Once you take your first step into the world beyond the ring of light you see shimmering in the waves before you… Your true trial will begin.

(Source: ditsycucco)

(Source: sifu-kisu)

The brachistochroneThis animation is about one of the most significant problems in the history of mathematics: t

he 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

timehappens when the ramp curve is the one shown: acycloid.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.

This is a really neat problem. It’s not so easy as to be trivial, but with a couple hints the solution comes together pretty quickly. Wolfram has a pretty good explanation of the solution here.

(Source: saulofortz)

This is the greatest thing I have ever seen.

CRYING

Okay but how the hell am I supposed to dance to this.

groovily

(Source: popsonnet)