Binomial Pursuit Digital Print 2016

Influenced by several binomial items in this issue, the artwork depicts a Sierpinski triangle where a pursuit triangle is used on the interior triangles, and a simple black outlined triangle is used on the exterior triangles. The rotation of the pursuit reverses at each scaling at the lowest level.

### Background and Inspiration

This work was originally done for use as cover art for the June 2016 issue of Mathematics Magazine. This is the eighth of 25 original artworks I created for the journal Mathematics Magazine during 2015–2019.

Inspired by two pieces in the issue: \medskip the article The Binomial Recurrence'' by Michael Z. Spivey and \medskip the {\it Proof Without Words} Sums of Reciprocals of Binomial Coefficients'' by Tom Edgar.

### Publication History

• Hidden Beauty in Penrose Tiling: Weavings & Lace by Douglas Burkholder, p. 219, Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, David Swart, Carlo H. Sequin, and Kristof Fenyvesi editors, Tessellations Publishing, 2017.
• Mathematics Magazine, Cover Art, Vol. 89, No. 3, June 2016.

### References

• the article The Binomial Recurrence'' by Michael Z. Spivey
• the {\it Proof Without Words} Sums of Reciprocals of Binomial Coefficients'' by Tom Edgar.