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
The June 2016 cover of Mathematics Magazine.
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.
Pascal's triangle with 16 rows.
An animation of pursuit triangles with a varying velocities.
Mathematics as Muse, Ella Sharp Museum, Jackson, Michigan. 1–31 October 2016.
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.
