20 June 2008

Pi in the Sky

All the loony crop circle fans are pointing to a new crop circle that appeared in Wiltshire as evidence that Aliens are trying to communicate with us.

http://www.telegraph.co.uk/news/newstopics/howaboutthat/2144652/Most-complex-...

To read the message in the crop circle you start in the middle and follow the path out. Then walking clockwise you count the length of the first segment which is turns out to be 3 times longer than the shortest segment (the next one). Then you note a decimal point (the dot in the corn) then you find you have to turn again and then walk along a short curved segment representing the next number, 1. Turn again and the next segment is 4 times longer than the previous one so represents the digit 4... and so on. When you get to the outside of the crop circle you find the number is 3.141592654 which surprise surprise is Pi to 10 decimal places

If that is the case we now know 3 things about the creatures that made the circle...

They speak English as they use a "full stop" for the decimal point - something done in English speaking countries on Earth, but for example if they spoke French or German, then they would have used a "comma".

They come from a planet that rotates anticlockwise around its axis (otherwise the circle would have been anticlockwise - just trust me on this one)....

They have 10 fingers - as Pi is represented as a decimal number (it has a nine in it). If they used base 8 then although the value of Pi would be the same there would be no segment longer than 7 units - similarly if they used base 16 for example then the longest segment would by 15 units...

Pi
Base 10 3.141592654
Base 2 11.0010010000111111011010101000100010000101
Base 8 3.110375524
Base 16 3.243F6A888

(where F represents a number we represent as 15 and A a number we represent as 10).

So the crop circle makers speak English, come from a planet like Earth (in rotation) and have 10 fingers - I wonder if they also live in a county called Wiltshire!

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