So instead of your 3-stacked tile attack being 3x as powerful as a single-hero tile attack, it’s 4.4x as powerful. That’s huge.
Fudge. Totally missed this. But it follows from the base design of MMOs. Usually in MMOs a 5* hero does exponentially increased damage versus 1* enemies to encourage updgrading heroes.
Color stacking just turns this effect up to 11. Further increasing the euphoric rush.
From a game design point of view it further reinforces the use of color specific 3*/4* ascension items making rosters of five rainbow 5* teams even more powerful and desirable than two rainbow 5* teams.
Missing heroes doing a fixed 1 HP damage does balance this out especially with the 90 seconds of terror known as titans.
I will now change how I assign 3*/4* troops and class nodes for heroes I usually color stack.
This piece of info appears to be the missing link for Gryphonkit’s insanely powerful Obakon, Rigard, Tiburtus, Cyprian, Hansel attack team ( the largest factor being how their specials interact ).
Aside, Gryphonkit is really annoyed at me for being on the forums when I should be resting. Oh well, that is what weekends are for, bad choices.
MMO stat curve soft cap
But in running my own tests on PvE, this doesn’t seem to be holding up. I can’t tell yet if the problem is:
- They split out the attacks individually at some point, like Kerridoc suggested
- There really is some linearization of the X^1.35 calculation as damage increases.
It looks, after about 80 sample points, as though #2 is more likely than #1. More research is definitely needed.
I am not surprised by this result. Most MMOs have a base stat curve then a soft cap or a hard cap. This sounds like Empires implemented a soft cap where they swap out a second equation ( or a second set of constants for the core equation ) once a stat value reaches X.
In Book of Heroes the soft cap increased with the number of stars, which required us to solve the soft cap equation before we could confirm the core stat curve. Empires appears to use the same equations for 1* heroes and for 5* heroes. More research is required.
Trying to track down the value of X for the soft cap, if it exists, will dramatically simplify your research since your are trying to solve for one equation when the data results from two very different equations in an “if then” situation.