“What has happened in this particular crop circle is that there are 12 segments and within each segment there are 8 partly concentric rings. Each of these segments indicates a binary code based on 0 and 1. If you use an Ascii Table [computer calculation system], the pattern transposes itself into a tantalising approximation of Euler’s equation.”
Dr John Talbot, a maths research fellow at University College London said: “Looking at the crop circle, the link with Euler’s most famous identity seems to make perfect sense. However, the way the formula has been executed is partially incorrect. One of the discrepancies is that one part of the formula translates as ‘hi’ rather than ‘i’, which could be somebody’s idea of a joke.”
There is a nice explanation and animation at the link.
Garde la Foi, mes amis! Nous nous sommes les sauveurs de la République! Maintenant et Toujours!
(Keep the Faith, my friends! We are the saviors of the Republic! Now and Forever!)
LonePalm, le Républicain du verre cassé (The Broken Glass Republican)
“e” is the base of natural logarithms. “i” is the square root of negative one.
The formula is obtained by taking x=pi in the Euler equation
e^(ix) = cos(x) + i * sin(x).
It is just Euler’s formula e^(ix) = cos x + i sin x when x=pi. Euler’s formula is used to define circles on a plane with a real axis and an imaginary axis.
As far as I can tell, it says that e raised to the power ( i times pi), added to 1, is 0.
Also, as far as I know, e is a number such that the natural logarithm of e is 1; pi is of course the ratio of a circle’s circumference to its diameter, and i is an imaginary number such that i squared is equal to -1.
But I’m having trouble working it out. I’d like to see a proof of this theorum,; preferrabley one which is NOT made from whole grain.
It’s a compact equation that contains the constants that excite mathematicians, physicists and computer scientists the most. Not all of them, but enough to be amazing.