Mathematician Ludwig Schläfli talks about objects that live in the fourth dimension…
M.C. Escher talks about the adventures of two-dimensional creatures trying to imagine what three-dimensional objects look like.
Hipparchus explains how two numbers can describe the position of a point on a sphere.
He then explains stereographic projection: how can one draw a picture of the Earth on a piece of paper?
This video covers a range of what shapes and properties you’d encounter in higher dimensions.
What does the inside of a tesseract look like? Pascal’s Triangle can tell us.
You can find out how to fairly divide rent between three different people even when you don’t know the third person’s preferences! Find out how with Sperner’s Lemma.
The theory of social networks allows us to mathematically model and analyze the relationships between governments, organizations and even the rival factions warring on Game of Thrones.
What is a the difference between a random and a pseudorandom number? And what can pseudo random numbers allow us to do that random numbers can’t?