It would be nice to be able to compare the Trinity to something we are familiar with, but there is no analogy and nothing on earth that is like the Trinity. It is and remains a mystery. Not that it's a secret. We believe in one God, and that one God is Father, Son, and Holy Spirit. We are baptized in (or into) the name of the Father and of the Son and of the Holy Spirit. (Note: That's in the "name", not "names;" for God is one.) That is not a secret, but it remains a mystery. In other words, we can't unravel it.
Any efforts to try to explain or understand this results in either heresy or a grand headache. It is best to let God reveal himself as he is than for us to try to craft God into a form we can understand. In that case, we have invented our own god, which, then, is really no God at all.
To help understand why analogies are bad, I offer you the video below from www.LutheranSatire.com.