Wolfram Demonstrations Project

For 12 eyelets, there are almost half a billion ways to lace your shoe. The bookmarks show some of the most common styles.

References

[1] I. Fieggen. "Ian's Shoelace Site." (Nov 25, 2012) www.fieggen.com/shoelace/index.htm.

[2] B. Polster and M. Ross. "What Is the Best Way to Lace Your Shoes?" The Age Education Resource Centre. (Oct 26, 2009) education.theage.com.au/cmspage.php?intid=147&intversion=31.

[3] I. Peterson. "Ivars Peterson's MathTrek: The Shoelace Problem." Mathematical Association of America. (Feb 8, 1999) www.maa.org/mathland/mathtrek_2_ 8_ 99.html.

[4] B. Polster, "Mathematics: What Is the Best Way to Lace Your Shoes?," Nature, 420(476), 2002. doi:10.1038/420476a.

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Ways to Lace Your Shoes