A Pythagorean triple
Proving a Pythagorean triple. 3Blue1Brown did it in another way, using i.
Category: Simon’s sketch book
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.
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.
One more of Simon’s impossible puzzles
Simon made this puzzle for me to solve… Except that it’s impossible. The objective is to move 5 so that no other number would be “lonely” (no longer adjascent to … Continue reading One more of Simon’s impossible puzzles
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
Configurations in a Rubik’s Square
Simon calculating how many configurations are possible in a Rubik’s Square – a flat puzzle he invented, resembling the Rubik’s Cube. He comes to the conclusion that there are only … Continue reading Configurations in a Rubik’s Square
Maths Jam Antwerp on June 19
Simon had a blast at #MathsJam Antwerp last night, very proud of his proof for one of the problems (in which he applied an Euler formula), enthusiastic to share his … Continue reading Maths Jam Antwerp on June 19
Doing Math Everywhere
Doing math everywhere. At the hotel: At The Tower of London: Trying to prove the Wallace Product at breakfast: Coming up with a “spot the mistake proof” at London St.Pancras … Continue reading Doing Math Everywhere
Geeks out of the box 