Column
- Math
Doing the Wave
It was the first home game of the season for the University of Maryland football team. About 48,000 fans had crowded into Byrd Stadium to watch the Terrapins take on the University of Akron Zips. Inevitably, during a lull in what turned out to be a rather one-sided contest, the assembled spectators created their own […]
- Math
A Fair Deal for Housemates
A triangulated triangle with a proper Sperner labeling and an odd number (3) of elementary triangles possessing all three labels (shown in color). Four friends move into a house and find they must choose among four rooms of different size and quality. Instead of sharing the rent equally, they decide to divide the total so […]
- Math
Solving an Ancient African Game
The game of awari has entranced players for thousands of years. Originating in Africa, it remains a popular pastime in many parts of the world. Awari and its numerous variants are instances of “count-and-capture” strategy games, and they are known generically as mancala games. In its traditional form, the awari game “board” consists of two […]
- Math
Golden Blossoms, Pi Flowers
In the head of a sunflower, the tiny florets that turn into seeds are typically arranged in two intersecting families of spirals, one winding clockwise and the other winding counterclockwise. Count the number of florets along a spiral and you are likely to find 21, 34, 55, 89, or 144. Indeed, if 34 floret (or […]
- Math
Losing to Win
It’s a gift to born losers. Researchers have demonstrated that two games of chance, each guaranteed to give a player a predominance of losses in the long term, can add up to a winning outcome if the player alternates randomly between the two games. This striking new result in game theory is now called Parrondo’s […]
- Math
Probabilities in Bingo
One of the little pleasures of our annual winter vacation is an evening Bingo party. After a day of sledding and cross-country skiing, it’s relaxing to indulge in a social game that requires minimal thought, affords young and old the same chance of winning, and has a strong element of suspense. To play Bingo, each […]
- Math
Troublesome Weather Trends
Unlike the day or year, the week isn’t tied to any naturally recurring phenomenon. When meteorologists detect a trend that follows a weekly rhythm, they suspect that human activities–and the 5-day work week–are responsible. In 1998, researchers at Arizona State University in Tempe reported that daily oceanic rainfall shows a weekly precipitation cycle across a […]
- Math
Troublesome Weather Trends
Unlike the day or year, the week isn’t tied to any naturally recurring phenomenon. When meteorologists detect a trend that follows a weekly rhythm, they suspect that human activities–and the 5-day work week–are responsible. In 1998, researchers at Arizona State University in Tempe reported that daily oceanic rainfall shows a weekly precipitation cycle across a […]
- Math
Testing for Divisibility
The crisp new dollar bill that I have just taken from my wallet bears the serial number 24598176. It’s easy to tell that the number is exactly divisible by 2 but not by 5. Is it divisible by 3? by 4? by 11? In a 1962 Scientific American article, Martin Gardner noted that during the […]
- Math
Jazzing Up Euclid’s Algorithm
Earlier this year, the journal Computing in Science & Engineering (CISE) published a list of the top 10 algorithms of the century (see http://computer.org/cise/articles/Top_Algorithms.htm). “Computational algorithms are probably as old as civilization,” Francis Sullivan of the Institute for Defense Analyses’ Center for Computing Sciences in Bowie, Md. noted in an editorial in the January/February issue […]
- Math
A Minimal Winter’s Tale
The organizers of the Breckenridge snow sculpture championships in Colorado must be getting used to having a mathematical element in their annual competition. A simple version of Enneper’s surface just before (above) and just after (below) it self-intersects. The award-winning snow sculpture of Enneper’s surface. For the second year in a row, a team assembled […]
- Math
Home Runs and Ballparks
When baseball slugger Mark McGwire of the St. Louis Cardinals hit his record-breaking, 62nd home run on Sept. 8, 1998, the ball barely passed over the left field fence at Busch Stadium in St. Louis. The same hit would not have been a home run at, say, Fenway Park in Boston. This episode suggests an […]
