As pi day, 14 March, was also Einstein's birthday, it is appropriate to 
note that while pi is certainly a constant, the ratio of the 
circumference of a circle to its diameter is not:

"In a curved space, we could imagine defining the 'diameter' of a 
circle as the maximum geodesic distance connecting two of its points, 
and taking the ratio of the circumference with that diameter, and 
indeed it would typically not give us 3.14159… But that doesn’t mean π 
is changing from place to place; it just means that the ratio of 
circumference to diameter (defined this way) in a curved space doesn’t 
equal π."

http://blogs.discovermagazine.com/cosmicvariance/2010/11/11/the-pi-on/

Allen Esterson
Former lecturer, Science Department
Southwark College, London
allenester...@compuserve.com
http://www.esterson.org


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