Abdiel_Kavash

Abdiel_Kavash t1_j16y2nl wrote

> It works quite well for sci fi that there's something called the blue beam of death. That unshielded shine directly from a high intensity radiological source, if one is unwise or unlucky enough to look at it, causes the human eye to perceive it as blue.

Is it actually blue (as in, if you let it shine on a white wall, and you look at the wall from behind a sufficiently shielded, but transparent partition, would you see the wall as blue), or does it just literally burn your ocular nerves and your brain trying to make some sense of it interprets it as "the color blue"?

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Abdiel_Kavash t1_irj7klm wrote

Just a minor note, in your example, JATO is not a valid result, because you had already eliminated T.

Even so, why should choosing the "most popular" letter be the optimal strategy? Letter frequencies (Etaoin Shrdlu) are based on a corpus of English texts. Naturally the distribution of words in these texts is not uniform. The reason "E" and "T" are so high is partly because they occur in the word "The". If the game is selecting words uniformly at random from a dictionary, surely the frequency distribution of letters is going to be dramatically different.

I would imagine that an optimal strategy would involve building some decision tree over the set of all n-letter words in a dictionary, in a way that you eliminate as many different words as possible with each failed guess. Quick googling told me there are about 20,000 six-letter and 35,000 seven-letter words in English (the number of 4- and 5-letter words is much smaller). If we can get even 2 bits of information out of every guess on average, we should be able to uniquely determine the hidden word.

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