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The Image of a Square 99 Annalisa Crannell, Marc Frantz, and Fumiko Futamura Experimental Math for Math Monthly Problems 116 Allen Stenger Characterizing Additive Systems 132 Michael Maltenfort Rotating Multiple Sets of Labeled Points to Bring Them Into Close Coincidence: A Generalized Wahba Problem 149 Bisharah Libbus, Gordon Simons, and Yi-Ching Yao NOTES Generalized Infinite Products for Powers of e 1/k 161 Scott Ginebaugh Sums of Quadratic Residues and Nonresidues 166 Christian Aebi and Grant Cairns A Note on Average of Roots of Unity 170 Chatchawan Panraksa and Pornrat Ruengrot Maximal Area of Equilateral Small Polygons 175 Charles Audet PROBLEMS AND SOLUTIONS 179 REVIEWS The Philosophies of Mathematics 188 by Alan Baker MATHBIT 169, Another Proof That There Are Infinitely Many Primes An Official Publication of the Mathematical Association of America monthly THE AMERICAN MATHEMATICAL VO LU M E 1 24, N O. 2 F E B R UA RY 20 1 7

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