Of rounded squirrels and squares

Liz and Kasturi examined the question of the squircles and rounded squares, a small large nuance of design that makes these geometric shapes look better and look more pleasant to the naked eye. I was already surprised to know that squircle does not have a direct translation beyond "rounded square." But also that behind there is so much geometric formula and curiosities. Definitions in Wikipedia say that a squircle is "an intermediate form betwee…