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The Ancient World's Magical Genius Thinks BigErza Brown For some historical figures, legend blends into fact almost from the beginning. So it was with antiquity's greatest scientific mind. They say that he discovered laws of physics while lying in a bathtub. set sailing vessels on fire with mirrors, and drew a ship out of the water with his bare hands. Maybe he did---maybe he didn't. In this story, we will learn something of his life and just exactly how big he thought. All you need to know is his name: Archimedes. |

A Conversation with Scott KimGwen Spencer Scott Kim is a master puzzle designer and a master of symmetry. When describing the major interests of each phase of his life (math and music, visual arts and computer science, puzzles and education,) Kim emphasizes the ties rather than the differences between them. |

Chaos Rules!Robert L. Devaney Learn the rules of the "Chaos Game" which produce the Sierpinski triangle and other fractals. In fact, just by looking at a fractal, you can read off the rules of the game that produces it. |

Polyhedra from PyramidsHans Walser As a gift to |

The results of our call for mathematical tattoos. See Kira Hamman's infinity, Daniel Look's e^{pi i} + 1 =0, Allen Killpatrick's "Pi in the face", Anna Kates' Fibonacci spiral, Laurel Benjamin's two tattoos in a tutu, Stephen Carr's triquera knot, Michael Campola's cardioid, Emily King's Mobius strip and fractal belly button, Janna Eckhardt's Pi, Elisabeth Ring's Infinities, and Chuck Biehl's Escher tiling. |

Alumni Profiles: Appalachian State UniversitySarah J. Greenwald & Holly P. Hirst ASU profiles mathematics graduates Julie Cannon, Danny Eldreth, Jason Kincaid, Jeremy Lane, Jason Matthews, and Carmen Kincaid Wilson. |

A Continuity QuandaryPaul K. Stockmeyer Have you always thought that the epsilon-delta definition of continuity was unnecessarily complicated? Follow Freddie Freshman and Sally Sophomore as they puzzle their way through a definition that took over 100 years to be developed and perfected. |

Remembering Murray KlamkinAndy Liu We are sad to report to passing of Murray S. Klamkin on August 6, 2004. Professor Klamkin was Editor of the Problems Section of this magazine from 1995 to 2001. and was co-Editor with Andy Liu through 2003. A more detailed celebration of Murray Klamkin's life is available here. |

REU Spotlight: Lafayette CollegeGary Gordon This one must be read with tongue firmly planted in cheek. |

ReviewsRebecca Jungman & Aaron Magid Rebecca Jungman reviews |

Taming Mathematical MonstersRobert W. Vallin Can a function be scary? Yes, very! This article investigates the properties of continuity and differentiability and tries to see just how ugly a function can be constructed. |

Problem Section Andy Liu |

Contest: Create an Inversion!
Inversions are words that can be read more than one way. When turned upside-down or reflected they can spell the same thing of maybe spell a related word. Our challenge to you is to create an inversion with a mathematical theme. |