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The Carl B. Allendoerfer Awards, established in 1976, are given for articles of expository excellence published in *Mathematics Magazine.* The Awards are named for Carl B. Allendoerfer, a distinguished mathematician at the University of Washington and President of the Mathematical Association of America, 1959-60. This is an award of $500. Up to two of these awards are given annually at the Summer Meeting of the Association.

Khristo N. Boyadzhiev (Ohio Northern University) - "Close Encounters with the Stirling Numbers of the Second Kind" *Mathematics Magazine*, 85:4 (2012), pp. 252-266.

Adrian Rice (Randolph-Macon College) and Ezra Brown (Virginia Tech) - "Why Ellipses Are Not Elliptic Curves" *Mathematics Magazine*, 85:3 (2012), pp. 163-176.

P. Mark Kayll (University of Montana) - “Integrals Don't Have Anything to Do with Discrete Math, Do They?”*Mathematics Magazine*, 84:2 (2011), p. 108-119.

John A. Adam (Old Dominion University) - “Blood Vessel Branching: Beyond the Standard Calculus Problem,"*Mathematics Magazine*, 84:3 (2011), p. 196-207.

Gene Abrams and Jessica K. Sklar, "The Graph Menagerie: Abstract Algebra and the Mad Veterinarian," *Mathematics Magazine*, 83:3 (2010), p. 168-179.

Curtis D. Bennett, Blake Mellor, and Patrick D. Shanahan, "Drawing a Triangle on the Thurston Model of Hyperbolic Space," *Mathematics Magazine*, 83:2 (2010), p. 83-99.

Ezra Brown and Keith Mellinger, "Kirkman's Schoolgirls Wearing Hats and Walking Through Fields of Numbers," *Mathematics Magazine*, vol. 82, no. 1, 2009, pp. 3-15.

David Speyer and Bernd Sturmfels, "Tropical Mathematics," *Mathematics Magazine*, vol. 92, no. 3, 2009, pp. 163-173.

Vesna Stojanoska and Orlin Stoytchev,"Touching the Z2 in Three-Dimensional Rotations," *Mathematics Magazine*, vol. 81, no. 5, December 2008, pp. 345-357.

Jeff Suzuki, "A Brief History of Impossibility" *Mathematics Magazine*, vol. 81, no. 1, February 2008, pp. 27-38.

Eugene Boman, Richard Brazier and Derek Seiple, "Mom! There's an Asteroid in My Closet!" *Mathematics Magazine*, vol. 80, no. 2, April 2007, pp. 104-111.

Chris Christensen, "Polish Mathematicians Finding Patterns in Enigma Messages," *Mathematics Magazine*, vol. 80, no. 4, October 2007, pp. 247-273.

Carl V. Lutzer for "Hammer Juggling, Rotational Instability, and Eigenvalues" *Mathematics Magazine*, v. 79, no. 4, October 2006, pp. 243-250.

Saul Stahl for "The Evolution of the Normal Distribution" *Mathematics Magazine*, v. 79, no. 2, April 2006 pp. 96-113.

Robb T. Koether and John K. Osinach, Jr., "Outwitting the Lying Oracle," *Mathematics Magazine*, vol. 78, May 2005, pp. 98-109.

Jeff Suzuki "The Lost Calculus(1637-1670):Tangency and Optimization Withouts Limits" *Mathematics Magazine*, vol. 78, December 2005, pp. 339-353.

Roger B. Eggleton and William P. Galvin, "Upper Bounds on the Sum of Principal Divisors of an Integer," *Mathematics Magazine*, vol. 77, no. 3, June 2004, pp. 190-200.

Charles I. Delman and Gregory Galperin, "A Tale of Three Circles," *Mathematics Magazine* February 2003, pp.15-32.

Ezra Brown, "The Many Names of (7,3,1)," *Mathematics Magazine*, Vol. 75, 2002, pp.83-94.

Dan Kalman, "Doubly Recusive Multivariate Automatic Differentiation," *Mathematics Magazine*, Vol. 75, 2002, pp.187-202.

Mark McKinzie and Curtis Tuckey, "Higher Trigonometry, Hyperreal Numbers, and Euler's Analysis of Infinities," *Mathematics Magazine*, Vol. 74, No. 5, December 2001, pp.339-368

James N. Brawner, "Dinner, Dancing, and Tennis, Anyone?" *Mathematics Magazine*, 73 (2000).

Raphael Falk Jones, and Janice L. Pearce, "A Postmodern View of Fractions and the Reciprocals of Fermat Primes," *Mathematics Magazine*, (2000).

Donald Teets and Karen Whitehead, "The discovery of Ceres: How Gauss became famous," *Mathematics Magazine*, 72 (1999) 83-91.

Victor Klee and John R. Reay, "Surprising but easily proved geometric decomposition theorem," *Mathematics Magazine*,* *71 (1998)

Donald G. Saari and Fabrice Valognes, "Geometry, voting, and paradoxes," *Mathematics Magazine*,* *71 (1998)

Dan Kalman, Robert Mena, and Shahriar Shahriari, "Variations on an Irrational Theme—Geometry, Dynamics, Algebra," *Mathematics Magazine*,* *70 (1997), 93-104.

