## On the Subject of Gemini

Never one... without the other!

• A module of the Gemini Twins, either Castor or Pollux, will contain a go button, 10 numbered buttons, and five screens.
• The top screens will each display numbers, with the number coming next being the sum (Castor) or the difference (Pollux) of the currently displaying number and a fixed number. This number is specific to each screen, and each screens has a different number.
• The bottom left screen is a countdown timer, which is yet to be started. Type in 9 digits (which will appear in the top screens) and the tap the GO! button to start the timer. It will always count down over a bomb timer tick. Pressing GO! before typing in 9 digits into the top screens will incur a strike.
• The goal is, when the timer reaches zero, that all three numbers on the screen have the same value. Successfully doing so will disarm the module. Unsuccessfully doing so will incur a strike and reset the module.
• To set the numbers, press the numbered buttons at the bottom of the module, or type with the numbers on your keyboard. The cycling sequence of numbers will stop, and your input will appear starting from the right, and shift left upon every input.
• If you wish to return to the cycling numbers, hold the GO! button for at least one second.
• Note: If both a Castor and a Pollux appear on the same bomb, they may be linked! Use the screen at the bottom right to determine which modules are linked. Linked modules have the same two-letter code.
• Two linked modules must solve at the same time. If one’s timer expires before the other, and it solves, the other module will strike, reset, and unlink. Otherwise, if it strikes, the other module will reset, not strike, and stay linked.
• To solve two linked modules, press GO! on the module with more time on the timer, then press GO! on the module with less time when both are displaying the same time. They will sync with each other, and with the bomb timer.

### Solving method

#### Pollux

• Take the difference of two consecutive numbers on the same screen. That’s the number for that screen. Do the same for the other screens.
• Multiply each screen’s number by the (not started) number on the timer. Modulo 1000. That’s your input for that screen. Repeat for the other screens.

#### Castor

• Take the difference of two consecutive numbers on the same screen. That’s the number for that screen. Do the same for the other screens.
• Multiply each screen’s number by the number on the timer. Modulo 1000, then subtract 1000. Drop the negative sign. That’s your input for that screen. Repeat for the other screens.