Armor

“

<ab>Ratt attack 10.mp3</ab> Armored to the teeth!

— Clockwerk

”

Armor is a stat that reduces (or increases, if negative) physical damage a unit takes from abilities and attacks. Every unit is capable of gaining or losing armor, and most units start with a small amount of base armor, some even starting with negative armor. A hero's armor can be passively increased with agility via leveling up, certain items, talents and some abilities. Armor of any unit can also be temporarily increased or reduced with some abilities.

Each point of agility increases a hero's armor by 0.167 or <math>\tfrac{1}{6}</math>.

Total armor can be defined as
- Main Armor
  - × % Armor Negation Multiplier
- ± Flat Bonus Armor Values

Base Armor

Base armor is the part of the main armor that never changes throughout a game. It consists of one fixed value set for each unit individually. The base armor of a unit can be a negative number. Since only heroes have agility, the HUD of all non-hero units shows their base armor.

Heroes

Creeps

Summons

Main Armor

Main armor is the armor value shown in white numbers near the shield icon in the HUD, consisting of base armor and the armor granted by a hero's agility. The only way to improve a hero's main armor is to increase its agility, which is gained by leveling up, acquiring certain items, or with the help of certain abilities.

Attribute	Bonus Main Armor
Agility	+0.167

The main armor is defined as

Main Armor = (Base Armor + (Σ Current)/6) × (1 - Armor Negation)

