How much of the dictionary can ever appear?
Not every word the dictionary holds can be traced on any legal board. Which ones can't, and exactly why.
variant
dictionary
What the dice can and cannot reach
A word is spellable if some legal shake of these exact cubes can lay it out — proved by construction, not observed in a sample. Most of the dictionary clears that bar. This is the part that doesn't, and the physical reason each word is out.
Spellable words by length
Share of dictionary words of each length that can appear on at least one legal
board — exact (tokenization + dice matching), not sampled.
Why the rest can't happen
Each word is filed under the first wall it hits — the one it came closest to
clearing.