When Discussing The Trinity, Abandon Analogies…
Or, as Calvin put it
I really do not know whether it is expedient to borrow comparisons from human affairs to express the force of this distinction [among the divine persons]. Men of old were indeed accustomed sometimes to do so, but at the same time they confessed that the analogies they advanced were quite inadequate.
Thus it is that I shrink from all rashness here: lest if anything should by inopportunely expressed, it may give occasion either of calumny to the malicious, or of delusion to the ignorant. – John Calvin
In short, analogies create more problems than they solve. Abandon them for they arm the angry atheists and confuse the ignorant.