I had the delightful experience of seeing a beautiful quail family in Santa Cruz while traveling for work. The daddy quail sat atop a bush while mommy and chicks foraged below.
Finding the right curve for the top knot was a challenge – Mathstodon suggestions led me down a few paths and ended at a Joukowski transform for airfoils (thanks @firstname.lastname@example.org and everyone who helped).
I found myself using my favorite complex analysis resource by Juan Carlos Ponce Campuzano to play with this and visualize flow – I highly suggest you go play with these toys.
Sam – this is for you – for having the same love for these amazingly cute a gregarious birds.