Colm Mulcahy, "Plotting and Scheming with Wavelets," *Mathematics Magazine*, 69 (1996), 323-343.

Lin Tan, "Groups of Rational Points on the Unit Circle," *Mathematics Magazine*, 69 (1996), 163-171.

Judith Grabiner, "Descartes and Problem-Solving," *Mathematics Magazine*, 68 (1995), 83-97.

Daniel J. Velleman and Gregory S. Call, "Permutations and Combination Locks," *Mathematics Magazine*, 68 (1995), 243-253.

Lee Badger, "Lazzarini's Lucky Approximation of Pi," *Mathematics Magazine*, 67 (1994), 83-91.

Tristan Needham, "The Geometry of Harmonic Functions," *Mathematics Magazine*, 67 (1994), 92-108.

Joan Hutchinson, "Coloring Ordinary Maps, Maps of Empires, and Maps of the Moon," *Mathematics Magazine*, 66 (1993), 211-226.

Xun-cheng Huang, "From Intermediate Value Theorem to Chaos," *Mathematics Magazine*, 65 (1992), 91-103.

Israel Kleiner, "Rigor and Proof in Mathematics: An Historical Perspective," *Mathematics Magazine*, 64 (1991), 291-314.

Gulbank D. Chakerian and David E. Logothetti, "Cube Slices, Pictorial Triangulations, and Probability," *Mathematics Magazine*, 64 (1991), 219-241.

Ranjan Roy, "The Discovery of the Series Formula for a by Leibniz, Gregory and Nilakantha," *Mathematics Magazine*, 63 (1990), 291-306.

Thomas Archibald, "Connectivity and Smoke-Rings: Green's Second Identity in Its First Fifty Years," *Mathematics Magazine*, 62 (1989), 219-232.

Fan K. Chung, Martin Gardner and Ronald L. Graham, "Steiner Trees on a Checkerboard," *Mathematics Magazine*, 62 (1989), 83-96.

W.B. Raymond Lickorish and Kenneth C. Millett, "The New Polynomial Invariants of Knots and Links," *Mathematics Magazine*, 61 (1988), 3-23.

Judith V. Grabiner, "The Centrality of Mathematics in the History of Western Thought," *Mathematics Magazine*, 61 (1988), 220-230.

Bart Braden, "Pólya's Geometric Picture of Complex Contour Integrals," *Mathematics Magazine*, 60, (1987), 321-327.

Steven Galovich, "Products of Sines and Cosines," *Mathematics Magazine*, 60, (1987), 105-113.

Israel Kleiner, "The Evolution of Group Theory: A Brief Survey," *Mathematics Magazine*, 59 (1986), 195-215.

Paul Zorn, "The Bieberbach Conjecture," * **Mathematics Magazine*, 59 (1986), 131-148.

Bart Braden, "The Design of an Oscillating Sprinkler," *Mathematics Magazine*, 58 (1985), 29-38.

Saul Stahl, "The Other Map Coloring Theorem," *Mathematics Magazine*, 58 (1985), 131-145.

Frederick S. Gass, "Constructive Ordinal Notation Systems," *Mathematics Magazine*, 57 (1984), 131-141.

Philip D. Straffin, Jr. and Bernard Grofman, "Parliamentary Coalitions: A Tour of Models," *Mathematics Magazine*, 57 (1984), 259-274.

Judith V. Grabiner, "The Changing Concept of Change: The Derivative from Fermat to Weierstrass," *Mathematics Magazine*, 56 (1983), 195-206.

Donald O. Koehler, "Mathematics and Literature," *Mathematics Magazine*, 55 (1982), 81-95.

Clifford H. Wagner, "A Generic Approach to Iterative Methods," *Mathematics Magazine*, 55 (1982), 259-273.

J. Ian Richards, "Continued Fractions without Tears," *Mathematics Magazine*, 54 (1981), 163-171.

Marjorie Senechal, "Which Tetrahedra Fill Space?," *Mathematics Magazine*, 54 (1981), 227-243.

Stephen B. Maurer, "The King Chicken Theorems," *Mathematics Magazine*, 53 (1980), 67-80.

Donald E. Sanderson, "Advanced Plane Topology from an Elementary Standpoint," *Mathematics Magazine*, 53 (1980), 81-89.

Victor L. Klee, Jr., "Some Unsolved Problems in Plane Geometry," *Mathematics Magazine*, 52 (1979), 131-145.

Ernst Snapper, "The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism," *Mathematics Magazine*, 52 (1979), 207-216.

Bruce C. Berndt, "Ramanujan's Notebooks," *Mathematics Magazine*, 51 (1978), 147-164.

Doris W. Schattschneider, "Tiling the Plane with Congruent Pentagons," *Mathematics Magazine*, 51 (1978), 29-44.

Geoffrey C. Shephard and Branko Grünbaum, "Tiling by Regular Polygons," *Mathematics Magazine*, 50 (1977), 227-247.

David A. Smith, "Human Population Growth: Stability or Explosion?," *Mathematics Magazine*, 50 (1977), 186-197.

Joseph A. Gallian, "The Search for Finite Simple Groups," *Mathematics Magazine*, 49 (1976), 163-180.

B.L. van der Waerden, "Hamilton's Discovery of Quaternions," *Mathematics Magazine*, 49 (1976), 227-234.