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