A Square Triangle?
Simon explains what Gaussian formula is to check a shape’s curvature and shows how to make a triangle with three 90° angles. Or is it a square, since it’s a … Continue reading A Square Triangle?
a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com
Simon explains what Gaussian formula is to check a shape’s curvature and shows how to make a triangle with three 90° angles. Or is it a square, since it’s a … Continue reading A Square Triangle?
“What is the chance that two people in a group of, say, 30 people would have their birthday on the same day?” I asked Simon as we were sitting on … Continue reading Trinagular birthday probabilities
Simon writes: I have composed a piece of music based on the Fibonacci sequence, using modular arithmetic (I assigned numbers from 0-6, the remainders after ÷ by 7, to notes … Continue reading Simon’s Fibonacci Music Pesano Periods
This is a project that Simon started a few weeks ago but never finished, so I think it’s time I archive it here. It’s based upon this wonderful Numberphile video, … Continue reading Cat and Mouse
Monday morning Simon showed me the Chaos Game: he created three random dots on a sheet of paper (the corners of a triangle) and was throwing dice to determine where … Continue reading Chaos Game and the Serpinski Triangle
Walking home from the swimming pool (where he and Neva had been jumping into the water exactly 24 times, calling out all the permutations of 1,2,3 and 4), Simon suddenly … Continue reading Why mathematics may become computer science
Simon explains that the Van Eck Sequence is and shows the patterns he has discovered in the sequence by programming it in Python and plotting it in Wolfram Mathematica. Simon’s … Continue reading The Van Eck Sequence
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
Sunday at the beach, Simon was reenacting the 5 doors and a cat puzzle (he had learned this puzzle from the Mind Your Decisions channel). The puzzle is about guessing … Continue reading Math on the Beach
Simon has made a small calculator/approximator in Repl.it that shows what number an infinite series converges to: https://repl.it/@simontiger/Series
Simon finds the explanation on Brilliant.org incomplete, so he started a discussion about it on the Brilliant community page: https://brilliant.org/discussions/thread/games-of-chance-course-marble-problem/?ref_id=1570424
At the bakery, Simon tells me: “Parabola is the only shape that’s both an ellipse and a hyperbola (at least in a projective plane, which means that you can have … Continue reading Parabolas are special