Quote:
Originally Posted by retina
What actually is your puzzle here?

I have to agree with this sentiment. It seems to me that there have been posted here a number of "mathematical exercises" and/or "conjectures" that we are being ask to solve in the name of a "puzzle".
These contrast highly from those examples such as the "hole in the sphere" or the logic problems that are characteristic of the problems posed by the "Mathematical Recreations" Greats of the last centuries.