Let's say I have X unique numbers and I choose one number y out of this set. Is it possible to create these X numbers such that the absolute difference between y and any other number in X will always be the same? This should work for every value of y in X.
This is trivial for X = 2 ...
Numbers: -1, 1 |(-1) - 1| = 1 |1 - (-1)| = 1
But with X > 2 this seems more complicated (or impossible?). What are your thoughts?
Is it possible to accomplish this with X > 2 so the difference is at least almost the same?