(Source: sararuthm)

(Source: apoyogarethbale11)

What Earth would look like, hypothetically, if it were destroyed by a black hole.

via Discovery Space

via Memeolition

(Source: anas-nerd-life, via trigonometry-is-my-bitch)

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 minimumtimehappens 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.