0

I would like to construct a diagram which is a variation of the middle third Cantor set as described by:

Suppose we start off with the unit interval $[0,1]$; let us call it $A_0$. Next, remove the segment $(1/4,3/4)$ and then repeat the process on the two intervals $[0,1,4]$ and $[3/4,1]$ which make up $A_1$. In doing so we obtain $A_2=[0,1]\setminus \{ (1/16,3/16)\cup(13/16,15/16) \}$. We define the set $A$ by repeating process ad infinitum and so $A= \cap_{k=0}^{\infty} A_k$.

I would like this diagram to look something like this (my middle third Cantor diagram):

wanted

I do not know nothing anything about constructing these diagrams.

Svend Tveskæg
  • 31,033
Trajan
  • 1,113
  • I dont know why the $$'s arent creating math-like text. – Trajan Jan 28 '15 at 17:00
  • We do not have mathjax on this site, if you want to show some tex output, upload an image. – David Carlisle Jan 28 '15 at 17:04
  • Did you look for Cantor here?http://tex.stackexchange.com/questions/31999/drawing-cantor-set, http://tex.stackexchange.com/questions/200545/drawing-tools-regarding/200604#200604, http://tex.stackexchange.com/questions/136907/recursive-drawing-command-flow – Ignasi Jan 28 '15 at 17:04

0 Answers0