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Mathematics Magazine - February 2000

ARTICLES

The Lengthening Shadow: The Story of Related Rates
by Bill Austin, Don Barry, and David Berman

Proof Without Words: Self-Complementary Graphs
by Stephan C. Carlson

Chaotic Results for a Triangular Map of the Square
by Ben Shanfelder and Annalisa Crannell

On Minimum Spanning Trees and Determinants
by Perrin Wright

NOTES

Dinner, Dancing, and Tennis, Anyone?
by James N. Brawner

Variations on a Theme: A, Definitely Has No Subgroup of Order Six!
by Michael Brennan and Des MacHale

A Principle of Countability
by Robert Kantrowitz

Math Bite: The Dagwood Random Nap
by W. D. Kaigh and Wilke D. English

A Combinatorial Approach to Sums of Integer Powers
by George Mackiw

Rounding Errors to Knock Your Stocks Off
by Yves Nievergelt False Conjecture is True ne-Way, by Zachary Al. I Franco

Triangles With Integer Sides, Revisited
by Michael D. Hirschhorn

Matti Bite: Enumerating Certain Sparse Matrices
by David Callan

How Many Magic Squares Are There?
by Carl Libis, J. D. Phillips, and Mike Spa//

Proof Without Words: Pythagorean Runs
by Michael Boardman

Shortest Shoelaces
by Daniel C. Isaksen

PROBLEMS

Proposals 1589-1593
Quickies 897- 898
Solutions 1-564- 1-568
Answers 897-898

REVIEWS

NEWS AND LETTERS

60th Annual William Lowell Putnam Mathematical Competition

Dummy View - NOT TO BE DELETED