Defense

Defense is a player statistic that determines how much damage can be taken per hit. Defense can be increased by wearing armor and accessories, and temporarily boosted by various buffs.


 * In Classic Mode, incoming damage is reduced by half of defense rounded up.
 * In Expert Mode, incoming damage is reduced by of defense rounded up.
 * In Master Mode, incoming damage is reduced by of defense.

No hit can be reduced below 1 damage (with the exception of a player whose multiplayer ally is wearing a Paladin's Shield).

Some forms of damage are impossible to reduce through defense. Damage from health-draining debuffs like Cursed Inferno or drowning in water are not reduced by defense. Damage taken from lava, however, can be reduced through defense.

Mechanics
Defense gives a flat reduction in damage, i.e. damage is reduced by a fixed amount per hit (as opposed to a multiplicative damage reduction, which would reduce damage by a percentage).

Normal Mode formula
The formula is:

For example:
 * With 20 defense, a 40 damage attack is reduced by 10, resulting in 30 damage taken:
 * With 30 defense, a 40 damage attack is reduced by 15, resulting in 25 damage taken:

Expert Mode formula
In expert mode, the formula is:

For example:
 * With 20 defense, a 40 damage attack is reduced by 15, resulting in 25 damage taken:
 * With 30 defense, a 40 damage attack is reduced by 23, resulting in 17 damage taken:

Note that in Expert mode only the player's defense follows the formula. Enemies will still take the same amount of damage as in normal mode.

Master Mode formula
In master mode, the formula is:

For example:
 * With 20 defense, a 40 damage attack is reduced by 20, resulting in 20 damage taken:
 * With 30 defense, a 40 damage attack is reduced by 30, resulting in 10 damage taken:

Enemies
Enemies have a defense statistic just like players do, but they do not gain more protection from defense in or. Enemies will always reduce incoming damage by 50% of their defense regardless of difficulty:

Examples:

Armor and Accessories
A player's defense score can be increased by equipping armor and accessories. Armor usually consists of three items, granting an additional bonus, the Set Bonus, which may increase the defense score further, if all three pieces match. Some accessories grant direct defense boosts (see the following table), but all accessories can also be reforged to a maximum of +4 defense per accessory.

See armor for detailed defense information about every piece of armor.

The following accessories increase the player's defense:

Buffs and Debuffs
Buffs and debuffs can temporarily alter a player's or an enemy's defense. Currently, there is no buff increasing enemies' defense. A player's defense cannot be reduced to fall below 0.

Damage reduction boosts
All damage reduction boosts (except Warmth Potion) affect damage taken after defense. Also, Solar Blaze, Beetle Endurance, Warmth and Paladin's Shield calculate damage multiplicative with each other and other effects calculate additive. So firstly the raw damage is decreased by the Banner's effect (25% reduction for Normal mode and 50% for Expert and Master) and Warmth Potion (30% reduction from cold source), then the remaining damage is reduced by defense (0.5 per defense for Normal mode, 0.75 for Expert and 1 for Master), the remaining damage is then reduced by all additive damage reduction, then by Beetle and Solar Flare armor's buff, finally by Paladin's shield. (also, each step will round down the damage value but the value cannot be less than 1) For example, in a master world, a cold-themed enemy somehow will deal 2000 damage to a player, the player wears a full set of Solar Flare armor (with its buff), a Worm Scarf, a Frozen Turtle Shell (with its buff on), with buff of Endurance, Warmth, a banner of that enemy, a teammate with Paladin's Shield and 140 defense.


 * 1) The banner reduces the damage by half, so 1000;
 * 2) The Warmth potion reduces it by 30%, so 700;
 * 3) The defense reduces it by 140, so 560;
 * 4) The Worm Scarf (17%), Endurance (10%), Solar Flare armor (12%) and Frozen Turtle Shell (25%) reduce damage additively, so they reduce it by 64%, so 201.6, round down, 201;
 * 5) Solar Flare armor's buff reduces it by 20%, so 160.8, round down, 160;
 * 6) A teammate's shield will reduce it by 25%, so player will take 120 damage.
 * 7) The teammate will take 40 damage, and it will be further reduced by that player's status (banner and warmth will not take effect though)

Armor Penetration
Armor penetration is hidden statistic that ignores portion of enemies defense. For instance, a Pixie normally has defense. If the player has Shark Tooth/Stinger Necklace, then the Pixie will be taken to have defense instead.

Max defense
The highest possible defense uses the following setup:


 * Armor – 82 defense in total
 * Solar Flare Helmet or Hallowed Mask – 24 defense
 * Solar Flare Breastplate – 34 defense
 * Valhalla Knight's Greaves – 24 defense
 * Accessories (at night) – 59 / /  defense in total
 * Hero Shield - 10 defense
 * Flesh Knuckles – 8 defense
 * Berserker's Glove - 8 defense
 * Celestial Shell – 7 defense (at night when not submerged)
 * Frozen Shield – 6 defense
 * Paladin's Shield -
 * Ankh Shield -
 * Warding modifiers on all accessories – 20 / /  defense
 * Buffs – 25 defense in total
 * Ironskin – 8 defense
 * Exquisitely Stuffed – 4 defense
 * Dryad's Blessing – 8 defense
 * The Bast Defense – 5 defense
 * Guarding with the Brand of the Inferno or Sergeant United Shield – 20 defense

Therefore, the maximum defense is: 82 + 59 + 25 + 20 = 186 / /.


