Do you know the solution to the question I posted? I just showed my work as an extra. I got the wrong answer. The correct answer is 12. Do you know how?
( For some reason this sounds rude to me, but I have no intention of that)
Here go.
6 from the first corner, there will be 4 more from the second vertex and another 2 from the last one.
The circle in the middle goes through more than 4 so that does not fit the requirements.