Marplots: If we dodge the limits of the material (the palette) and take our God to be all-powerful (and the other attributes) we are still stuck. It does little good to view a work from an artist who is all artists -- any style is only a subset of the possible styles and no information is obtained by viewing a single work.
Here I think we are stretching the analogy too far.
I will refer to God's mark as his signature, if we are considering an all powerful God, all existence would fall under the scope of his signature including the material. So space or time or mass might be his particular signature or choice.
It's tricky and gets back to what we mean by "all powerful." Some take that to mean anything at all, others add something like, "able to do anything possible, but not anything at all."
So, for example, can God make a round triangle or something that is both wet and dry (or solid and liquid) at the same time. If God is limited by what is possible, then the all-choice thing drops away. If He decides to make the elements one way for one reason, He can't also have them do other things for another reason. Once you pick gravity as having a certain value there are consequences that determine how the world will be.
These consequences will at times appear negative or even evil. So, if you choose weather as a way to shuffle things around on a planet, the fact of moving air leads to things like hurricanes and tornadoes. One can argue there might be a solution set that accomplishes all that God wants without any downsides, but my guess is that this is impossible for a mathematical reason -- the degrees of freedom introduce chaos.
The only out I can see is if God dips His hand into the nuances of the machine, adjusting things toward His design almost continuously. My guess is that such interference would be detectable -- the dice rolls too many threes or something like it.
That's what I meant by limitations. Choosing is an act of self limiting. I can be locally all powerful, but if I want eggs for breakfast, I can't simultaneously have an egg-free breakfast, nor can I have the same egg scrambled and over easy. Add in the toast, bacon and juice and you can see how things start to get complicated quick.
If we knew which choices were of primary importance to God, we'd have a better idea. I'm not even convinced that humans are at the top of the choices menu.
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Shoot me now.