This piece shows the first non-constant approximations to the cosine function using its Taylor series expansion about $x=0$ and was inspired by the paper by Dalthorp in this issue. Because the partial sums of the series oscillate between over and under approximations, the regions above the over approximations are disjoint from the regions below the under approximations.
Background and Inspiration
This work was originally done for use as cover art for the April 2018 issue of Mathematics Magazine. This is the seventeenth of 25 original artworks I created for the journal Mathematics Magazine during 2015–2019.
- See the page on Mathematics Magazine Cover Art.
Bridges 2018 General Exhibition, The National Museum of Science and Technology (Tekniska museet), Stockholm, Sweden. 25–29 July 2018.
- Bridges Stockholm Art Exhibition Catalog, p. 129, Edited by Conan Chadbourne, Robert Fathauer, Katie McCallum, and Nathan Selikoff, ISBN: 978-1-938664-26-7, Tessellations Publishing, 2018.
- Mathematics Magazine, Cover Art, Vol. 91, No. 2, April 2018.
- Inspired by the article ``Some Taylor Series without Taylor's Theorem'' by Mark Dalthorp.