 * Armor – 82 defense in total
 * Solar Flare Helmet or Hallowed Mask – 24 defense
 * Solar Flare Breastplate – 34 defense
 * Valhalla Knight's Greaves – 24 defense
 * Accessories (at night) – 54 / /  defense in total
 * Hero Shield - 7 defense
 * Flesh Knuckles – 7 defense
 * Berserker's Glove - 7 defense
 * Celestial Shell – 7 defense (at night when not submerged)
 * Frozen Shield – 6 defense
 * Paladin's Shield -
 * Ankh Shield -
 * Warding modifiers on all accessories – 20 / /  defense
 * Buffs – 25 defense in total
 * Ironskin – 8 defense
 * Exquisitely Stuffed – 4 defense
 * Dryad's Blessing – 8 defense
 * The Bast Defense – 5 defense
 * Guarding with the Brand of the Inferno or Sergeant United Shield – 20 defense

Therefore, the maximum defense is: 82 + 54 + 25 + 20 = 181 / /.


 * Armor – 79 defense in total
 * Chlorophyte Mask – 25 defense
 * Solar Flare Breastplate – 34 defense
 * Valhalla Knight's Greaves, Solar Flare Leggings, or Vortex Leggings – 20 defense
 * Accessories (at night) – 48 / defense in total
 * Flesh Knuckles – 7 defense
 * Celestial Shell – 7 defense
 * Paladin's Shield – 6 defense
 * Two out of Ankh Shield, Moon Stone, Celestial Stone – 8 /  defense
 * Warding modifiers on all accessories – 20 / defense
 * Buffs – 18 defense in total
 * Ironskin – 8 defense
 * Well Fed – 2 defense
 * Dryad's Blessing – 8 defense
 * Guarding with the Brand of the Inferno – 20 defense
 * Additionally, if a player is traveling at top speed in a Mechanical Cart, they can reach a defense boost of.

Therefore, the maximum defense is: 79 + 48 + 18 + 20 = 165 /.

Therefore, the maximum defense is: 76 + 42 + 10 = 128
 * Armor - 76 defense in total
 * Dragon Mask - 26 defense
 * Beetle Shell - 32 defense
 * Beetle Leggings 18 defense
 * Accessories - 42 defense in total
 * Paladin's Shield – 6 defense
 * Ankh Shield - 4 defense
 * Moon Stone (at night)/Sun Stone (at day) - 4 defense
 * Frozen Turtle Shell (at low health) - 30 defense
 * Celestial Stone - 4 defense
 * Warding modifiers on all accessories – 20 defense
 * Buffs - 10 defense in total
 * Ironskin – 8 defense
 * Well Fed – 2 defense

Damage reduction
Damage reduction is calculated after defense.

The highest damage reduction possible is 73.6% (or 81.52% against cold-themed enemies), using the following setup:


 * Armor (multiplicative)
 * Beetle armor with shell – 45% reduction
 * Warmth Potion - 30% reduction against cold-themed enemies
 * Accessories and Potions (additive)
 * Frozen Turtle Shell – 25% reduction
 * Worm Scarf – 17% reduction
 * Endurance Potion – 10% reduction
 * If Paladin's Shield buff is on, it can reduce additional 25% damage after defense.

Therefore, the maximum damage reduction is: (1 - 0.45) * (1 - (0.25 + 0.17 + 0.1)) = 0.264 = 26.4% damage taken = 73.6%

The maximum damage reduction against cold-themed enemies is: (1 - 0.45) * (1 - 0.3) * (1 - (0.25 + 0.17 + 0.1)) = 0.1848 = 18.48% damage taken = 81.52% (note that the Warmth Potion is calculated before defense).


 * Armor (multiplicative)
 * Beetle armor with shell – 45% reduction
 * Accessories and Potions (additive)
 * Endurance Potion – 10% reduction
 * Warmth Potion - 30% reduction against cold-themed enemies
 * This does not include the Paladin's Shield buff, since its damage reduction occurs before defense, and all others occur after defense.

Therefore, the maximum damage reduction is:(1 - 0.45) * (1 - 0.1) = 0.495 = 49.5% damage taken = 50.5%

The maximum damage reduction against cold-themed enemies is: (1 - 0.45) * (1 - (0.1 + 0.3)) = 0.33 = 33% damage taken = 66%


 * Armor (multiplicative)
 * Beetle armor with shell – 45% reduction
 * Accessories and Potions (additive)
 * Endurance Potion – 10% reduction
 * This does not include the Paladin's Shield buff, since its damage reduction occurs before defense, and all others occur after defense.

Therefore, the maximum damage reduction is: (1 - 0.45) * (1 - 0.1) = 0.495 = 49.5% damage taken = 50.5%

Trivia

 * Although not possible in-game, if a piece of armor were to gain a modifier, it would apply the effects just like an accessory would. For example, a set of Warding modified armor would add 12 defense total; each piece adds 4 defense to the total.
 * Damage dealt by enemies is doubled in Expert mode and tripled in Master Mode compared to normal mode. This means that despite the increase in damage reduction from defense in those modes, defense is still generally less effective than in normal mode.
 * If the player somehow has negative defense, they will take more damage according to the damage taken added with half / / amount the defense.

Abwehr Défense 防御力