I keep seeing very disappointed reviews in the new Star Trek film. My interest in it has been a sine wave riding an inverse variation.
I feel like that doesn’t make much sense. So here’s a crudely illustrated thingy.
Can someone help make sense of my brain right now? Is this concept even a thing?
The Genius of J.S. Bach’s “Crab Canon” Visualized on a Möbius Strip
Holy harpsichord.
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.
Mind. Blown.
(Read more at Open Culture)
something i learned today:
the ratio between the size of one digit of one of your fingers and the next digit of the same finger is roughly Φ, the golden ratio. Their lengths line up in an approximate way with sequential fibonacci numbers, because as the fibonacci sequence progresses the ratio between sequential numbers approaches Φ. i illustrated this in that image using an arbitrary unit of pixels and the grid in photoshop.
but the real cool part is that because of this, when you curl and uncurl your fingers, the path described by a fingertip is pretty close to a perfect golden spiral! what sweetly built machines we pilot over the earth
(Source: sh0eb0x, via discoverynews)
![matthen:
Spinning a cube along a diagonal gives an interesting shape, composed of two cones and a curved part whose cross-section is a hyperbolic curve. [more] [code]](http://24.media.tumblr.com/tumblr_mbj8ug5cHW1qfg7o3o1_r1_400.gif)
Spinning a cube along a diagonal gives an interesting shape, composed of two cones and a curved part whose cross-section is a hyperbolic curve. [more] [code]
(via project-argus)
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4,000,000 Digits of Pi, Visualized
In 2011, pi was computed out to 10,000,000,000,000 decimal places. Here are 4,000,000 of them, translated into colored pixels corresponding to digits 0-9 (this is only part of it, explore the full image here).
It only takes 39 digits of pi to draw a circle the size of the universe down to the accuracy of a hydrogen atom, so we’ve got about 9,999,999,999,961 extra to figure out what to do with. This visualization only covers 4e-5% of all known digits of pi.
At a normal reading pace, it would take you 158,000 years to recite all known digits of pi. Better start practicing!
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Take $2.00 off the cost of any item when you spend $2.00 more than the listed price!
(Source: College Humor)
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The record for calculating pi currently stands at five trillion decimal digits. The calculation took 90 days to complete using a custom-built desktop computer attached to 20 external hard drives.
(via scinerds)
I dunno, some of these seem derivative. Have we reached the limit of hyperbolic choreography?
Math is one of the greatest powers in the universe. No one can escape from math, not people, not businesses, not even nations. History shows that great nations and empires have sometimes been built up and other times have been destroyed by the simple power of math.
More than four thousand years ago, in the Middle East, the ancient Sumerians created an amazingly advanced system of mathematics. They scratched symbols into clay tablets to represent numbers in a type of writing called cuneiform. The Sumerians created their mathematics in order to do business, to figure taxes, to make contracts, to set up loans and to calculate interest.
What’s truly amazing is that we even have fragments of Sumerian problem sets that were used to train accountants. From these, we can see that they understood the awesome power of compound interest. When you are paid interest on your savings, you quickly begin getting interest on the interest, which causes your savings to grow at an exponential rate.
"http://helenair.com/lifestyles/health-med-fit/math-is-stronger-than-nations/article_debcc7d2-681f-11e1-8f86-0019bb2963f4.html (via allmesopotamia)
Simon Beck is a French artist who sometimes spends days trudging around frozen lakes in snowshoes. The end product are these creations: Geometric, seemingly three-dimensional designs derived from complex mathematical relationships. It’s a short-lived medium, often covered in a single night by new snowfall.
(via MyModernMet)
(via project-argus)
