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.
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.
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)
This past weekend, digital-art impresario Takeshi Murata premiered new work at gallery Ratio 3’s space at the Frieze art fair. Melter 3-D is by definition a zoetrope, a device that produce the illusion of motion from a rapid succession of static pictures, but it’s tangible.
Trinity at .006, .025, 2, 4, and 9 seconds.
Emission Spectra of the Elements
Took some time to make this, since I couldn’t find one online
and the spectra look pretty.