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Infinite Series
A Breakthrough in Higher Dimensional Spheres
Season 1
Episode 1
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.
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11:46
Peano arithmetic proves many theories in mathematics but does have its limits.
13:29
How do you defeat a creature that grows two heads for every one head you chop off?
10:22
Mathematician Kelsey Houston-Edwards explains exactly what singularities are.
13:20
In this episode probability mathematics and chess collide.
11:31
You’ve always been told that pi is 3.14. This is true, but this number is based on...
10:35
Mathematician Mark Kac asked the question “Can we hear the shape of a drum?”
8:45
You’re about to throw a party with a thousand bottles of wine but...
8:04
There are different sizes of infinity. It turns out that some are larger than others.
8:35
Do two people on the planet have the exact same number of body hairs?
7:39
Is math real or simply something made up by mathematicians?