a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com
Last weekend, Simon started this new school year’s first World Science Scholars course, A Beautiful Universe: Black Holes, String Theory, and the Laws of Nature as Mathematical Puzzles with Breakthrough … Continue reading Simon’s first impressions of this year’s first course with World Science Scholars
Simon: “The direct formula for the position of a pendulum is not what you might think”. Simon’s code for spring and graph: https://editor.p5js.org/simontiger/sketches/mWp6gQLxz Simon’s code for pendulum with directed fields: … Continue reading Science on the Balcony: Position of a Pendulum
This has been one of Simon’s most ambitious (successful) projects so far and a beautiful grand finale of 2019, also marking his channel reaching 1K subscribers. The project – approximating … Continue reading Approximating pi and e with Randomness
Today, Simon returned to a problem he first encountered at a MathsJam in summer: “Pick random numbers between 0 and 1, until the sum exceeds 1. What is the expected … Continue reading MathsJam Antwerp 20 November 2019. A Blast and a Responsibility.
Take any real number and call it x. Then plug it into the equation f(x) = 1 + 1/x and keep doing it many times in a row, plugging the … Continue reading Why the Golden Ratio and not -1/the Golden Ratio?
A visual solution to Fourier’s heat equation in p5. Play with the two versions online: https://editor.p5js.org/simontiger/present/EaHr9886H https://editor.p5js.org/simontiger/sketches/EaHr9886H https://editor.p5js.org/simontiger/present/ruN8CQV77https://editor.p5js.org/simontiger/sketches/ruN8CQV77 Inspired by 3Blue1Brown’s Differential Equations series.
Simon believes that he has found a mistake in one of the installations at the Technopolis science museum. Or at least that the background description of the exhibit lacks a … Continue reading The Brachistochrone
The number of collisions between two objects equals a number of digits of Pi. The code on GitHub: https://github.com/simon-tiger/Pool_Pi Simon writes: From where I got this I called this sketch … Continue reading Simon’s code for an intriguing problem from the 3Blue1Brown math channel
Proving a Pythagorean triple. 3Blue1Brown did it in another way, using i.
The math behind this project comes from the amazing math channel 3Blue1Brown: https://www.youtube.com/watch?v=QJYmyhnaaek
Simon loves looking at things geometrically. Even when solving word problems, he tends to see them as a graph. And naturally, since he started doing more math related to machine … Continue reading Just another day in graphs
Simon programmed a presentation to explain why 28×28 is not the same as 20×20 + 8×8 geometrically. The code is quite complicated and involves some trigonometry and conditional statements: the … Continue reading 28 times 28
Geeks out of the box 