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Mathematics Magazine - October 1999

ARTICLES

Farmer Ted Goes Natural
by Greg Martin

Integer Antiprisms and Integer Octahedra
by Blake E. Peterson and James H. Jordan

Integral Triangles
by Raymond A. Beauregard and E R. Suryanarayan

NOTES

Proof Without Words: The Difference Identity for Tangents
by Fukuzo Suzuki

A Combinatorial Interpretation of a Catalan Numbers Identity
by David Callan

Cones, k-Cycles of Linear Operators, and Problem B4 on the 1993 Putnam Competition
by Selwyn Hollis

Flett's Mean Value Theorem for Holomorphic Functions
by R. M. Davitt, R. C. Powers, T. Riedel, and P. K. Sahoo

Fermat's Little Theorem: A Proof by Function Iteration
by Lionel Levine

The Hexachordal Theorem: A Mathematical Look at Interval Relations in Twelve-Tone Composition
by Steven K. Blau

Euler Convergence: Probabilistic Considerations
by Giorgio Metafune, Diego Pallara, and Carlo Sempi

Proof Without Words: The Product of the Perimeter of a Triangle and its Inradius Is Twice the Area of the Triangle
by Grace Lin

Revisiting an Old Favorite. z(2 m)
by Neville Robbins

Once More: Proportionality in the Non-Euclidean Plane
by Dieter Ruoff

Stacks, Bracketings, and CG-Arrangements
by Stephen G. Penrice

Period Doubling Near the Feigenbaum Limit
by J. D. Memory

PROBLEMS

Proposals 1579-1583

Quickies 893-894

Solutions 1554-1558

Answers 893-894

REVIEWS

NEWS AND LETTERS

Carl B. Allendoerfer Awards 1999

Letters to the Editor