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How to Solve Cryptograms: Tips for Cracking Letter-Swap Ciphers
A cryptogram replaces every letter of a quotation with another letter, the same way throughout. To solve one, start with the most constrained words: one-letter words are almost always A or I, and the most common three-letter word is THE. Fill those in everywhere they appear, and the partly revealed words will suggest the rest.
How the cipher works
Our cryptograms use a simple substitution cipher: each letter of the alphabet is swapped for a different letter, and the swap is the same in every word. If X stands for T once, it stands for T everywhere. No letter stands for itself. Spaces and punctuation are left in place, and they are some of your best clues.
Start with the short words
- One-letter words are almost always A or I.
- Two-letter words: OF, TO, IN, IT, IS, BE, AS, AT, SO, WE, HE, BY, OR, ON, DO, IF, ME, MY, UP, AN, GO, NO, US, AM.
- Three-letter words: THE and AND lead by a wide margin, followed by FOR, ARE, BUT, NOT, YOU, ALL.
Example: if the cipher word XQB appears several times, try THE. Then every X becomes T, every Q becomes H and every B becomes E across the whole puzzle.
Look for patterns
- Apostrophes: a single letter after an apostrophe is usually S or T (IT’S, DON’T). Two letters after it are often LL, RE or VE.
- Double letters: the most common are LL, EE, SS, OO, TT and FF.
- Repeated shapes: a cipher word like
ABCAhas the same first and last letter; THAT is a good guess. - Word endings: -ING, -ED, -LY and -TION show up often in quotations.
Use letter frequency to finish
In ordinary English text the most frequent letters are roughly E, T, A, O, I, N, S, H and R. Count the cipher letters in the puzzle: the most common one is a good candidate for E. Frequency works best on longer quotations and is a tie-breaker, not a rule.
A worked example
Take this cipher: UHXX IAQH ZD FHRRHL RTJQ UHXX DJZI.
- Repeated words.
UHXXappears twice and ends in a double letter. Four-letter words ending in a double letter include WELL, TELL, WILL and FALL. - The double inside
FHRRHL. A six-letter word with a double letter in the middle and the same letter in positions 2 and 5 fits BETTER, so F = B, H = E, R = T and L = R. ThenUHXXis _ELL, and WELL is the natural choice: U = W, X = L. - Fill in everywhere. With E, T, R, W and L known,
RTJQreads T___ andIAQHreads ___E. THAN and DONE fit, which gives H, A, N, D and O. - Finish.
DJZInow reads _A_D. SAID fits, so D = S and Z = I, andZDbecomes IS.
The quotation is Benjamin Franklin’s: “Well done is better than well said.” Notice how one confident word (BETTER) opened almost the whole puzzle.
Mistakes to avoid
- Using a letter twice. Each plain letter has exactly one cipher partner. If R already stands for T, nothing else can.
- Sticking with a bad guess. If a guess creates an impossible word, undo it right away; the longer it stays, the more it misleads.
- Trusting frequency too much. In a short quotation, E might appear only once or twice. Patterns beat counting.
A routine that works
- Solve one-letter words, then try THE and AND on three-letter words.
- Fill each guess in everywhere and read the partly revealed words.
- Use apostrophes, doubles and word endings to confirm or reject guesses.
- If a guess leads to an impossible word, undo it. In our game, Check marks wrong letters in red and Hint places one correct letter.
Practice: play a cryptogram.
Frequently asked questions
- What is the easiest way to start a cryptogram?
- Look for one-letter words (A or I) and a repeated three-letter word (usually THE). Filling those in everywhere reveals parts of many other words.
- Can a letter stand for itself in a cryptogram?
- Not in ours. Every letter is swapped for a different letter.
- What is the most common letter in English?
- E, followed roughly by T, A, O, I and N. In a cryptogram the most frequent cipher letter is often E, but short quotations can break the pattern.
