Posted by: Dave Richeson | April 16, 2013

Countability of the rationals drawn using TikZ

I’m continuing my exploration of TikZ (here is my first post about TikZ). I will be showing my Discrete Math class how to “count” the positive rational numbers. (See this old blog post for more information about countable sets.) I used TikZ to create the picture below.

Screen Shot 2013-04-16 at 9.23.14 PM

Here is the source code for this figure. If you click on the link you can get an editable copy of the document in WriteLatex

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Responses

  1. The paper “Recounting the rationals twice” is really good along these lines, developing a single tree expansion that underlies the stern-brocot and calkin-wilf trees.


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