## On the Subject of Kugelblitz

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

This module will display a dark orb with seven coloured particles spinning around it rapidly. The particles are either coloured (1) or greyscale (0). Every solve alternates the greyscale between black and white. For each solve take the binary values of all the particles in rainbow order (ROYGBIV). If a colour does not appear, that bit is a 0, as it is a greyscale particle. XOR this binary string with the previous (if possible) to obtain your new binary string. For multiple Kugelblitz modules, refer to their colours in this manual. The final value is your starting coordinate formulated as Rxxxyyy, 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 white, or a pure rainbow colour. They will also pulse black every 2.5 seconds. Starting with north go clockwise 45 degrees for each **coloured** 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) is wrap-around like a klein bottle: wrapping around north and south flips the table around the vertical axis and wrapping around east and west flips the table around the horizontal axis. Stop when 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 previous process 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.