You can overfit anything with just one parameter

[BWV]

Interesting paper here:

https://colala.bcs.rochester.edu/papers/piantadosi2018one.pdf

which using a closed-form solution to the logistic map m(z) = 4z(1−z) of
m^k (θ) = sin² [ 2^k arcsin √ θ]

with a finely tuned parameter θ (extending to hundreds of decimal places) can fit just about any 2 dimensional shape such as:

 

[scottdave]

This reminds me of Tupper's Self Referential Formula.
https://en.m.wikipedia.org/wiki/Tupper's_self-referential_formula