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Friendly Frogs, Stable Marriage, and the Magic of Invariance 387 Maria Deijfen, Alexander E. Holroyd, and James B. Martin Holditch's Ellipse Unveiled 403 Juan Monterde and David Rochera On the Steiner–Routh Theorem for Simplices 422 František Marko and Semyon Litvinov Local Extrema and Nonopenness Points of Continuous 436 Functions Marek Balcerzak, Michał Popławski, and Julia Wódka NOTES On the Greatest Common Divisor of the Value of Two 446 Polynomials Péter E. Frenkel and József Pelikán The Stern Diatomic Sequence via Generalized Chebyshev 451 Polynomials Valerio De Angelis Subalgebras of a Polynomial Ring That Are Not Finitely 456 Generated Melvyn B. Nathanson A Geometric Proof of the Siebeck–Marden Theorem 459 Beniamin Bogosel PROBLEMS AND SOLUTIONS 465 BOOK REVIEW Elements of Mathematics: From Euclid to Gödel 475 by John Stillwell by Reuben Hersh END NOTES 480 MATHBITS 444, 479, Mathematical Evolution; 464, A More Direct Proof of the Extreme Value Theorem An Official Publication of the Mathematical Association of America monthly THE AMERICAN MATHEMATICAL VO LU M E 1 24, N O. 5 M AY 20 1 7

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