Math
We summarize the week's scientific breakthroughs every Thursday.
- Math
Square of the Hypotenuse
There’s a delightful mathematical moment in the movie Merry Andrew, when Danny Kaye, playing schoolmaster Andrew Larabee, breaks into song to teach the Pythagorean theorem. I was reminded of this scene by a sentence in an article about the Pythagorean theorem in the October issue of Mathematics Magazine. The Pythagorean theorem “is probably the only […]
- Math
Poe’s Secret
Writer Edgar Allan Poe (1809–1849) is famous for his short stories of the mysterious and the macabre. His popular tale “The Gold-Bug,” published in 1843, is often cited as one of the best works of fiction that turn upon a secret message. Poe had a longstanding interest in cryptology. When he became editor of Graham’s […]
- Math
Poe’s Secret
Writer Edgar Allan Poe (1809–1849) is famous for his short stories of the mysterious and the macabre. His popular tale “The Gold-Bug,” published in 1843, is often cited as one of the best works of fiction that turn upon a secret message. Poe had a longstanding interest in cryptology. When he became editor of Graham’s […]
- Math
Mathematical Art on Display
The term “mathematical art” usually conjures up just one name–that of Dutch graphic artist M. C. Escher (1898–1972). Many people are familiar with Escher’s endless staircases, hyperbolic tilings, Möbius ants, intricate tessellations, and other creations. They may also be aware of the intertwining of mathematics and art during the Renaissance, with the development of perspective […]
- Math
Dots and Boxes
The familiar pencil-and-paper game of Dots-and-Boxes sounds exceedingly simple. Given a square or rectangular array of dots, two players take turns joining two adjacent dots with a horizontal or vertical line. When such a move adds the fourth side of a box, the player who did the deed claims the box (marking it with his […]
- Math
Celebrating Artful Math
This year’s “Mathematics Awareness Month” focuses on interactions between mathematics and art. The associated Web pages feature essays, images, and more, all devoted to striking examples of highly creative activities in math and art. Go to: http://mathforum.org/mam/03/
- Math
Fractured Granite and Fractal Prints
A rectangular slab of polished granite gives an impression of solidity and permanence. With its straight lines and glossy surface, it’s an elegant, humanmade artifact meant to stand as a timeless monument or serve as an impermeable skin for a sleek skyscraper. A fractal stone print. Nat Friedman A two-sided fractal stone print by Nat […]
- Math
Math on Stamps
Jeff Miller, a mathematics teacher in Florida, has assembled an amazing collection of images featuring mathematicians and mathematical ideas or events on postage stamps. Check out your favorites, from Niels Henrik Abel to Stanislaw Zaremba. Go to: http://jeff560.tripod.com/.
- Math
Crediting Basketball’s Three-Pointers
The adoption of the three-point field goal in basketball changed the game. Initially, its impact was limited, but in recent years, shooting three-point baskets has had a significant effect on game strategy and outcome. Many sports fans can’t resist the lure of quantifying performance–ranking teams, rating players, and keeping various statistics. Now, statistician Thomas P. […]
- Math
Prime Finding: Mathematicians mind the gap
Mathematicians have taken a significant step toward proving the twin-prime conjecture by simplifying formulas for estimating the average spacing of primes.
- Math
Chomping to Win
Even the simplest of games can pose tough mathematical challenges. One such game is Chomp. It was invented in the early 1970s by David Gale of the University of California, Berkeley, who was also responsible for the board game Bridg-it, and it was later dubbed Chomp by Martin Gardner. Chomp on a 5-by-6 field. The […]
- Math
Disorder in the Deck
Card players sometimes get lazy, shuffling a deck fewer times than necessary to randomize the cards. Indeed, persistently sloppy shuffling can have a significant impact on play–an effect that experts (and gamblers) can exploit to their advantage. However, the problem lay not in the computer but with human expectations. Subsequent research showed that hands in […]
