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The Logic Behind Substitution Ciphers: Patterns and Deduction
How solving a substitution cipher works as a deduction exercise, and which letter patterns help.
Key Research Takeaways
- A substitution cipher replaces each letter with another, the same way every time, so each hypothesis can be tested against the whole quote.
- English has useful regularities. Single-letter words are almost always A or I, and E is the most common letter in English text.
- Good solvers test an idea, check it against every word it touches, and drop it quickly when it breaks.
How substitution ciphers work
In a cryptogram, every letter of the quote is replaced by one cipher letter, and the same replacement is used throughout. Punctuation and spaces stay in place, which gives you the shape of each word. The puzzle is a series of small tests: once one guess is right, many letters fall into place.
Patterns that help
Single-letter words are usually A or I. Double letters such as LL, EE, SS and OO are common. Endings such as -ING, -ED and -LY appear often. Letter frequency also helps: E, T, A, O, I and N are among the most common letters in English.
Testing hypotheses
A guess can look right in one word and fail in another. When that happens, check the other words that use the same cipher letter. Dropping a wrong guess early saves more time than forcing it to fit.
Put This Theory Into Practice
Experience these cognitive mechanisms firsthand with Smotix's free daily brain puzzles: