The Fibonacci Sequence is the series of numbers:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

The next number is found by adding up the two numbers before it — and it is in nature …

A Bunch of Interesting Stuff

The Fibonacci Sequence is the series of numbers:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

The next number is found by adding up the two numbers before it — and it is in nature …

Using the fundamentals of set theory, explore the mind-bending concept of the “infinity of infinities” — and how it led mathematicians to conclude that math itself contains unanswerable questions.

Have you ever tried to guess how many pieces of candy there are in a jar? Or tackled a mindbender like: “How many piano tuners are there in Chicago?” Physicist Enrico Fermi was very good at problems like these — learn how he used the power of 10 to make amazingly fast estimations of big numbers.

Can folding a piece of paper 45 times get you to the moon? By seeing what happens when folding just one piece of paper, we see the unbelievable potential of exponential growth. This lesson will leave you wanting to grab a piece of paper to see how many times you can fold it!

If you have ever struggled to complete classic Nintendo games, don’t feel bad – they are officially difficult.

An analysis of the computational complexity of video games, including those in the Mario and Legend of Zelda series, proves that many of them belong to a class of mathematical problems called NP-hard. This means that for a given game level, it can be very difficult to work out whether it is possible for a player to reach the end. Learn more here.

Probability theory is the branch of mathematics concerned with analysis of random phenomena. In most four-choice multiple choice questions, your probability of being correct is 1 in 4. Not so with this question:

See how the entire human population is slowly getting rich and healthier:

A popular belief holds that it is impossible to fold a sheet of paper in half more than 7 times.

Suppose that you start with an standard A4 sheet of paper – about 300 mm long, and about 0.05 mm thick.

The first time you fold it in half, it becomes 150 mm long and 0.1 mm thick. The second fold takes it to 75 mm long and 0.2 mm thick. By the 8th fold (if you can get there), you have a blob of paper 1.25 mm long, but 12.8 mm thick. It’s now thicker than it is long, and, if you’re trying to bend it, seems to have the structural integrity of steel.

In fact, if you had a sheet of paper, and folded it in half 50 times, how thick would it be? The answer is about 100 million kilometres, which is about two thirds of the distance between the Sun and the Earth.

In fact it is possible to fold paper 12 times you would need about 1.2 km of paper. A high school student called Britney Gallivan did it in 2002.

After some searching she found a roll of special toilet paper that would suit her needs – and that cost US $85. With her parents, she rolled out the jumbo toilet paper, marked the halfway point, and folded it the first time. It took a while, because it was a long way to the end of the paper. Then she folded the paper the second time, and then again and again.

After seven hours, she folded her paper for the 11th time into a skinny slab, about 80 cm wide and 40 cm high, and posed for photos. She then folded it another time to get that 12th fold. Read more here or here.

Starting with the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …) here’s a movie inspired by numbers, geometry and nature: