## On the Subject of Jumble Cycles

Ever get that felling of Deja-vu four times at once?

This module consists of a screen, eight labelled dials, and a QWERTY keyboard.

The labels on the dials, when decrypted and read from left to right, spell out an eight letter word.

Each letter has been encrypted by one of four different ciphers, depending on their colours.
(There will always be a pair of cyan labelled dials.)

Once deciphered, find the word in the table below, the word written below it is the word that should be entered.

Apply the same ciphers to the letters of the response word, and type out the encrypted response word using the keys.

The word is automatically submitted when eight keys are pressed.

The red button can be pressed at any time before the eighth key is pressed to cancel the input.

Inputting any of the eight letters incorrectly will cause a strike to be issued and reset the module.

#### White label: Caesar Cipher

The letter has been shifted forwards through the alphabet by the number of 45° clockwise rotations from north to the direction the dial is pointing.

#### Yellow label: Affine Cipher

The number N, for each dial, is the number of 45° clockwise rotations from north to the direction the dial is pointing.
(This number is between 0 and 7.)

Starting from A=1, the alphabetic position of each letter is multiplied by 2N+1.
26 is subtracted from the product until it falls within the range [1, 26].
This is the alphabetic position of the encrypted letter.

#### Pink label: Pigpen Cipher

Each letter is translated using the pigpen cipher below.
Starting from north, the pigpen characters are rotated to face the direction the dial is pointing.
The rotated pigpen characters are then translated back, as though they are still facing north, to produce the encrypted letter.

#### Cyan label: Playfair Cipher

• The number of 45° rotations across all dials, starting from north, of each pair of adjacent dials are interpreted as two digit octal numbers.
• The numbers are converted into decimal and the values congruent to these numbers modulo 26 are calculated.
• Starting from A=0, the values given by each pair of adjacent dials refer to the alphabetic positions of the first seven letters of a 5×5 keysquare in reading order.
• The remaining 18 letters fill the rest of the keysquare in alphabetical order, excluding X, which is never used.
• The word is split into four pairs of letters.
If a pair contains the same letter twice, the second is changed to a Z.
• Each pair of letters is altered:
• If both letters belong to the same row of the keysquare, shift both letters one space to the right along the row.
• If both letters belong to the same column of the keysquare, shift both letters once space down the column.
• Otherwise, the letters lie on diagonally opposite corners of a rectangle, the encrypted pair consists of the letters in the horizontally opposite corners from the original pair.

### Keyword Table

CONNECTSCONQUERSCOMMANDOCOMPILERDECEIVEDDECIMATEDISPATCHDISCRETE
ENCRYPTSENCODINGEQUATORSEQUALISEFINALISEFINNICKYFORMULAEFORTUNES
STANDOUTMONOMIALYOKOZUNACOMPILERTRIGONALLANGUAGEILLUSORYGATEWAYS
QUARTICSTOMAHAWKWHATNESSPOSTSYNCPOSITRONREVEALEDZYGOTENEJOURNEYS
INCOMINGINDIRECTILLUSORYILLUDINGJOURNEYSJOUSTINGJUNKYARDJUNCTURE
NUMEROUSORDERINGVENDETTAWHATSITSPROPHASEBINOMIALQUARTILEINDIRECT
MONOMIALMONOLITHMULTITONMULCTINGNANOWATTNANOBOTSNUMEROUSNUMERATE
ORDERINGORDINALSOBSTRUCTOBSTACLEPROPHASEPROPHECYPOSTSYNCPOSITRON
LANDMARKKILOVOLTEQUALISEPROPHECYMONOLITHWEAKENEDKILOBYTEDISCRETE
QUARTILEQUARTICSQUIRKISHQUITTERSREVERSEDREVEALEDRELAYINGRELATIVE
ENCODINGILLUDINGEQUATORSORDINALSCONNECTSFINALISEFORTUNESCOMMANDO
INCOMINGOBSTACLEFORMULAEOBSTRUCTULTERIORCONQUERSGATEPOSTMULCTING
UNDERWAYUNDOINGSULTERIORULTRAHOTVENOMOUSVENDETTAVOLITIONVOLUMING
KNOCKINGGARRISONMULTITONYEARLONGLINGEREDTOMOGRAMENCRYPTSBULLHORN
WEAKENEDWEAPONEDWHATNESSWHATSITSYEARLONGYEARNINGYOKOZUNAYOURSELF