	Base	Level 1	Level 15	Level 25	Level 30
Pangolier	2	5	11.53	16.2	18.53
Dark Willow	0	3	6.03	8.2	9.28
Sven	-1	2.5	7.63	11.3	13.13
Mars	-1	2.33	6.3	9.13	10.55
Grimstroke	0	3	7.43	10.6	12.18
Earthshaker	2	4	7.27	9.6	10.77
Snapfire	1	3.67	6.47	8.47	9.47
Void Spirit	-1	2.17	7.3	10.97	12.8
Hoodwink	0	4	12.4	18.4	21.4
Dawnbreaker	2	4.33	8.3	11.13	12.55
Timbersaw	0	2.67	6.4	9.07	10.4
Legion Commander	0	3	6.97	9.8	11.22
Ember Spirit	0	3.67	11.13	16.47	19.13
Skywrath Mage	-2	0.17	2.03	3.37	4.03
Marci	0	3.33	7.53	10.53	12.03
Axe	-1	2.33	6.3	9.13	10.55
Primal Beast	2	4.5	6.83	8.5	9.33
Muerta	-1	2.33	8.63	13.13	15.38
Doom	2	4.5	8	10.5	11.75
Vengeful Spirit	0	3.5	8.4	11.9	13.65
Tiny	0	0	0	0	0
Ancient Apparition	-1	2.33	7.47	11.13	12.97
Pugna	0	3.5	6.53	8.7	9.78
Lich	-1	1.83	6.5	9.83	11.5
Tidehunter	0	2.5	6	8.5	9.75
Shadow Fiend	1	5.17	13.33	19.17	22.08
Clockwerk	1	3.17	8.07	11.57	13.32
Lion	0	2.5	6.47	9.3	10.72
Weaver	1	3.83	11.53	17.03	19.78
Razor	0	4	10.53	15.2	17.53
Viper	-2	1.5	7.8	12.3	14.55
Spectre	0	4.17	9.07	12.57	14.32
Leshrac	1	3.83	9.67	13.83	15.92
Slardar	3	5.83	11.43	15.43	17.43
Windranger	0	3.17	6.43	8.77	9.93
Mirana	-2	2	7.83	12	14.08
Chen	-1	1.5	6.4	9.9	11.65
Nature's Prophet	0	2.33	9.8	15.13	17.8
Venomancer	0	4	8.67	12	13.67
Storm Spirit	1	4.67	10.73	15.07	17.23
Puck	0	2.33	8.17	12.33	14.42
Beastmaster	-1	2.67	6.4	9.07	10.4
Sand King	1	4.17	8.37	11.37	12.87
Night Stalker	2	5	10.13	13.8	15.63
Necrophos	2	4	7.03	9.2	10.28
Faceless Void	0	3.17	10.87	16.37	19.12
Tinker	4	6.83	10.1	12.43	13.6
Arc Warden	0	3.33	10.33	15.33	17.83
Winter Wyvern	1	3.67	7.17	9.67	10.92
Spirit Breaker	1	3.83	7.8	10.63	12.05
Bloodseeker	2	6	13.23	18.4	20.98
Underlord	3	5	8.73	11.4	12.73
Dark Seer	2	5.17	9.37	12.37	13.87
Enchantress	1	4.17	9.07	12.57	14.32
Pudge	0	1.83	5.1	7.43	8.6
Sniper	-1	3.5	10.97	16.3	18.97
Enigma	1	3.33	5.67	7.33	8.17
Earth Spirit	0	2.83	8.43	12.43	14.43
Oracle	1	3.5	7.47	10.3	11.72
Shadow Shaman	3	5.67	9.4	12.07	13.4
Crystal Maiden	0	2.67	6.4	9.07	10.4
Anti-Mage	1	5	11.53	16.2	18.53
Dazzle	0	3.33	6.6	8.93	10.1
Witch Doctor	0	2.17	5.43	7.77	8.93
Lina	0	3.83	9.43	13.43	15.43
Wraith King	-1	1.67	5.63	8.47	9.88
Zeus	2	3.83	6.63	8.63	9.63
Dragon Knight	0	2.67	7.33	10.67	12.33
Undying	1	2.67	5.47	7.47	8.47
Morphling	-2	2	11.1	17.6	20.85
Centaur Warrunner	-2	0.5	2.83	4.5	5.33
Brewmaster	0	3.17	7.83	11.17	12.83
Nyx Assassin	1	4	9.37	13.2	15.12
Io	1	3.33	7.07	9.73	11.07
Slark	0	3.5	7	9.5	10.75
Techies	2	4.33	7.37	9.53	10.62
Meepo	4	6.83	11.73	15.23	16.98
Elder Titan	0	2.67	6.87	9.87	11.37
Treant Protector	-1	1.5	5.7	8.7	10.2
Bristleback	1	3.83	8.03	11.03	12.53
Phoenix	-1	1	4.5	7	8.25
Tusk	1	4.83	9.73	13.23	14.98
Chaos Knight	2	5	8.27	10.6	11.77
Abaddon	0	3.83	6.87	9.03	10.12
Lycan	0	3	7.2	10.2	11.7
Magnus	1	2.5	7.17	10.5	12.17
Lone Druid	0	3.33	8	11.33	13
Naga Siren	1	4.5	12.2	17.7	20.45
Troll Warlord	-1	2.83	10.53	16.03	18.78
Medusa	-1	2.67	11.07	17.07	20.07
Terrorblade	5	8.67	18	24.67	28
Keeper of the Light	0	2.5	6.23	8.9	10.23
Rubick	1	4.83	10.67	14.83	16.92
Ogre Magi	4	6.33	9.83	12.33	13.58
Disruptor	0	2.5	5.77	8.1	9.27
Visage	0	1.83	4.17	5.83	6.67
Shadow Demon	0	3	8.13	11.8	13.63
Outworld Destroyer	1	4.67	8.4	11.07	12.4
Drow Ranger	0	3.33	10.1	14.93	17.35
Kunkka	2	4.33	8.07	10.73	12.07
Ursa	1	4	10.53	15.2	17.53
Huskar	0	1.67	5.17	7.67	8.92
Templar Assassin	0	3.83	11.3	16.63	19.3
Phantom Assassin	1	4.5	11.97	17.3	19.97
Riki	0	5	10.6	14.6	16.6
Juggernaut	0	5.67	12.2	16.87	19.2
Bane	1	4.83	11.13	15.63	17.88
Warlock	1	2.67	5	6.67	7.5
Broodmother	-1	2	8.07	12.4	14.57
Jakiro	1	3.5	6.3	8.3	9.3
Death Prophet	1	3.67	8.33	11.67	13.33
Lifestealer	1	4.17	8.6	11.77	13.35
Clinkz	0	4.17	10.47	14.97	17.22
Queen of Pain	0	3.67	9.5	13.67	15.75
Gyrocopter	2	6.33	13.57	18.73	21.32
Batrider	2	4.5	7.77	10.1	11.27
Bounty Hunter	5	8.5	14.57	18.9	21.07
Omniknight	2	4.5	9.17	12.5	14.17
Silencer	0	3.67	9.27	13.27	15.27
Monkey King	2	6	14.63	20.8	23.88
Invoker	-1	1.33	5.53	8.53	10.03
Phantom Lancer	0	4.33	10.87	15.53	17.87
Luna	2	6	13.93	19.6	22.43
Alchemist	0	3.67	7.17	9.67	10.92

