Math
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We summarize the week's scientific breakthroughs every Thursday.
- 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
Logic in the Blocks
Sliding-block puzzles can be surprisingly difficult to solve and can even serve as theoretical models of computation.
- 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 […]
- 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 […]
- Math
Taxicab Numbers
Curious properties sometimes lurk within seemingly undistinguished numbers. Consider the story concerning Indian mathematician Srinivasa Ramanujan (1887–1920). His friend G.H. Hardy (1877–1947) once remarked that the taxi by which he had arrived had a “dull” number–1729, or 7 x 13 x 19. Ramanujan was quick to point out that 1729 is actually a “very interesting” […]
- Math
Unveiling the work of Archimedes
An ancient manuscript long hidden from public view may provide significant insights into the way Archimedes did his mathematical work more than 2,000 years ago.
- Math
Trailing after double bubbles
A proof of the double-bubble conjecture for the case in which the two bubbles' volumes are unequal appears within reach.
- Math
Dangerous Problems
Some mathematical problems are easy to describe but turn out to be notoriously difficult to solve. Nonetheless, despite their reputed difficulty and repeated warnings from those who had failed to solve them in the past, these infamous problems continue to lure mathematicians into hours, days, and even years of futile labor. Billiard-ball trajectory after 15 […]
- Math
Dangerous Problems
Some mathematical problems are easy to describe but turn out to be notoriously difficult to solve. Nonetheless, despite their reputed difficulty and repeated warnings from those who had failed to solve them in the past, these infamous problems continue to lure mathematicians into hours, days, and even years of futile labor. Billiard-ball trajectory after 15 […]
- Math
Dangerous Problems
Some mathematical problems are easy to describe but turn out to be notoriously difficult to solve. Nonetheless, despite their reputed difficulty and repeated warnings from those who had failed to solve them in the past, these infamous problems continue to lure mathematicians into hours, days, and even years of futile labor. Billiard-ball trajectory after 15 […]
- Math
Dangerous Problems
Some mathematical problems are easy to describe but turn out to be notoriously difficult to solve. Nonetheless, despite their reputed difficulty and repeated warnings from those who had failed to solve them in the past, these infamous problems continue to lure mathematicians into hours, days, and even years of futile labor. In a presentation this […]
- Math
The Math Game
The television game show Who Wants to Be a Millionaire regularly attracts a huge audience. Can a mathematical game show hold its own against such competition–especially without lifelines, dramatic lighting effects, precarious chairs for contestants, and Regis Philbin as host? Probably not, but it can still be great fun. More than 200 mathematicians and students […]