Does this make sense or does it have holes in it?
Trying to find a nice method to answer a lot of questions very formulaicly.
but what im really interested in isnt whether this works for this particular case, but whether the method would work for eveyr single question of the type:
"Fit X points into Y shape such that no two points are less than Z cm apart"
You could put 1 on each midpoint to start.
Even if it were 10,000 cm, you could place one in the middle.
What if you changed "not less than" to "greater than (but NOT equal to)"?
That way you'd not be allowed to have them exactly 10 cm apart and would have to consider more interesting patterns, and look at how you can perturb a solution to your question into one where they have to be strictly less than 10cm away form each other.