Main Armor Sources

These abilities directly manipulate agility points and therefore it affects main armor instead.

Sources affecting Main Armor

Attributes – Attribute Bonus
Alchemist – Aghanim's Scepter Synth
Apex – Primary Attribute Bonus
Drow Ranger – Precision Aura
Magnus – Reverse Polarity¹
Morphling – Adaptive Strike (Agility)
Riki – Tricks of the Trade
Slark – Essence Shift
Power Treads – Switch Attribute
Phantom Lancer – Phantom Rush
Morphling – Morph^2a
Vambrace – Switch Attribute
Morphling – Attribute Shift (Strength Gain)
Timbersaw – Whirling Death¹

¹ Only affects

agility heroes.

Armor Negating Sources

Some abilities negate or ignore a unit's main armor by reducing or increasing armor based on the unit's main armor, effectively removing a percentage of the armor on the target. Armor negation only affects the armor value of units, their defense class is unaffected and still reduces damage normally.

Armor Negating Sources

Drow_Ranger - Marksmanship

Proc Chance:
Main Armor Reduction: 100%
Has a chance to completely ignore the target's main armor value on attack, dealing damage as if they had 0 main armor.
Elder_Titan - Natural Order

Base Armor Reduction: 40%/60%/80%/100%
The effects is provided by an aura, affects nearby enemies. The reduction is based on the enemies' main armor. The debuff lingers for second.

Example

How much main armor

Terrorblade with a

Blade of Alacrity at Level 8 has?

Base Armor: 5

Base

Agility and agility gain: 22 and 4 per level

Blade of Alacrity bonus agility: 10

<math>\begin{align}

\text{Main Armor} &= 5 + \overbrace{\frac{ 10 + 22 + 4 \times 7}{6} }^\text{Agility} \\ &= 15 \end{align} </math>

Terrorblade has a total of 15 main armor in this example.

Bonus Armor

Bonus armor is the armor value shown in green numbers with a plus on the left, right after the white armor number on a unit's statistics. Whenever an armor granting item or armor increasing ability shows a +Value Armor, e.g. Blade Mail +7 Armor, it increases the bonus armor of the affected unit.

Probably the most important difference between main and bonus armor is that illusions only benefit from main armor, although their HUD still shows the bonus armor just like on other heroes, to make them less obvious to the enemy.

Sources of multiple bonus armor stack additively.

Armor Negation sources do not affect bonus armor.

Example1

How much total armor does a

Terrorblade with a

Blade of Alacrity and

Blade Mail at Level 8 have?

Base Armor: 5

Base

Agility and gain: 22 + 4

Blade of Alacrity bonus agility: 10

Blade Mail bonus armor: 7

<math>\begin{align}

\text{Armor} &= \underbrace{ 5 + \overbrace{\frac{ 10 + 22 + 4 \times 7}{6} }^\text{Agility} }_\text{Main Armor} + 7 \\ &= 15 + 7 \\ &= 22 \end{align} </math>

Terrorblade has 22 total armor in this example.

