I would like to transfer my question How do we find the structure of a set with the most equidistribution using entropy? to math overflow despite being temporarily suspended for one year due to excessive edits.
I believe this question is research-based despite a simple example, and it does not have an answer that directly answers my question. I will do my best not to make more excessive edits.
Edit: I also am unable to ask the same question in a different way due to the question limit from my previous and poorly received questions. However, unlike earlier my posts are sensical.