a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com
https://youtu.be/dYBZXFW4bsg Simon is working on a project that will involve constructing the Archimedean solids from paper pieces that he programs in Processing (Java) and prints out. In the previous video, … Continue reading Simon’s Archimedean Solids Project
Simon showed me an interesting paradox that’s difficult to wrap my mind around. If you slice a cone (at a random height), the section is a circle. The chopped-off part … Continue reading The Paradox of the Mathematical Cone
Today Simon learned that it was Euler who first came up with the idea that the infinite sum 1 + 2 + 3 + 4 +… converges to -1/12. Simon … Continue reading Ramanujan-converging
Simon has discovered a great new graphing tool: Vectary.com! “Finally I have found something topological,” Simon says. “There is a branch in math called topology. It’s about deforming things. I … Continue reading Vectary.com
Proving a Pythagorean triple. 3Blue1Brown did it in another way, using i.
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
Simon, looking at the dust particles in the sun: “Is brownian motion random? If we look small enough, we might see something deterministic… but it might also be stochastic. What you’re … Continue reading Is the Universe random?
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
“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
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
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
Geeks out of the box 