Example 2

Terrorblade from the previous example is now affected by Level 3

Natural Order. How much total armor does he have now?

Level 3

Natural Order Armor Negation: 80%

<math>\begin{align}

\text{Armor} &= \underbrace{ \left( 5 + \overbrace{\frac{ 10 + 22 + 4 \times 7}{6} }^\text{Agility} \right) \times \overbrace{ (1 - 0.8) }^\text{Main Armor Negation} }_\text{Main Armor} + 7 \\ &= \underbrace{ 15 \times (0.2) }_\text{Main Armor} + 7 \\ &= 10 \end{align} </math>

Terrorblade has 10 total armor in this example.

Modifying Armor

A lot of abilities and items have abilities that grant or reduce armor.

These changes only affect bonus armor. Reductions can nevertheless bring total armor into negative values if main armor is sufficiently small.

Armor Increasing Sources

Ancient Black Dragon – Dragonhide Aura
Axe – Berserker's Call
Axe – Battle Hunger^2a
Axe – Culling Blade
Chen – Divine Favor
Crystal Maiden – Freezing Field
Dazzle – Bad Juju
Dragon Knight – Dragon Blood
Elder Titan – Astral Spirit
Enchantress – Enchant³
Legion Commander – Overwhelming Odds^2b
Lone Druid – Spirit Link
Lone Druid – True Form
Monkey King – Wukong's Command
Ogre Frostmage – Ice Armor
Oracle – False Promise¹
Primal Beast – Uproar
Roshan – Strength of the Immortal
Skywrath Mage – Shield of the Scion
Slardar – Guardian Sprint^2a
Sven – Warcry
Timbersaw – Reactive Armor
Tiny – Grow
Treant Protector – Living Armor
Buildings – Tower Protection
Troll Warlord – Berserker's Rage
Visage – Gravekeeper's Cloak^{1 4}
File:Toughness Aura (Wildwing Ripper) icon.png Wildwing Ripper – Toughness Aura

¹ Requires

talent.

^2a Requires

Aghanim's Scepter.

^2b Requires

Aghanim's Shard.

³ Affects the player-controlled creep.

Armor Increasing Item Sources

¹ Affects the player-controlled creep.

Talents

Armor

Ability
Passive

Affects
Self

There is no description for this ability.

Armor Bonus: Varies

NOTES

6110, 5930, 5931, 5932, 5933, 5970, 5934, 6136, 6004, 6286, 6175, 6503, 6645

special_bonus_armor_2/3/4/5/6/7/8/9/10/12/15/20/30

Grants a flat armor bonus.

The following values exist:
- 2/3/4/5/6/7/8/9/10/12/15/20/30

The following heroes have a talent that grants them bonus armor.

Bonus	Level 10		Level 15		Level 20		Level 25
Bonus	Left	Right	Left	Right	Left	Right	Left	Right
Armor	+4 +4	+5

Besides these, the following heroes have talents which increase the armor of the units they summon

Specific Summons Armor Bonus Talent

Lone Druid - Talent by Level 15 Left
+7 Spirit Bear Armor:
Bonus armor.
Warlock - Talent by Level 25 Right
+20 Chaotic Offering Golems Armor:
Bonus armor.

Items

The following items increase a unit's armor. The effects are limited to the item's owner, which must have the item equipped.

Items that provide armor bonus by flat amount and Agility:

Flat-Rate & Agility Armor

Item	Value	Item Cost	Cost/Value Point
Defiant Shell	0	N/A	N/A
Helm of the Dominator	0	2625	Division by zero.
Helm of the Overlord	0	5725	Division by zero.
Shiva's Guard	0	5175	Division by zero.
Solar Crest	0	2600	Division by zero.
Veil of Discord	0	1725	Division by zero.
Wraith Band 1	0	505	Division by zero.
Wraith Band 2	0	505	Division by zero.
Values do not include portions from actives or auras.

