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--- en:rubberband [17.12.2024 18:05] – angelegt reflexrecon
+++ en:rubberband [18.12.2024 10:49] (aktuell) – reflexrecon
@@ Zeile 1: / Zeile 1: @@
 ======Rubberband======
 Reduction of Building and Research cost (and therefore also time).
-Depending on the Pointgab to Number 1.
+Depending on the Point gap to Number 1.
-Weights:
+=====Weights:=====
-  * Builduings 1x
+  * Buildings 1x
   * Research 0,8x
   * Fleet 0,6x
-Minimum gap to recieve a boost 10%.
+Minimum gap to receive a boost 10%.
 Reduction of up to 50%.
-Attention, this only reduces metal, crystal and deutherium costs, not energy costs like for example for graviton.
+=====Formulas:=====
+Weighedpoints(WP) = Buildingpoints + (Researchpoints * 0,8) + (Fleetpoints * 0,6)
+Factor1 = 10 * 0,9747^(Own WP / Maximum WP * 100)
+Reductionfactor = (1 - (1 - maxFactor) / (maxBoost - 1) * (Faktor1 - 1))
+maxFactor = 0,5
+maxboost = 10
+Factor1 can be between 1 and 10.
+Reductionfactor between 1(no boost) and 0,5(50% discount)
+=====Example-graph=====
+The following graph shows the reductionfactor distribution in the case of the maximum weighed points (in the whole Universe) being exactly 100,000. \\
+In this case players up to 90,000 WP get a reduction. \\
+{{:en:rubberband-graph-en.png?direct&600|}} \\
+A player with 12,000 WP would get a bit over 35% discount. \\
+A player with 38,000 WP would get a bit over 15% discount. \\
+A player with 64,000 WP would get a bit over  5% discount. \\
+=====Other=====
+Attention, this only reduces metal, crystal and deuterium costs, not energy costs like for example for graviton.
+Because all Points are weighed, Number 1 of the Overall Leaderboard is not necessary the Reference for the Boost.
+====Example: ====
+. place has 50,000 Buildingpoints, 10,000 Researchpoints, 40,000 Fleetpoints and 7,001 Defensepoints.\\
+That calculates to 82,000 WP. \\
+. place has 85,000 Buildingpoints, 9,000 Researchpoints, 13,000 Fleetpoints.\\
+That calculates to 100.000 VGP. \\
+In this case 2. place is the reference for the mechanic and 1. place would get a reduction of 1.24%.
 More Infos:
   * https://codeberg.org/pr0game/pr0game/issues/1041
   * https://discord.com/channels/921077492427685970/1262508006558400644/1282105088126488579