Alex Cunningham

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proofmathisbeautiful:

un:

Golden Ratio!

LOVE

cab1729:

In his 1989 book “The Emperor’s New Mind”, Roger Penrose commented on the limitations on human knowledge with a striking example: He conjectured that we would most likely never know whether a string of 10 consecutive 7s appears in the digital expansion of the number pi. Just 8 years later, Yasumasa Kanada used a computer to find exactly that string, starting at the 22869046249th digit of pi. Penrose was certainly not alone in his inability to foresee the tremendous power that computers would soon possess. Many mathematical phenomena that not so long ago seemed shrouded and unknowable, can now be brought into the light, with tremendous precision.

(via proofmathisbeautiful)

skepttv:

Creating Universes with Digital Bits

In 1970, a mathematician named John Horton Conway devised a self-sustaining simulation based on several simple rules. What he didn’t know is that his “Game of Life” would create a whole new field of mathematics and cause theorists to wonder if our own universe could be the emergent result of a simple set of instructions. Could everything in our universe stem from a relatively simple set of rules? Computer scientist Jürgen Schmidhuber thinks so, and he believes Conway’s game is an excellent example of seemingly random complexity arising from predetermined rules. But how useful is it to scientists?

Want to try your hand at Conway’s Game of Life?

Pictured: John Horton Conway, inventor of cellular automata and the Game of Life; Image courtesy of Thane Plambeck; Recorded June 2011; Posted September 2011

More from this series: Rebooting the Cosmos.

(via skeptv)

14-billion-years-later:

The Logarithmic Spiral

Now all you guys who are like “Yeah man the Fibonacci spiral is awesome” can just take a back seat here, because here we have the coolest of all spirals: the logarithmic spiral. Truth be told just about every time you’ve heard someone talk about the Fibonacci (or more accurately known Golden Spiral) they’ve been talking about this guy and just not realized it. The logarithmic spiral is given by the equation r=ae^(bθ) where r is the radius, a & b are positive constants and θ is the angle around the origin.

The logarithmic spiral also pops up quite often in nature, being the mathematical pattern behind such things as nautilus shells, Romanesco broccoli, spiral galaxies, the Mandelbrot set, storms, ferns and even sea horses.

(via proofmathisbeautiful)

proofmathisbeautiful:

scienceisbeauty:

Euler’s identity

A mathematical joke asks, “How many mathematicians does it take to change a light bulb?” and answers    -e^(ipi)      (which, of course, equals 1)

So science it is not only beautiful, it’s also funny ;-D

proofmathisbeautiful:

buddhabrot:

How to Theoretically Turn a Sphere Inside Out