The upper estimate of the number of galaxies in the observable universe is 2 trillion, which is far too few to find Shakespeare written with "galaxy dots".

There are an infinite number of ways to ascribe meaning to galaxy dots such that they would write out Shakespeare.

Can you propose one which doesn't use massive lookup tables?

Writing Shakespeare in English requires a pretty massive look up table - we call it a dictionary.

No, you don't need a massive dictionary. Remember that the topic of this thread is a circle composed of galaxy "dots".

An elongated circle can be the letter O or perhaps zero. You can similarly compose other letters visually using galaxy dots, and that's presumably what the original poster meant when talking about writing out a Shakespeare. If the universe was infinite, this would be a possibility.

Why? It's not random.