginarium, which is shaped like a Mandelbrot set. There are various pleasurable rewards bestowed upon club members in proportion to the novelty of theorems they solve. A favorite society game is called Fractal Fantasies.
