how about a Cherry pie, cut it in three distinct pices and see this as looking at the pie three pieces and thefilling just flows right back together
Or take look at an egg. When one breaks the egg open is it an egg any longer? Does it not take all three parts of the egg to be an egg. Therefore the shell (Jesus) the White (Holy Ghost) and the yoke ( God the Father)
Now originally we were born in the image of God Body, Soul, and Spirit. And when Adam and Eve did what they did, man lost one of the three parts, known today as dead Spirit. And Christ came here to fulfill Law and Prophets and did do this then died and rose again to make us whole and this comes by belief, and only God can give. To be whole we need all three original parts yes?
Another analogy is water, steam and ice are all water yes, just in differant forms
hope to have helped