a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com
Simon explains how to to turn Platonic Solids into Archimedean Solids, using truncation and rectification. Simon explains how to convert Platonic Solids to Archimedean Solids and builds a Rhombicosidodecahedron … Continue reading From Platonic Solids to Archimedean Solids
Some outside fun: Simon uses a regular hexagon, equilateral triangles and squares to build a regular dodecagon, and right angled isoceles triangles (with sides equal to 1 and the hypotenuse … Continue reading Tiling shapes to build dodecagon and octagon
Simon wrote a program in Processing that plays the music of Pi. The idea to assign every integer a sound frequency belongs to the Numberphile channel, but Simon came up … Continue reading Music of Pi in Processing
Simon saw an interesting example on Numberphile and came up with a more general formula for a case when a number can never be prime. Later someone noticed in the … Continue reading For the love of math
This random number generator Simon built in Processing simultaneously graphs the probability of the values as you “throw the dice”. This is Simon’s own code and what’s more, he … Continue reading Random Number Generator Graphing Probability
Simon came up with a tool (a circle where you install a pencil) to draw curved lines. He explains how the curved line actually draws the absolute value of the … Continue reading Simon’s Sine Wave Tool
Simon spent hours calculating – something he’s not particularly fond of if it were simple/ pointless sums, the way schoolkids work. His was not pointless! He did it with the … Continue reading Numbers as products of primes (a useful calculation practice). And the general beauty of primes.
What shape can roll well, other than a circle (wheel)? Two circles, attached together according to a formula involving a square root of two! Simon made these “wobbly circles” inspired … Continue reading Wobbly Circles and the Center of Mass
Simon came up with a function that for bigger inputs approaches Pi. He has seen that the result of a function for infinity ∞ f(infinity) = Pi/4 in a Numberphile … Continue reading Simon’s Function for Pi
Based on the Numberphile video about the Kolakoski Sequence.
Inspired by a Numberphile video, where Simon learned the technique to express the Fibonacci sequence in musical notes.
Inspired by yet another Numberphile video, Simon is explaining why it’s impossible to turn a circle into a square with the same area using only the tools that the ancient … Continue reading How to Square a Circle
Geeks out of the box 