Yes I know no analogy can fully capture the mystery of the trinity, nonetheless, we sometimes use them in trying to explain to a non-Christian, and some analogies are better than others. What do you think of this analogy for the trinity: a cube and its dimensions. (I know CSL used a cube and its faces, this is slightly different, and if it's old news, I apologize.)

- There is only one cube.
- There are 3 dimensions.
- The dimensions are coequal. I dont mean just literally coequal (they are of course) but you cant say any of the dimensions are superior to the others.
- The dimensions will last as long as the cube.
- The dimensions are distinct from each other.
- The dimensions are consubstantial. (indulge me the assumption that the cube is homogenous :) )
- If you point to or talk about any of the cube's dimensions you're actually referring to the cube.
- No dimension can exist apart from the others.
- If you take away any dimension the cube ceases to be a cube.
- The dimensions are as old as each other.
- It is ludicrous to say that one dimension is 1/3 of the cube. In fact it cannot be said what percentage of the cube is one dimension, or two of the dimensions.
- At no point in time did one dimension exist by itself, then was followed by the other 2 dimensions. The dimensions formed a cube from the beginning.

What do you think?