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.

## Another Fibonacci magic trick

Draw a circle with the golden ratio (1.6180339…) as circumference.

Label one point on the circle with the number 1. Rotate along the circle over a unit length and label the second point 2, rotate again and label the third point 3, etc.

At every stage, the difference between two consecutive points’ labels always equals a Fibonacci number.

WHAT

This is a rather interesting look at exactly what the finer detail of a computer chip looks like.

It is absolutely crazy how tiny we can make things today.

What we’re seeing here is a standard microchip, older though in principle the same as modern cell phone chip.

At the micro level we’re dealing with this comparison:

"A micron is 1 millionth of a meter, 10-6 or 10-3 of a millimeter. Very tiny. It is abbreviated with the greek letter for M, or the mu."

It takes 100,000 Microns to equal about 4 inches and toward the end of the set we’re in the 1 micron range.

Why Do I Study Physics? (2013)

(Source: vimeo.com)

Takeshi Murata Made An Animated Sculpture That Melts Into Itself

This past weekend, digital-art impresario Takeshi Murata premiered new work at gallery Ratio 3’s space at the Frieze art fair.

Melter 3-Dis by definition a zoetrope, a device that produce the illusion of motion from a rapid succession of static pictures, but it’s tangible.

The “Never Ending Slinky Machine” Is Exactly What It Sounds Like

Trinityat .006, .025, 2, 4, and 9 seconds.c. 1945

Emission Spectra of the ElementsTook some time to make this, since I couldn’t find one online

~~and the spectra look pretty.~~