For 50 years, scientists believed that schools of fish would save the most energy by swimming in flat diamond formations.

Analyze the time and space complexity of your solution. Compare your solution to others and identify areas for improvement.

"A common reproductive assumption was that each pair of rabbits begets another pair every month. Start with a single rabbit pair, and successive populations will then follow the sequence 1, 2, 4 ...

Liverpool's title win has completed the opening of an exceptional set of numbers that has been 33 years in the making. The sequence emerges when we rank Liverpool alongside the other clubs that ...

As the numbers in the Fibonacci sequence grow larger, if you divide each number by the previous number in the sequence, the sum will always be roughly 1.618, also known as Phi.

The Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones (1, 1, 2, 3, 5, 8, 13, 21, …), is found throughout the natural world.

Mathematics How Fibonacci numbers give us a neat hack for converting between units. Do you need to convert miles to kilometres, or vice versa? Try this handy trick that uses the Fibonacci sequence ...

Fibonacci sequence explained. The Fibonacci sequence is a series of numbers in which each number is the sum of the two that precede it. Starting at 0 and 1, the first 10 numbers of the sequence ...

The key Fibonacci ratio of 61.8% is found by dividing one number in the series by the number that follows it. For example, 21 divided by 34 equals 0.6176, and 55 divided by 89 equals about 0.61798.