PBS Infinite Series

How do you stack hundred-dimensional oranges? Learn about recent breakthroughs in our understanding of hyperspheres. It tackles the mysteries and the joy of mathematics. From Logic to Calculus, from Probability to Projective Geometry, both entertains and challenges its viewers to take their math game to the next level. Higher dimensional spheres, or hyperspheres, are counter-intuitive and almost impossible to visualize. Mathematician Kelsey Houston-Edwards explains higher dimensional spheres and how recent revelations in sphere packing have exposed truths about 8 and 24 dimensions that we don't even understand in 4 dimensions.

Is math real or simply something made up by mathematicians? You can’t physically touch a number yet using numbers we’re able to build skyscrapers and launch rockets into space. Mathematician Kelsey Houston-Edwards explains this perplexing dilemma and discusses the different viewpoints that philosophers and mathematicians have regarding the realism of mathematics.

Do two people on the planet have the exact same number of body hairs? How about more than two? There’s a simple yet powerful mathematical principle that can help you find out the answer. Kelsey Houston-Edwards breaks down the Pigeonhole Principle and explains how it can be used to answer some pretty perplexing questions.

There are different sizes of infinity. It turns out that some are larger than others. Mathematician Kelsey Houston-Edwards breaks down what these different sizes are and where they belong in The Hierarchy of Infinities.

You’re about to throw a party with a thousand bottles of wine, but you just discovered that one bottle is poisoned! Can you determine exactly which one it is?

Mathematician Mark Kac asked the question “Can we hear the shape of a drum?” It was a question that took over 20 years to answer. Sine waves, fundamental frequencies, eigenvalues, this episode has got it all!