a homeschooling blog about Simon, a young mathematician and programmer, and his little sister Neva. Visit https://simontiger.com
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?
The whiteboard always reflects Simon’s current state of mind: On the left are Simon’s notes after reading Physics Girl’s blog about quarks (the colourful stuff is foam clay): Simon showed … Continue reading Simon’s whiteboard
“If I get the next two digits right, I’ll be ecstatic!” Simon says, as he hurries on with a φ (Phi) approximation algorithm using Fibonacci numbers. He keeps dividing every following … Continue reading Rational Approximations for Phi
Simon saw a way to draw epitrochoids (gear rolling outside another gear) and hypotrochoids (gear rolling inside another gear) on VSauce: two equal circles rolling around each other form a … Continue reading Simon’s Spirograph
Simon has come up with a proof that Phi (the Golden Ratio) is an algebraic number (not transcendental). He proves it by showing that Phi can be the solution to … Continue reading Simon’s proof that Phi is not transcendental
Simon wanted to make an outside video this afternoon, about what he’s been thinking of a lot lately – continued fractions. In the video below, he looks for curious number … Continue reading Very irrational numbers expressed as their continued fractions
Simon shows how to draw a segment that is Phi times longer than a unit segment. He learned from a video by James Grime how to draw the square root … Continue reading How to draw the Golden Ratio (Phi)
Geeks out of the box 