This three-fold nature of God can be better understood by comparing it to water, which occurs in three forms or states: solid (ice), liquid (also called water), and gas (steam or vapor). Each is still water but exists in a different form. The same holds true for God.
An alternate analogy is to consider an egg: there is the shell, the white, and the yolk. Each part is different, yet each is still part of the egg. So it is with the three forms of God.