So, when you use the quake spell it takes 4 of them to take down walls, but that's wrong, let me explain.
The Math Behind the quake spell
I am going to be using a lvl 1 quake spell, because the other lvl's dont matter.
Im use people have used the quake spell by now, and that it takes 4 of them to take out walls, but the problem is that this is wrong. The reason this is wrong is because, this is exponential decay, and if you remember from school, whenever something is exponential it will never reach/touch the asymptote, in other words the limit does not exist. It wouldn't take 4 spells to take down walls, it would take an infinite amount of spells, but it still wouldn't take down walls.
Equations:
Y=a(1-b)^x
Y=a(b)^x
a= Hitpoints
b= damage percentage
x= spells used
When I first thought of this I used this equation Y=a(1-b)^x for a few hours I thought that it would take 30-40(I say that because I didn't want to find the exact number) spells to get close to the asymptote/limit (0). I changed equations, I changed to a much simpler one Y=a(b)^x this one got me much closer to the 4 spell target. Here's my math.
(I will be using the hitpoints of a lvl8 wall)
Y=3000(.24)^4 = 9.95328 this means that the will will have 10 hitpoints left, but you say ok just one more quake spell, lets try it.
Y=3000(.24)^5 = 2.38879 ok one more should do the trick
Y=3000(.24)^6 = 0.5733 ok looks like it did the job, not so fast there. Thats half of 1 NOT 0
Y=3000(.24)^7 = 0.137594 still not 0
Y=3000(.24)^8 = 0.0330223 still not 0, but close enough. thats where supercell calls it 0, but really you can keep going forever.
if you were to change this to a lvl 9 wall it would take more spells to get it close to the asymptote/ limit (0)
Now I don't know calculus, so there could be a better equation out there that can solve this better, that's why i'm using algebraic equations.