I returned to something I've been thinking about lightly, off and on, for over the past 20 years and I've made a discovery last week which I'm giving to you in the form of a puzzle.

As you may know I specialize in magic squares. So my puzzle, which I'm starting off making it deliberately vague to make it challenging, is can you find a connection between quartic numbers and magic squares (of various sizes)?

I will give you a week to propose a solution to this problem and I may drop hints. If you can't find an answer within a month's time, then I'll post in the answer.

Happy New Year and good luck to you.