These items have a flat armor bonus to the hero who has them equipped.

Flat-Rate Armor

Item	Value	Item Cost	Cost/Value Point
Arcane Ring	0	N/A	N/A
Arcanist's Armor	0	N/A	N/A
Armlet of Mordiggian	0	2500	Division by zero.
Assault Cuirass	0	5125	Division by zero.
Blade Mail	0	2300	Division by zero.
Broom Handle	0	N/A	N/A
Buckler	0	425	Division by zero.
Chainmail	0	550	Division by zero.
Cloak of Flames	0	N/A	N/A
Craggy Coat	0	N/A	N/A
Crimson Guard	0	3725	Division by zero.
Dragon Scale	0	N/A	N/A
Guardian Greaves	0	4950	Division by zero.
Helm of Iron Will	0	975	Division by zero.
Lotus Orb	0	3850	Division by zero.
Mekansm	0	1775	Division by zero.
Nullifier	0	4375	Division by zero.
Orb of Corrosion	0	875	Division by zero.
Parasma	0	5975	Division by zero.
Pavise	0	1400	Division by zero.
Phase Boots	0	1500	Division by zero.
Platemail	0	1400	Division by zero.
Rattlecage	0	N/A	N/A
Ring of Protection	0	175	Division by zero.
Soul Ring	0	805	Division by zero.
Urn of Shadows	0	880	Division by zero.
Vladmir's Offering	0	2200	Division by zero.
Witch Blade	0	2775	Division by zero.
Values do not include portions from actives or auras.

These items increase the hero's armor through the agility they provide.

Agility Armor

Item	Value	Item Cost	Cost/Value Point
Aghanim's Scepter	0	4200	Division by zero.
Band of Elvenskin	0	450	Division by zero.
Blade of Alacrity	0	1000	Division by zero.
Book of Shadows	0	N/A	N/A
Bracer 1	0	505	Division by zero.
Bracer 2	0	505	Division by zero.
Butterfly	0	5450	Division by zero.
Circlet	0	155	Division by zero.
Crown	0	450	Division by zero.
Diadem	0	1000	Division by zero.
Diffusal Blade	0	2500	Division by zero.
Disperser	0	6100	Division by zero.
Dragon Lance	0	1900	Division by zero.
Eaglesong	0	2800	Division by zero.
Ethereal Blade	0	5375	Division by zero.
Eye of Skadi	0	5300	Division by zero.
Ghost Scepter	0	1500	Division by zero.
Harpoon	0	4700	Division by zero.
Holy Locket	0	2250	Division by zero.
Hurricane Pike	0	4450	Division by zero.
Iron Branch	0	50	Division by zero.
Khanda	0	5000	Division by zero.
Linken's Sphere	0	4800	Division by zero.
Magic Wand	0	450	Division by zero.
Manta Style	0	4650	Division by zero.
Meteor Hammer	0	2850	Division by zero.
Mirror Shield	0	N/A	N/A
Ninja Gear	0	N/A	N/A
Null Talisman 1	0	505	Division by zero.
Null Talisman 2	0	505	Division by zero.
Occult Bracelet	0	N/A	N/A
Phylactery	0	2600	Division by zero.
Pig Pole	0	N/A	N/A
Power Treads (Agility)	0	1400	Division by zero.
Sange and Yasha	0	4100	Division by zero.
Slippers of Agility	0	140	Division by zero.
Specialist's Array	0	N/A	N/A
Swift Blink	0	6800	Division by zero.
Ultimate Orb	0	2800	Division by zero.
Vambrace (Agility)	0	N/A	N/A
Vambrace (Intelligence)	0	N/A	N/A
Vambrace (Strength)	0	N/A	N/A
Yasha	0	2100	Division by zero.
Yasha and Kaya	0	4200	Division by zero.
Values do not include portions from actives or auras.

