Here is a copy of the description from the Barbie video:

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I first found this story on the crypto museum website, which has great information about the Barbie typewriter (and other cipher machines) https://www.cryptomuseum.com/crypto/m...

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Thanks to Sarah Everett from Just My Typewriter, check out her channel here:    / justmytypewriter  
And Sarah's own Barbie video here:    • I got a BARBIE TYPEWRITER!  

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Here's the link for my cryptography course: https://singingbanana.com/codescourse

And in case you have any problems with that link, here is the long link https://www.udemy.com/course/the-math...

Make sure you use my link because it includes my referral code.

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UPDATES FROM THE COMMENTS

The most important update comes from a comment by Rosie Fay, who spotted that cipher 1 is just a cycle on 90 symbols.

What does that mean? We often write codes in two-row notation like this
Plaintext: ABCDE
Ciphertext: DAEBC

But we can write that as two chains: A becomes D becomes B becomes A, and C becomes E becomes C.
Or more compactly we write (ADB)(CE).

Barbie cipher 1, is just one long chain, using 90 symbols, like this:

mjvgxdlbcorneaithsfpuqkyzw;¢+%:,W.MZBFCA (right angle bracket) RSETHONILDUGYPQKJV (left angle bracket) X1234056789-¨§£€='_)(*#@?/^!&"

YouTube doesn't allow the angled brackets in the description so I wrote them out, but that is meant to be one chain of 90 symbols.

Rosie Fay then also spotted that cipher 2 is cipher 1 applied twice (we call that the second power).
Cipher 3 is cipher 1 applied three times (third power).
And cipher 4 is cipher 1 applied four times (fourth power).

So there are some fun things we can discover from this.

1. We can apply the ciphers in any order, and order does not matter (they are commutative).
For example, cipher 2 followed by cipher 4 is the same as cipher 4 followed by cipher 2. In fact they are both equal to cipher 1 applied six times.

2. If you applied cipher 1 90 times, you would get back to the original message.

3. The decryption cipher for cipher 1 is cipher 1 to the 89th power.
The decryption cipher for cipher 2 is cipher 1 to the 88th power.
The decryption cipher for cipher 3 is cipher 1 to the 87th power.
The decryption cipher for cipher 4 is cipher 1 to the 86th power.

And you could think of these as eight different ciphers. But they work in pairs to code and decode.