## On the Subject of Kugelblitz

S u c c u m b t h e v o i d

After the first solve, this module will display a dark orb with particles spinning around it rapidly. The particles are coloured in the colours from the rainbow. After every solve from a non-ignored module take the colours in rainbow order (ROYGBIV). If a colour is present, that bit is a 1. If not, it is a 0. For multiple Kugelblitz modules, refer to their colours in the “Coloured Kugelblitz” section of this manual. Combining every stage using bitwise XOR will present you with the final value. The final value is your starting coordinate formulated as xxxyyyR, with xxx and yyy being the binary equivalent of X and Y with (X, Y) = (0, 0) being top left.

When this module is ready to be solved, the particles will slow down drastically and turn either black or white. They will also pulse every 2.5 seconds. Starting with north go clockwise 45 degrees for each white particle on the module to obtain your initial direction.

### Iterating a Kugelblitz

Use the process below to obtain your numbers. The table (found on the second page) wraps around like a true projective plane: wrapping around vertically flips the table horizontally and wrapping around horizontally flips the table vertically. Follow the process until you obtain 7 digits.

- Start at the starting coordinate facing in the starting direction on the table. n is initially 0.
- Add the value of the position you are on to the current value and go forward in your direction one step.
- Repeat step 2 another n times.
- Modulo the resulting value by 7 to obtain a digit.
- Rotate 135 degrees counterclockwise if you had R = 1 and 135 degrees clockwise otherwise.
- Set your value back to 0, add 1 to n and return to step 2.