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MathGroup Archive 1995

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Cantor set

  • To: mathgroup at
  • Subject: [mg891] Cantor set
  • From: "Hamburger Dani" <dani at>
  • 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!


Fritz Haber Center for Molecular Dynamics
Hebrew University of Jerusalem
E-mail: dani at
Fax: 972-2-513742

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