So I’m leaving for the Philippines in two days and I’m not gonna have my guitar for three weeks. I can’t really write anything without it and so my plans to create anything big this summer are dim. On the other hand, I made this little piece which isn’t much but I’m really happy with it. I hope people like it even though it’s kinda different. I have other things on my bandcamp… I don’t think they’re so cool though. http://queueny.bandcamp.com/
The Brachistochrone This animation is about one of the most significant problems in the history of mathematics: The Brachistochrone Challenge:
If a ball is to roll down a ramp which connects two points, what must be the shape of the ramp’s curve be, such that the descent time is a minimum?
Intuition says that it should be a straight line. That would minimize the distance, but the minimum time happens when the ramp curve is the one shown: a cycloid.
Johann Bernoulli posed the problem to the mathematicians of Europe in 1696, and ultimately, several found the solution. However, a new branch of mathematics,Calculus of Variations, had to be invented to deal with such problems. Today, calculus of variations is vital in Quantum Mechanics and other fields.