George Pólya Award

!Year

!Recipient

!Article

| William Q. Erickson

| Haste Makes Waste: An Optimization Problem

| Johnner Barrett

| Unlawful Calculations: A Look into Lie’s Notebook

| Joseph Previte and Michelle Previte

| The Beautiful Chaotic Dynamics of iz

| Adrian Rice and Ezra Brown

| Why Hamilton Couldn’t Multiply Triples

| Holly Middleton-Spencer and James Christian

| On the Nth Roots of -1 and Complex Basin Boundaries: Fractals from Newton-Raphson

| Adam Hammett

| Euler's Limit and Stirling's Estimate

| Adam Glesser, Matt Rathbun, Isabel M. Serrano, Bogdan Suceavă

| Eclectic Illuminism: Applications of Affine Geometry

| Christopher J. Catone

| Bringing Calculus into Discrete Math via the Discrete Derivative

| Stanley R. Huddy and Michael A. Jones

| The Calculus Behind Generic Drug Equivalence

| Peter McGrath

| Newton’s Shell Theorem via Archimedes’ Hat Box and Single Variable Calculus

| Ben Blum-Smith and Samuel Coskey

| Fundamental Theorem on Symmetric Polynomials: History’s First Whiff of Galois Theory

| Stephen Kaczkowski

| Mathematical Models for Global Mean Sea Level Rise

| Viktor Blåsjö

| How to Find the Logarithm of Any Number Using Nothing But a Piece of String

| Travis Kowalski

| The Sine of a Single Degree

| Gordon Hamilton, Kiran S. Kedlaya, and Henri Picciotto

| Square-Sum Pair Partitions

| Hassan Boualem and Robert Brouzet

| To Be (a Circle) or Not To Be?

| Michael Brilleslyper and Lisbeth Schaubroeck

| Locating Unimodular Roots

| David Joyner

| The Man Who Found God's Number

| Adam E. Parker

| Who Solved the Bernoulli Differential Equation and How Did They Do It?

| Christiane Rousseau

| How Inge Lehmann Discovered the Inner Core of the Earth

| Jacob Siehler

| The Finite Lamplighter Groups: A Guided Tour

| David Applegate, Marc LeBrun, and Neil J. A. Sloane

| Carryless Arithmetic Mod 10

| Leslie A. Cheteyan, Stewart Hengveld, and Michael A. Jones

| Chutes and Ladders for the Impatient

| T. S. Michael

| Guards, Galleries, Fortresses, and the Octoplex

| Jonathan K. Hodge, Emily Marshall, and Geoff Patterson

| Gerrymandering and Convexity

| John Martin

| The Helen of Geometry

| Andrew Barker

| Evolutionary Stability in the Traveler's Dilemma

| Curtis Feist and Ramin Naimi

| Topology Explains Why Automobile Sunshades Fold Oddly

| Lawrence Brenton

| Remainder Wheels and Group Theory

| Greg N. Frederickson

| Designing a Table Both Swinging and Stable

| Roland Minton and Timothy J. Pennings

| Do Dogs Know Bifurcations?

| Andrew J. Simoson

| Pursuit Curves for the Man in the Moone

| Richard Jerrard, Joel Schneider, Ralph Smallberg, and John Wetzel

| Straw in a Box

| Allen Schwenk

| Distortion of Average Class Size: The Lake Wobegon Effect

| Ezra Brown

| Phoebe Floats!

| James Sandefur

| A Geometric Series from Tennis

| Brian Hopkins and Robin J. Wilson

| The Truth About Königsberg

| Stephen M. Walk

| Mind Your ∃s and ∀s

| Greg N. Frederickson

| A New Wrinkle on an Old Folding Problem

| David L. Finn

| Can a Bicycle Create a Unicycle Track?

| Dan Kalman

| An Underdetermined Linear System for GPS

| Tim Freeman

| Conformality, the Exponential Function, and World Map Projections

| Ezra Brown

| Three Fermat Trails to Elliptic Curves

| Chip Ross and Jody Sorensen

| Will the Real Bifurcation Diagram Please Stand up!

