Armor and Dodge

From Basin Wiki

Comparison of damage reduction provided by armor vs. dodge

The goal is to compare the changes in survivability of increasing dodge chance to increasing armor points. We will calculate effective health pool as a function of the current unmodified health, armor and dodge chance percent

y: Dodge Percent

x: Armor Points

C: Current Unmodified Health

f(x, y) = Effective Health Pool

f(x, y) = C * (1 + x/5500) / (1 - y/100);

f(x, y) = (C/55) * (5500 + x) / (100-y)

df/dx = (C/55) / (100 - y)

df/dy = (C/55) * (5500 + x) / (100 - y)^2

Assume we increase dodge by 1 and armor points by some constant D. We want to find the set of points (x, y) where both increases result in the same increase of f(x,y)

D * df/dx = df/dy, which can be simplified to: D = (5500+x)/(100-y)

That is, for any current value of dodge and armor, you get the same benefit increasing dodge by 1% or your armor by (5500+CurrentArmor)/(100-CurrentDodge)

For example, given AC = 10000 and Dodge=15% you need to increase armor by 182 to achieve the same benefit that 1 extra percent of dodge gives you. Substitute your current values to get your current breakpoint.

This is, of course, ignoring the various real-life shortcomings of dodge as mitigation method. Also note that AC here is AFTER modification by your bearform bonus.