Pope Benedict XVI made a brief but very beautiful commentary on the mystery of the Holy Trinity during his Angelus message yesterday June 7. See this:
“We contemplate the Holy Trinity just as Jesus revealed it to us. He showed us that God is love 'not in the unity of a single person, but in the Trinity of a single substance’. Thus He is Creator and merciful Father; only-begotten Son, eternal Wisdom incarnate who died and rose again for us; and finally, Holy Spirit who moves everything, universe and history, towards the final recapitulation.
“We contemplate the Holy Trinity just as Jesus revealed it to us. He showed us that God is love 'not in the unity of a single person, but in the Trinity of a single substance’. Thus He is Creator and merciful Father; only-begotten Son, eternal Wisdom incarnate who died and rose again for us; and finally, Holy Spirit who moves everything, universe and history, towards the final recapitulation.
Three Persons who are one God, because the Father is love, the Son is love and the Spirit is love. God is entirely and only love, pure love, infinite and eternal. He does not live in splendid solitude, rather He is the never-ending source of life who incessantly gives and communicates Himself.
We may get some idea of this by observing both the macro universe (our earth, the planets, the stars and galaxies) and the micro universe (cells, atoms, elementary particles). In a certain way the 'name' of the Holy Trinity is engraved on everything that exists, because all being, down to the smallest particle, exists in relation to others.
Thus we see the "God of relation", thus in the final instance we see creative Love. Everything comes from love, tends towards love and moves impelled by love, though naturally with differing degrees of awareness and freedom. The strongest proof that we are made in the image and likeness of the Trinity is this: only love can make us happy, because we live in relation to others, we live to love and to be loved. Using an analogy taken from biology we could say that the human beings carry in their 'genomes' the profound traces of the Trinity, of God-Love.”