C++ exercise

My name is Daniel,i am taking the first course related to C++,
our instructor asked us to do this exercise but I really don't know how to solve it.. It is basically a mathematical problem,more than a c++ problem.
If someone knows already this problem or can help me,i will really be thankful for you guys.
Here's what we have:
we have this figure,and we don't have any value,as coordinates,angles....(so we have to solve the problem literally first,and then we will apply values in c++
We have to find the coordinate of the 12 points of intersection,and then get the average of them,how can we find the equations related to this exercise?
Thanks a lot!!

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