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The enigmatic equation e^{pi i} = -1 is usually explained using Taylor's formula during a calculus class. This video offers a different perspective, which involves thinking about numbers as actions, and about e^x as something which turns one action into another.
A teaser for some future videos regarding a pattern which lures an unsuspecting doodler into thinking it will be powers of two.
An explanation of a neat circle puzzle involving combinatorics, graphs, Euler's characteristic formula and pascal's triangle.
A description of planar graph duality, and how it can be applied in a particularly elegant proof of Euler's Characteristic Formula.
An exploration of infinite sums, from convergent to divergent, including a brief introduction to the 2-adic metric, all themed on that cycle between discovery and invention in math.
Typically when we think of counting on two hands, we count up to 10, but fingers can contain much more information than that! This video shows how to think about counting in binary.
A connection between a classical puzzle about rational numbers and what makes music harmonious.
