Content Teasers for February 2003

## The Canadians Should Have Won!?

What determines an Olympic champion? Perhaps the tallying method.

## Fitch Cheney's Five Card Trick

Amaze your friends with this telepathic trick.

## The Professional Master's Degree

A new option for math majors.

## The Card Game

Make friends and influence people with a little logic.

## Curious Counts

Are you puppeteer or puppet in these perplexing puzzles?

## The Isoperimetric Problem

A twelve-step program to solve the isoperimetric problem.

## Tracking in Virtual Reality

Nearly-forgotten nineteenth-century mathematics provides the key to twenty-first-century problems.

## Problem Section

#### S-73.

Proposed by Sidney Kung, University of North Florida. Let S denote the sum of the positive real numbers a_1, a_2,..., a_n. Prove that the sum as i goes from 1 to n of sqrt((S-a_i)/a_i) is >= n*sqrt(n-1).

#### S-74.

Proposed by Sidney Kung, University of North Floridy. The perpendicular bisector of the side BC of triangle ABC meets the bisector of the interior angle A at P and the bisector of the exterior angle A at Q. Prove that P and Q lie on the circumcircle of ABC.

#### S-75.

Proposed by Andris Cibulis, University of Latvia, Bob Wainwright, New Rochelle, and the editor. Find a region with minimum area which can be tiled by each of the following two polyominoes. (See Math Horizons for the picture of the polyominoes.)