# Defense Rating

To make things a lot simpler than the normal formulae for Minecraft damage calculations, which look something like this:

Armor Damage Reduction by % and Damage Received

As you may notice, as damage increases, you armor's effectiveness actually decreases. This works just fine in Vanilla gameplay since nothing is ever going to hit you for 80 damage, but that is a sure possibility on PrometheumMC. Just to drive the point home, here is a graph of perceived damage.

Damage After Reduction / Damage Before Reduction

In this graph, all reduced damage eventually reaches a linear relationship with damage before reduction, which means that past a certain point your armor becomes useless.

Using the new Defense stat, all armor now uses a much simpler formula of:

$f(x) = d(1-{D \above{1pt} D+100})$

Where:

*f(x)*= damage after reduction

*d*= unmodified damage recieved

*D*= total defense points

Here's what that looks like on a graph:

Given 20 initial damage:

With

*d*= 20, let's see a graph of damage over upward scaling defense points. You can see that at around 100 defense, the damage is halved. That is due to the formula giving flat damage negation at all damage levels.

Damage Reduction in % over Increasing Defense Points

Flat number chart of actual damage taken for a specific amount of received damage and defense points:

Here's another visualization, this time instead of putting flat damage against scaling defense points, let's put scaling damage over flat defense points:

Scaling damage over Flat Defense Points

Here it is really easy to tell that with

*D*being 100, incoming damage is reduced by 50% for all damage values. Put simply, defense is easier to manage. Defense will work better with larger damage numbers, and can be increased by upgrading armor.

Last modified 9mo ago