Content Teasers for April 2003

## Simpsons Rule!

Great mathematical moments from Springfield.

## Truels and the Future

Be optimistic and live longer.

## The Math Circle

Honeybees, Fibonaccis, and Renaissance banking: Sunday morning math class in Boston.

## A Mathematical Look at a Medieval Cathedra

The prerequisite for stonemasonry? Mathematics.

## Mathematics Takes Shape

Sculpture inspired by mathematics: a photo essay.

## A Tale Both Shocking and Hyperbolic

What M.C. Escher learned about non-Euclidean geometry.

## Unreasonable Effectiveness

Did you ever wonder why mathematics is so effective in describing the real world?

## Problem Section

#### S-76.

Proposed by Michael C. Rotundo (graduate student), Rochester, NY. Let m, n, p, and q be positive integers with p and q relatively prime and not both 1. Solve the equation p^{mx} + q^{nx}=0 over the complex number field.

#### S-77.

Let a, b, and c be distinct real numbers. Solve the following system of equations for real variables x, y, and z: x/(1+a) + y/(2+a) + z/(3+a)=1, x/(1+b) + y/(2+b) + z/(3+b)=1, x/(1+c) + y/(2+c) + z/(3+c)=1.

## The Final Exam: Line 'em up

A puzzle by Barry Cipra based on the conceptual art of Sol LeWitt.