TLW’s comment has led me down a rabbit hole, and here is what I found.
Did you know that there are 13 ciphers that are simultaneously quagmire 1 and quagmire 2 ciphers?
One is the Vigenere, which is trivially all sorts of quagmires. Another is the Beaufort, which
is created with the keyword ZYXWVUTSRQPONMLKJIHGFEDCBA. The other 11 have these “keywords”:
If you didn’t notice, then let me point out that they are the affine cipher keys.
Then today I learned that there are 13 Q3s that have all of the even-numbered rotations of the Vigenere
in their tableaux. They are created with these keywords:
Try generating a tableau and see what I mean.
And if that weren’t enough, there are (2^13)(13!)/26 (trillions) Q3 ciphers that have ROT13
as one of the lines in their tableaux. Here is an example keyword and tableau:
NOPQRSTUVWXYZABCDEFGHIJKLM <- ROT13
ABCDEFGHIJKLMNOPQRSTUVWXYZ <- identity is in every Q3 tableau
Now, who will submit two lines from a tableau (but not one of my special ones) for me?
The magic trick is still on.