Math on the Beach
Simon doing math everywhere. And he showed me this beautiful trick of two rows adding up to equal numbers and their squares adding up to equal numbers. And the two … Continue reading Math on the Beach
Category: Simon teaching
A Pythagorean triple
Proving a Pythagorean triple. 3Blue1Brown did it in another way, using i.
Knots and Links
Simon explains: The Knot Atlas is a complete catalogue of all the possible knots and links and links with 3 or fewer components and 11 or fewer crossings. The number … Continue reading Knots and Links
Tricks with paperclips and Knot Theory
Simon is pretty obsessed with Knot Theory at the moment (a mathematical theory that is widely used in advanced biology and chemistry, for example in handling tangled DNA). He also … Continue reading Tricks with paperclips and Knot Theory
The three stated of matter (plasma not included)
Inspired by a Numberphile video with Tadashi Tokieda.
Circle passing through a smaller square
Simon made a remix of the Numberphile video called “Round Peg in a Square Hole” (by Tadashi Tokieda) and worked out the albraic formula behind the trick.
Convex vs. Concave Mirror
Simon learned this from Tadashi Tokieda in a Numberphile video called “Reflected Cats” and recreated the experiment.
Simon’s Formula for the Zeta Function
Simon worked out this formula using the traditional formula for the Zeta Function. He’s not not sure it’s new (he says he’s even sure it’s not new) but he has … Continue reading Simon’s Formula for the Zeta Function
Either gamma of 1/2 is infinity or the Riemann hypothesis is false
“All you need to see that eta of one is the natural log of 2 is that! Easy, right? I was joking. Proving these things is pretty damn complicated, so … Continue reading Either gamma of 1/2 is infinity or the Riemann hypothesis is false
Simon’s formula for an inverse function of quadratic polynomial
Simon worked out this formula using the quadratic formula.
Examples of a false proof
Simon shows two examples of a false proof, using infinite fractions and infinite sums. The mistake in proof no. 1 is that when using an infinite fraction one can not … Continue reading Examples of a false proof
Geometric Definition of e
The idea comes from a video by Mathologer. Simon sketches a geometric definition of the Euler’s number (e) using integrals. He messed up a little with the integral notation, but … Continue reading Geometric Definition of e
Geeks out of the box 