| Martin Gardner

| The Asymmetric Propeller

| Ezra Brown

| Square Roots From 1; 24, 51, 10 to Dan Shanks

| David Bleecker and Larry Wallen

| The World’s Biggest Taco

| Aaron Klebanoff and John Rickert

| Studying the Cantor Dust at the Edge of Feigenbaum Diagrams

| Aimee Johnson and Kathleen Madden

| Putting the Pieces Together: Understanding Robinson’s Nonperiodic Tilings

| Kevin Kirby

| Of Memories, Neurons, and Rank-One Corrections

| Leon Harkleroad

| How Mathematicians Know What Computers Can’t Do

| Chris Christensen and Shreeram S. Abhyankar

| Newton’s Method for Resolving Affected Equations

| James G. Simmonds

| A New Look at an Old Function, eiθ

| John Ewing

| Can We See the Mandelbrot Set?

| Paulo Ribenboim

| Prime Number Records

| Anthony P. Ferzola

| Euler and Differentials

| Dan Kalman

| Six Ways to Sum a Series

| Charles Groetsch

| Inverse Problems and Torricelli’s Law

| Dana N. Mackenzie

| Triquetras and Porisms

| Les Lange and James W. Miller

| A Random Ladder Game: Permutations, Eigenvalues, and Convergence of Markov Chains

| Howard Eves

| Two Surprising Theorems on Cavalieri Congruence

| William Dunham

| Euler and the Fundamental Theorem of Algebra

| Mark F. Schilling

| The Longest Run of Heads

| William B. Gearhart and Harris S. Shultz

| The Function sin(x)/x

| Israel Kleiner

| Evolution of the Function Concept: A Brief Survey

| D. Neidinger

| Automatic Differentiation & APL

| Edward Rozema

| Why Should We Pivot in Gaussian Elimination?

| Beverly L. Brechner and John C. Mayer

| Antoine’s Necklace or How to Keep a Necklace from Falling Apart

| V. Frederick Rickey

| Isaac Newton: Man, Myth, and Mathematics

| Dennis Luciano and Gordon Prichett

| Cryptology: From Caesar Ciphers to Public-Key Cryptosystems

| Constance Reid

| The Autobiography of Julia Robinson

| Irl Bivens

| What a Tangent Line Is When It Isn’t a Limit

| Philip J. Davis

| What Do I Know? A Study of Mathematical Self-Awareness

| Anthony Barcellos

| The Fractal Geometry of Mandelbrot

| Kay Dundas

| To Build a Better Box

| Ruma Falk and Maya Bar-Hillel

| Probabilistic Dependence between Events

| Richard J. Trudeau

| How Big is a Point?

| Warren Page and Vedula N. Murty

| Nearness Relations among Measures of Central Tendency and Dispersion: Part 1

| Douglas R. Hofstadter

| Analogies and Metaphors to Explain Gödel’s Theorem

| Paul R. Halmos

| The Thrills of Abstraction

| Peter Renz

| Mathematical Proof: What It Is and What It Ought to Be

| John Mitchem

| On the History and Solution of the Four-Color Map Problem

| Ennis D. McCune, Robert G. Dean and William D. Clark

| Calculators to Motivate Infinite Composition of Functions

| Don Chakerian

| Circles and Spheres

| Hugh Ouellette and Gordon Bennett

| The Discovery of a Generalization: An Example in Problem Solving

| Robert Nelson

| Pictures, Probability and Paradox

| Richard Plagge

| Fractions without Quotients: Arithmetic of Repeating Decimals

| Richard L. Francis

| A Note on Angle Construction

| Frieda Zames

| Surface Area and the Cylinder Area Paradox

| Allen H. Holmes, Walter J. Sanders and John W. LeDuc

| Statistical Inference for the General Education Student-It Can Be Done

| Julian Weissglass

| Small Groups: An Alternative to the Lecture Method

| Anneli Lax

| Linear Algebra, a Potent Tool