Armor Reducing Sources

Alchemist – Acid Spray
File:Weakening Aura (Ancient Rock Golem) icon.png Ancient Rock Golem – Weakening Aura
Axe – Battle Hunger^2a
Bristleback – Viscous Nasal Goo
Bristleback – Hairball
Chaos Knight – Reality Rift
Dazzle – Bad Juju
Forged Spirit – Melting Strike
Lycan – Howl
Naga Siren – Rip Tide
Pangolier – Lucky Shot
Razor – Eye of the Storm
Shadow Fiend – Presence of the Dark Lord
Slardar – Slithereen Crush^2b
Slardar – Corrosive Haze
Slark – Essence Shift
Snapfire – Lil' Shredder
Templar Assassin – Meld
Tidehunter – Gush
Vengeful Spirit – Wave of Terror
Viper – Poison Attack^2b
Weaver – The Swarm

¹ Requires

talent.

^2a Requires

Aghanim's Scepter.

^2b Requires

Aghanim's Shard.

Armor Reducing Item Sources

Blight Stone – Lesser Corruption
Desolator – Corruption
Orb of Corrosion – Corrosion
Orb of Destruction – Impeding Corruption
Stygian Desolator – Greater Corruption

Armor Corruption

Ability

Passive

Affects

Enemies

Granted by learning a

talent. Attacks now reduce the affected target's armor by a certain amount.

Armor Reduction: Varies

Duration: 10

The following heroes have a talent that grants them Armor Corruption.

Bonus	Level 10		Level 15		Level 20		Level 25
Bonus	Left	Right	Left	Right	Left	Right	Left	Right
Armor Corruption					-4

Pure Damage

Main Articles: Damage Types and HP Removal

Pure Damage is a damage type that is not reduced by Armor or Magic Resistance. It is also not amplified by magical damage amplification abilities, fully ignores Armor and Damage Block. It does not affect invulnerable units.

There are a few sources that can manipulate Pure Damage, with Dispersion being one of them. This mechanic is called damage reduction. Pure damage affects units with Spell Immunity (because spell immunity does not block damage), but that does not mean that an ability that deals pure damage is able to target spell immune units.

Abilities Based on Armor

Armor Based Ability Effects

Axe - Battle Hunger

Armor as Damage per Second: 90° ( )
Non-Hero Armor Multiplier: 12
Deals damage based on the hero's armor.

Damage Multiplier

All units, including buildings, have an inherent base armor value and attack class. Any physical damage dealt to a unit is multiplied by the damage multiplier, resulting in either damage reduction or increase depending on the target's armor value.

Damage Multiplier is also used to calculate a unit's Effective HP (EHP). The lower the damage multiplier, the higher the Effective HP of a unit, vice versa.

Armor Formula Base `b`	Armor Formula Factor `f`
1	0.06

For any real-valued armor, the damage multiplier is defined as

<math>\begin{align}

D_{Mu} &= 1 - \displaystyle\frac{ f \times R }{ b + f \times \vert R \vert} \quad \& \quad 0 \leq D_{Mu} \leq 2 \\ \\ &= 1 - \displaystyle\frac{ 0.06 \times R }{ 1 + 0.06 \times \vert R \vert} \end{align} </math>

With D_Mu being the Damage Multiplier and R the armor value.

The damage multiplier limits are 0 and 2, for infinitely positive and negative armor, respectively. Expand the table below for more detailed information on how much positive and negative armor affects damage multiplier.

