[lubesGordi]

The article does say that some crystalline structures can have more entropy (information) than their fluid state. How could that be? Any ideas on what that fluid state might be? The information content in a crystal is really low.

[vishnugupta]

Unfortunately the author doesn't explain it beyond sharing a reference to this paper[1] which is way beyond my competence.

[1] https://www.nature.com/articles/nature08641

[lubesGordi]

Beyond me too, but I'm going to assume that this is sort of an edge case where fluid crystalline structure can have less entropy than the static version (sort of sounds like the laminar flow state has less complex structure than its packed solid state). I doubt it contradicts your description above (which is similar to my understanding as well).