# The Euler constant $e$ [duplicate]

Possible Duplicate:
Is there any geometric way to characterize $e$?

We know that the length of perimeter of a circle of unit diameter is $\pi$ ; is there a similar geometric interpretation of $e$ , without invoking complex numbers, in terms of lenth ( and not area )?

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## marked as duplicate by Raskolnikov, Marc van Leeuwen, Rudy the Reindeer, Rahul, lhfOct 11 '12 at 11:21

Does this answer your question? math.stackexchange.com/questions/159707/… –  Qiaochu Yuan Oct 11 '12 at 6:55
@ Qiaochu Yuan:- Ah! I get it , it's still an open problem. –  Souvik Dey Oct 11 '12 at 7:44

Do a step of length $1$, then a step of half the previous one, then one third the previous one, then one forth the previous one,...