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Science News September 9, 2000 Ivars Peterson |
Defending the Roman Empire One issue that often came up in my board-game forays into international intrigue was how to deploy my limited forces to defend far-flung territories while I plotted to conquer the world. Such questions of military strategy can be handled mathematically. |
Science News September 2, 2000 |
Mobius at Fermilab A description of three-dimensional variants of the Mobius band and mathematical forms in art. |
Science News September 2, 2000 |
Dimensions of Math Web site that allows you to Ponder Penrose tilings, gravitational lenses, and tic-tac-toe on a torus. |
Science News August 26, 2000 Ivars Peterson |
Scrambled Grids Amazingly simple mathematical operations can lead to intriguingly complex results. Consider, for instance, the iterative geometric process of creating flaky pastry dough... |
Science News August 19, 2000 Ivars Peterson |
Goldbach's Prime Pairs Evenly divisible only by themselves and one, primes are a rich source of speculative ideas that mathematicians often find simple to state but difficult to prove. The Goldbach conjecture is a prime example of such a conundrum. |
Science News August 12, 2000 Ivars Peterson |
Art of the Grid The practice of laying a grid on top of a drawing, then painstakingly copying each line of the drawing to the corresponding cell of a blank grid has a long history in both mathematics and art. |
Science News July 22, 2000 Ivars Peterson |
Turtle Tracks Using the computer language LOGO, children can produce a list of commands to govern the motion of a "turtle" and trace out a geometric track on the computer screen. Mathematicians can use similar algorithms to generate fractals and other forms. |
Science News July 15, 2000 Ivars Peterson |
Pinpointing Prey The sand scorpion uses two types of sensors on the tips of its legs to detect mechanical vibrations transmitted over relatively short distances across the surface |
Science News July 8, 2000 Ivars Peterson |
Mobius and his Band Discovered in a purely mathematical context, the Mobius strip is the best known of the various toys of topology. Since its discovery in the 19th century, it has also achieved a life of its own beyond mathematics---in magic, science, engineering, literature, music, and art... |
Science News June 17, 2000 Ivars Peterson |
Punctured Polyhedra Is there a polyhedron in Euclidean three-dimensional space that has only finitely many plane faces, each of which is a closed connected subset of the appropriate plane whose relative interior in that plane is multiply connected? |
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