Back to Show
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.
Support Provided By
Season
8:16
The proof for Brouwer's Fixed Point Theorem uses a bridge between geometry and algebra.
9:36
How can two people share the same key without someone else getting a hold of it?
10:21
What exactly is a topological space?
8:02
Here we break down Asymmetric crypto and more.
8:21
What happens when you multiply shapes?
7:28
What happens if you multiply things that aren’t numbers?
11:19
Why is there a hexagonal structure in honeycombs? Why not squares?
14:24
The answer lies in the weirdness of floating-point numbers and the computer's perception..
13:45
What happened when a gambler asked for help from a mathematician?
12:04
The theory of social networks allows us to mathematically model and analyze..
14:31
The bizarre Arrow’s Impossibility Theorem, or Arrow’s Paradox.
10:54
What is the best voting system?