Color Stacking: The Odds

[Garanwyn]

You’re welcome! Glad you found it interesting.

@KnifeWonder

i’ve read somewhere on a board, i dont think it was here on the forum, that when you’re staking like, 5 reds for example, you get a small bonus to the overall attack too, like basically if your attack power is 100% when having a monochrome team it will be like 105/110%.

Put in this way, it is just a myth. But there really is a big advantage to color stacking on tile damage, and it comes from the way the damage equation works (sorry if you already know this; but it may be new info to some people).

• Average Tile Damage = 33*(Attack/Defense)^1.35

When you stack colors, the attack stats of all of the attackers of the same color get added together to come up with that “Attack” number. The exponential in that equation is huge in it’s effect when you significantly increase the damage.

Let’s say you stack 3 of the same hero as your color stack. Then the tile damage for that color would be:

Average Tile Damage = 33*(3*Single_Attack/Defense)^1.35

We can actually factor the 3x out if the equation like so:

Average Tile Damage = 33*(Single_Attack/Defense)^1.35 * 3^1.35

Now, 3^1.35 = 4.4

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.