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Varignon's Theorem

Varignon's Theorem for Octahedra and Cross Polytopes

The figures for the article "Varignon's Theorem for Octahedra and Cross Polytopes" by John Pesek that appeared in the June, 2009 issue of Mathematics Magazine are displayed here. In addition the Sketchpad (4.06) and Cabri 3d (2.0.0) programs are also made available for readers who might wish to work with the figures hands on.

  • Each figure is a link to itself to facilitate separate printouts.
    Figure 1.

    Figure 2.

    Figure 3.

    Figure 4.

    Figure 5.




    Figures 1 and 2 were made with Sketchpad. The Sketchpad programs can be downloaded at Figure 1 and Figure 2 respectively.

    Figures 3, 4 and 5 were made with Cabri 3d. The Cabri 3d programs can be downloaded at Figure 3 , Figure 4 and Figure 5 respectively.
    Caution!
    If your browser is Internet Explorer 7 and perhaps other browsers, it will recognize that Cabri 3d v2 files are XML files and change the file type to XML at which point it cannot be opened by Cabri. To get around this problem in Explorer, right click on the link and select "Save target as". Before you save the file, change the file type from "iml" back to "cg3".


    The author can be contacted at

    John Pesek