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Cantor set

• To: mathgroup at christensen.cybernetics.net
• Subject: [mg891] Cantor set
• From: "Hamburger Dani" <dani at espresso.fh.huji.ac.il>
• Date: Fri, 28 Apr 1995 00:48:51 -0400

The ternary Cantor set can be constructed iteratively from the interval [0,1] by
removing at the n+1'th step the middle third of each interval obtained in the
n'th step.
Can anyone come up with a nice MMa formula for calculating the beginning and
end points of the k'th interval (counted from left) in the n'th iteration?

Thanks for any suggestions!

--
Daniel


Fritz Haber Center for Molecular Dynamics
Hebrew University of Jerusalem
E-mail: dani at batata.fh.huji.ac.il
Fax: 972-2-513742