NOT turbo mode. I did this project just to try equations of less usual curves. You can do a remix, for a more beautiful park! :-)
See the drawing and equations presented at the end of the website https://math.stackexchange.com/questions/893583/parametric-curve-representation-of-a-square-from-a-circle Curves of the birds: 1- based on folium of Descartes. 2- Freeth's Nephroid Music: Vásáry André - E. Morricone: Once Upon a Time in the West (excerpt, YouTube)