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Cipher Disk
Pixel

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Pixel

20. 八月 2026FI
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Cipher Disk

Two alphabet discs on a common pin, one turning inside the other. Line up any pair of letters and you have a substitution alphabet; that much is only a Caesar cipher made convenient. Leon Battista Alberti's insight in 1467 was to turn the disc partway through the message, so that the substitution changes as you go — and with that single move he broke the assumption every cryptanalyst had relied on for six hundred years, that each plaintext letter always becomes the same ciphertext letter. Frequency analysis, which destroys any fixed substitution, has nothing to bite on when the mapping keeps moving. Alberti also put the change-points in the ciphertext itself, as index letters, so the receiver knows when to turn.
初学者
1 hour

说明

1

Build the two discs

A fixed outer ring and a rotating inner one.

  1. Cut two card discs, one noticeably smaller.
  2. Write the alphabet evenly around each — use a protractor, not your eye.
  3. Pin them at the centre with a paper fastener so the inner turns freely.
Even spacing matters more than neatness: unevenly spaced letters mean the alignment drifts around the disc and pairs go wrong on the far side. Divide 360 by 26 and mark every 13.85 degrees.

此步骤所需材料:

Black Card StockBlack Card Stock1
Brass Paper FastenersBrass Paper Fasteners1
ProtractorProtractor1
2

Use it as a fixed substitution first

Establish the baseline that Alberti improved on.

  1. Set the inner A against outer D and leave it there.
  2. Encrypt a long message without moving the disc.
  3. Run the frequency attack from the Caesar blueprint on your own ciphertext.
It falls immediately, because a stationary disc is exactly a Caesar cipher with a convenient interface. Convenience is not security, and it is worth proving that on your own device before improving it.

此步骤所需材料:

Graph PaperGraph Paper1 pad
3

Turn the disc mid-message

Now make it polyalphabetic, and signal the change.

  1. Encrypt several words at one setting.
  2. Insert an index letter into the ciphertext to mark a change.
  3. Turn the disc so the index letter now aligns with a new position, and continue.
The index letter is a key change transmitted in the open. It tells the receiver what to do without telling an interceptor anything useful, because they do not know the disc's arrangement. Sending key-change information inside the message is a real cryptographic idea and it is Alberti's.
4

Measure what changed

Compare frequency profiles from step 2 and step 3.

  1. Tally ciphertext letter frequencies for the fixed-disc message.
  2. Tally them for the turning-disc message of similar length.
  3. Draw both charts side by side.
The fixed version shows the familiar spiky English profile, shifted. The turning version is visibly flatter, because a given plaintext letter now maps to several different ciphertext letters. Flattening the distribution is the objective — and you can SEE the defence working, which is rare in cryptography.
5

History and context

Leon Battista Alberti (1404-1472) was an architect, humanist and polymath who wrote on painting, architecture and the family, and produced his cipher treatise around 1467. He is often called the father of Western cryptography, and specifically for the polyalphabetic idea rather than the disc itself.

What made it a genuine advance: before Alberti, European ciphers were fixed substitutions with elaborations — nulls, symbols for common words — and al-Kindi's frequency analysis defeated all of them. Changing the alphabet mid-message attacks the analyst's core assumption rather than adding complexity on top of it. That is the difference between making a cipher fiddlier and making it stronger.

The disc had a long service life. Confederate forces used a brass cipher disc in the American Civil War, and the US Army's M-94 cylinder device of 1922 — twenty-five rotating alphabet discs on a shaft — is a direct descendant. Rotating alphabets lead on to the rotor machines, and Enigma is a cipher disc that turns itself, automatically, with three or more discs geared together.

The weakness Alberti left behind: if the disc turns on a short, repeating schedule, the cipher becomes periodic — and a period can be detected and attacked, which is precisely what breaks Vigenère. Alberti's irregular, index-signalled turning was actually stronger than the regular keyword systems that followed him, and cryptography arguably went backwards for a while.

材料

4

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