WDU - World Destruction Unit

The WDU
The r1111_11_wdu unit is an unstable self-replicating module capable of overwriting/destroying the entire world.

When placed the WDU replicates itself expanding in the environment in three different phases.
Infact the growth rate changes when the WDU cloud is bounded by the inferior and superior vertical construction limits (y=0,y=255)

Is then generated the so called WDU cloud.
The cloud is composed by WDUs on the octahedral external surface, and by an inert lattice structure on the inside.

Growth Phases

• I: Octahedral expansion.............. X(i+1)=X(i)+12+8*(i-2)
  
• II: Half octahedral expansion...... X(i+1)=X(i)+8+4*(i-2)+4*n_1
  
• III: Lateral expansion................... X(i+1)=X(i)+4+4*n_tot
  

Compatibility
The WDU is compatible with Universal Modules, if it's deployed on-grid (no relative offset with other modules) the WDU is capable of recognizing the Universal Modules and won't overwrite them; the rest of the world istead will be destroyed.

Simulation examples


Optimization
As can be seen from the plots above the second phase has a lower trend than the first one, to increase the growth we should reduce it.
The optimal point happens when n_1 is maximum and as near as possible as n_2; in this way phase II is reduced near to 0 and we obtain the maximum starting point for phase III, and so the maximum expansion rate.



About Construction
For safety reasons I built the WDU in a separate world specifically designed for the purpose, even with precautions the first template managed to overwrite itself and escape the containment. The world was gone, I had to rebuild the template from zero in a new world, with some modifications, this time with success.

NOTE:
The world-distruction is a massive parallel process with a variable increment cascade of autonomous reactions!
Since
lim(i→inf) X(i) → inf,
will be reached a point where the computer won't be capable of handilng the load and the world will be un-openable forever!
Once the procedure is initiated there is NO way STOP it in-game.

NEVER DEPLOY A WDU IN WORLDS NOT DESIGNED FOR WDU TESTING!
ALWAYS CREATE BACKUPS BEFORE DOING WDU TESTING!

If you found this project interesting please leave me a diamond, and if you have questions please ask them in the comments!