Some weekend combinatorics
Combinatorics problems (each one builds on the previous one): If there’s a sequence of tasks you need to do, and you know how many ways there are to do each … Continue reading Some weekend combinatorics
a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com
Combinatorics problems (each one builds on the previous one): If there’s a sequence of tasks you need to do, and you know how many ways there are to do each … Continue reading Some weekend combinatorics
At the beginning of each year, I make a very long, ridiculous video (which I like to call a “magnum opus”). Last year it was the 2048 cookies project. This … Continue reading Simon’s Magnum Opus
I sampled 9 points on this curve. The x coordinates have constant increments (equally spaced horizontal coordinates). I then measured the y coordinates — that’s what the numbers at the … Continue reading A quick experiment to prove that a catenary is not a parabola
In October, Simon’s videos were featured on the Global Math Project website! The bulk are his latest three videos with detailed proofs of pile-splitting magic: In this video, I will … Continue reading Simon’s videos are featured on the Global Math Project website!
Here come a few simple but beautiful math games that don’t take much time or preparation. Simon has learned about these from the following great resources, worth checking out: Math … Continue reading More Math games on a sheet of paper or on the street, using two pieces of chalk
James Tanton has also inspired Simon with his daily puzzles. Below is a set of puzzles all centered around guessing which color your hat is (your life depending on that … Continue reading James Tanton’s Hat Problems
Yes, this one is about what Simon learned from James Tanton again. Simon basically spent two months living on Tanton’s websites. He even gave me two colorful lectures on matrix … Continue reading James Tanton’s Matrix Math
Back in October, Simon got fascinated with this weird system called p-adic numbers (where p stands for “prime”). It’s a system in which you can have numbers going infinitely far … Continue reading P-adic System is used in computers!
I’ve figured out how to do square-roots in binary on Napier’s Checkerboard! I’ve learned how to do addition, subtraction, multiplication and division from James Tanton’s vids. I’ve shown how to … Continue reading Square Roots on Napier’s Checkerboard
Simon is simply mesmerized by the founder of the Global Math Project James Tanton. He has watched countless tutorials by Tanton and frequents Tanton’s Exploding Dots website that features a … Continue reading Base 3/2
This is called a Partially-Filled Latin Square. There’s a theorem stating that a partially solved Latin Square can always be completed such that every row has each symbol and every … Continue reading Latin Square Puzzle
Simon has shown me an interesting way to add, subtract and multiply in binary using what is called a Napier’s Checkerboard (or Napier’s Chessboard), something he learned from his new … Continue reading A “quirky way to add, subtract and multiply in binary”