I don't know if the application that I'm going to refer is well-known (an invention of the author of [1]). I've read it from a book, Wikipedia has an article dedicated to the author [*E. O. Wilson*](https://en.wikipedia.org/wiki/E._O._Wilson), that refers the application in chapter 14 of the book [1] (I know the Spanish edition of the book Editorial Planeta, Crítica 2022); the chapter is potentially interesting for mathematicians, and are included the  related articles in the bibliography of this book.

Wikipedia has an article including the section [*In engineering applications*](https://en.wikipedia.org/wiki/Logarithmic_spiral#In_engineering_applications) from the Wikipedia article dedicated to *Logarithmic spiral.*

If I understad well whirls don't fit with your question/post, but I include the following references as general reference in case that you or the readers want to know these notes that I consider interesting, if I remember well [2] include notes about whirls, and [3] seems interesting for me (is a note in Spanish language).

Other instances are the following, 1) this time is an historical example, is from the book [4], see Figure 2.8 and the preceding subsection of Chapter 2; and 2) the meaning of article [5] (I don't know what's the revelance of this article published from a journal of the American Chemical Society, but I believe that sure it is interesting).


Please let me to know (you or your colleagues) if my post isn't a good answer that I can to delete it in next few hours, many thanks.

References:
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[1] Edward O. Wilson, *Tales from the Ant World*, Published by Liveright (2020).

[2] Leo Zippin, *Uses of Infinity*, Dover Publications (2000).

[3] Juan Luis Varona, $\zeta(2k)$ *versus* $\zeta(k)$: *una relación geométrica en una espiral*, Miniaturas matemáticas, La Gaceta de la RSME 
Vol. 18 (2015), Núm. 2, Pág. 352.

[4] Michio Kaku, *Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and The Tenth Dimension*, Oxford University Press (1994).

[5] Audrey R. Sulkanen, Minyuan Wang, Logan A. Swartz, Jaeuk Sung, Gang Sun, Jeffrey S. Moore, Nancy R. Sottos and Gang-yu Liu, *Production of Organizational Chiral Structures by Design*, J. Am. Chem. Soc.  144, 2 (2022), pages 824–831.