The Genius of J.S. Bach’s “Crab Canon” Visualized on a Möbius Strip
We know J.S. Bach was a genius composer. Certainly among the top two or three that have ever lived by most measures. Even knowing that, I was not prepared for the awesomeness you are about to see.
This is the first canon from Bach’s Musical Offering, known as the “crab canon”. The first level of awesome is when you find out that it was designed to be played backwards and forwards. But lots of people have done that … big deal, right?
Then you find out that it was written to be played backwards and forwards at the same time. That’s pretty amazing, but again, since it’s not that long I wouldn’t classify it as an Earth-shattering epiphany.
BUT THEN … graphic artist Jos Leys (who made the video), show how this Bach piece is basically the musical version of a Möbius strip.
(Read more at Open Culture)
Work by Jason Padgett, a man with Acquired Savant Syndrome who now sees all of reality as mathematical fractals describable by equations.
The beauty of numbers and their connection to the pure geometry of space time and the universe is shown in his fractal diagrams…He is currently studying how all fractals arise from limits and how E=MC2 is itself a fractal. When he first started drawing he had no traditional math training and could only draw what he saw as math. Eventually a physicist saw his drawings and helped him get traditional mathematics training to be able to describe in equations the complex geometry of his drawings. He is currently a student studying mathematics in Washington state where he is learning traditional mathematics so he can better describe what he sees in a more traditional form. Many of the captions were written before he had any traditional math training. His drawing of E=MC^2 is based on the structure of space time at the quantum level and is based on the concept that there is a physical limit to observation which is the Planck length. It shows how at the smallest level, the structure of space time is a fractal…So sit back and enjoy the beauty of naturally occuring mathematics in pure geometric form connecting E=MC2 (energy) to art. All are HAND DRAWN using only a pencil, ruler and compass.
Holy cow, is this what Neo saw in The Matrix?
Minimal Posters - Muslim Scientists Who Changed The World.
Honoring the contributions of Muslim scientists from history to the modern era, with this always-awesome collection from Hydrogene.
How to prove a mathematical theory, animated.
But how do you prove an animated mathematical theory?
You go about your business, checking your bank balance, buying Farmville tokens (or whatever it is that people buy in Farmville, maybe hay?), maybe you buy a shirt on Threadless, some new artisan cocktail bitters on Fab (I just got some), and that book from your wish list on Amazon that you probably won’t have time to read but at least now it’s on your bookshelf. All the while putting sensitive, possibly damaging information in the hands of a little security icon in the corner of your browser. Encryption.
So how tough would it be for someone to intercept your data, encrypted with today’s SSL algorithms? Well, the newest 2048-bit “keys” are so complex, that a normal desktop computer would need to work for 6.4 quadrillion years in order to crack the code.
In other words, almost 500,000 times longer than the age of the universe. Of course, that says nothing about getting your password stolen from the inside, like the fiasco that recently happened with Yahoo, but it sounds like the transmitted data itself will be safe until Earth is a cold block of ice consumed by a dead star.
Into infographics? They got one of those here. There’s a full explanation of the math behind the encryption at the link up top for you data geeks.
In the academic world Dover Publications is widely known for publishing standard texts in mathematics. To me they’re known for publishing books with the best cover designs around, which truly make them stand out among the boring rest.
These are fantastic. If you can make a math book look inviting … well, you’ve done something special.
I kid, of course. Math is awesome. I’m only allowed to give math a hard time because I am the child of mathematicians.
Any other favorite artistic textbook covers? Reblog with your favorites or send them my way via the fan mail button or Twitter.