Math
We summarize the week's scientific breakthroughs every Thursday.
- Math
Tetris Is Hard
As many computer- and video-game players have long known, the insanely addictive, immensely popular game of Tetris is tough. You can’t really win; you merely try your best to improve upon previous results. The seven tetrominoes of Tetris. The game was invented in 1985 by mathematician Alexey Pajitnov, then a computer engineer at the Academy […]
- Math
Whirling to a chaotic finale
A black hole paired with another body can succumb to chaos when they orbit each other, making it more difficult to detect gravitational waves produced by such objects.
- Math
Traffic woes of the single driver
At moderate traffic volumes, a single car moving at randomly fluctuating speeds can cause traffic jams in its wake.
- Math
Spinning to a rolling stop
Air viscosity makes the rolling speed of a spinning, tipping coin go up as its energy goes down until the coin suddenly stops.
- Math
Prime Pursuit
A novel approach for identifying prime numbers provides a long-sought improvement in the theoretical efficiency of prime-detecting algorithms.
- Math
Changes of Mathematical State
Untangling a web of conflicting demands can be tough on computers.
- Math
A Fibonacci Fountain
The year 1202 saw the publication of one of the most famous and influential books in mathematics. Widely copied and imitated, Liber abaci introduced the use of Arabic numerals and the Hindu-Arabic place-valued decimal system into Europe. It was written by Leonardo Pisano, who became better known by his nickname Fibonacci. Helaman Ferguson’s Fibonacci Fountain. […]
- Math
A Fibonacci Fountain
The year 1202 saw the publication of one of the most famous and influential books in mathematics. Widely copied and imitated, Liber abaci introduced the use of Arabic numerals and the Hindu-Arabic place-valued decimal system into Europe. It was written by Leonardo Pisano, who became better known by his nickname Fibonacci. Helaman Ferguson’s Fibonacci Fountain. […]
- Math
Completing Latin Squares
Using only the numbers 1, 2, 3, and 4, arrange four sets of these numbers into a four-by-four array so that no column or row contains the same two numbers. The result is known as a Latin square. Here are two examples of Latin squares of order 4: 1 2 3 4 2 1 4 […]
- Math
Catching Flies
Archerfish and baseball outfielders appear to use different strategies to snag a projectile. Archerfish (Toxotes jaculatrix) are famous for their unusual way of hunting insect prey. Upon spying an insect on a twig or a piece of foliage hanging above the water surface, the fish shoots it down using a strong, accurately aimed jet of […]
- Math
Tilt-A-Whirl Chaos (II)
Tilt-A-Whirl in action. Sellner Manufacturing Co. The Tilt-A-Whirl amusement park ride serves as a wonderful example of a chaotic system. The unpredictable motion of the Tilt-A-Whirl’s cars occurs when the ride’s seven platforms travel at a speed of about 6.5 revolutions per minute along the undulating, circular track (see Tilt-A-Whirl Chaos (I), April 22, 2000). […]
- Math
Tilt-A-Whirl Chaos (I)
Tilt-A-Whirl. Sellner Manufacturing Co. Schematic drawing (top view) showing the Tilt-A-Whirl’s geometry. Much of the fun of an amusement park ride results from its stomach-churning, mind-jangling unpredictability. The Tilt-A-Whirl, for example, spins its passengers in one direction, then another, sometimes hesitating between forays and sometimes swinging abruptly from one motion to another. A rider never […]
