Erratum:
The correct form of the Minkowski distance should (of course) be: the n-th root of the term between brackets!
And accordingly the other distances (the Euclidean distance is the square root of (X² + Y²), and so on…).
This logically extends to 3 dimensional distances as you would expect (the square root of (X² + Y² + Z²), etc.)
This is only important if you actually want to calculate those distances; the maiin thing I wanted to show is, that those mysterious names that ‘no-one’ can pronounce, just mean various ways to calculate distances and that there is a simple connection between them…which the above image shows pretty well, I think, although technically not correct…