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Cryptology - Unofficial St. Mary's College of California Web Site

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10.3. TURNING GRILLES 191<br />

1 2 3 7 4 1<br />

4 5 6 8 5 2<br />

7 8 9 9 6 3<br />

3 6 9 9 8 7<br />

2 5 8 6 5 4<br />

1 4 7 3 2 1<br />

Figure 10.1: A 3 × 3 turning grille.<br />

cut out boxes in the new sheet that are where and <strong>of</strong> the same size as the boxes<br />

you highlighted on the first sheet. We have made a turning grille. In Figure<br />

10.1 a set <strong>of</strong> numbers has been chosen, as the bold typeface indicates.<br />

To encipher the message lay your grille onto a clean sheet <strong>of</strong> paper. Moving<br />

from left to right and top to bottom, as usual, write your text in the holes in the<br />

grille. Once you have filled the holes give your grill a quarter turn and continue<br />

with your message. If your message is quite long you may have to repeat the<br />

filling process on a second or even third sheet <strong>of</strong> paper, while if your message is<br />

short, you’ll probably want to fill the remaining spots with nulls.<br />

The deciphering process is the natural opposite <strong>of</strong> the enciphering: lay the<br />

grill over the sheet and copy the letters <strong>of</strong>f that you can see, turning the ciphersheet<br />

one quarter each time you have copied down all the letters.<br />

Examples:<br />

(1) Encipher Girolomo Cardano was a mathematician using the grille in<br />

Figure 10.1.<br />

Nine letters at a time will be entered.<br />

partial ciphertext looks like<br />

After the first nine letters, the<br />

O<br />

I<br />

O<br />

R<br />

M<br />

G<br />

L<br />

O<br />

C<br />

Now give the grill one quarter twist and enter nine more. This make<br />

A G<br />

R I D<br />

R A O<br />

N L O<br />

O W M<br />

S O A C

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