Examples

Armor (+)	Multiplier	Armor (-)	Multiplier
1	94%	-1	106%
2	89%	-2	111%
3	85%	-3	115%
4	81%	-4	119%
5	77%	-5	123%
6	74%	-6	126%
7	70%	-7	130%
8	68%	-8	132%
9	65%	-9	135%
10	63%	-10	138%
11	60%	-11	140%
12	58%	-12	142%
13	56%	-13	144%
14	54%	-14	146%
15	53%	-15	147%
16	51%	-16	149%
17	50%	-17	150%
18	48%	-18	152%
19	47%	-19	153%
20	45%	-20	155%
21	44%	-21	156%
22	43%	-22	157%
23	42%	-23	158%
24	41%	-24	159%
25	40%	-25	160%
26	39%	-26	161%
27	38%	-27	162%
28	37%	-28	163%
29	36%	-29	164%
30	36%	-30	164%
31	35%	-31	165%
32	34%	-32	166%
33	34%	-33	166%
34	33%	-34	167%
35	32%	-35	168%
36	32%	-36	168%
37	31%	-37	169%
38	30%	-38	170%
39	30%	-39	170%
40	29%	-40	171%
41	29%	-41	171%
42	28%	-42	172%
43	28%	-43	172%
44	27%	-44	173%
45	27%	-45	173%

Effective HP

Relationships between Effective HP%, damage multiplier and armor

The total amount of physical damage a unit can take due to the armor it has is known as Effective HP (or EHP). 16.66 armor adds 100% to EHP. This means a unit with 1000 health and 16.66 armor can take 2000 physical damage. The formula adds 6% EHP per point of armor regardless of the previous armor value.

EHP value has no diminished benefit as a player gaining 1 armor from 0 armor would increase EHP from 100% to 106%, while a player gaining 1 armor from 50 armor would increase EHP from 400% to 406%. This means each point of armor effects your HP and your survivability in the exact same way. On the other hand, the effectiveness of armor is much lower at negative values (refer to the attached graph). Total EHP trends downwards towards 50%, meaning a unit with 1000 health and infinitely low armor would still be able to take 500 physical damage. At this point, losing or gaining 1 armor has essentially no effect.

Armor	-40	-30	-20	-10	0	10	20	30	40
Effective HP	586.21	608.7	647.06	727.27	1000	1600	2200	2800	3400

This definition of EHP assumes all damage taken is physical. EHP against magical damage (such as Laguna Blade or Finger of Death) is modified by magic resistance.

Effective HP against physical damage is defined as

<math>

E_{HP} = \displaystyle\frac{ C_{HP} }{ D_{Mu} } </math>

With C_HP being the Current Health and D_Mu the Damage Multiplier.

Example 1

A Level 25

Sven has a total health of 2381.6 and 11.3 points of armor without any items. What is his effective HP against physical damage?

<math>\begin{align}

D_{Mu} &= 1 - \frac{0.06 \times 11.3}{1 + 0.06 \times \vert 11.3 \vert} \\ \\ &= 0.595948 \end{align} </math>

Sven's damage multiplier is 0.595948 in this example.

<math>\begin{align}

E_{HP} &= {2381.6 \over 0.595948} \\ \\ &= 3996.32 \end{align} </math>

Sven's effective HP against physical damage in this example is 3996.32.

Example 2

The same Level 25

Sven from the previous example (has a total health of 2381.6) is affected by a Level 3

Corrosive Haze, and his armor is now Expression error: Missing operand for -.. What is his effective HP against physical damage?

<math>\begin{align}

D_{Mu} &= 1 - \frac{0.06 \times (Expression error: Missing operand for -.)}{1 + 0.06 \times \vert Expression error: Unexpected < operator. \vert} \\ \\ &= Expression error: Unexpected < operator. \end{align} </math>

Sven's damage multiplier is Expression error: Unexpected < operator. in this example.

<math>\begin{align}

E_{HP} &= {2381.6 \over Expression error: Unexpected < operator.} \\ \\ &= Expression error: Unexpected < operator. \end{align} </math>

Sven's effective HP against physical damage in this example is Expression error: Unexpected < operator..

Recent Changes

Main Article: Armor/Changelogs

Version

Description

7.32e
(2023-03-07)

Reinforced units receive 10% less damage from the following units:
- Summons, but not including creep-heroes and illusions.
- Dominated Creeps.

7.31
(2022-02-23)

Attack Types and Armor Types are now represented through abilities, most damage remains unchanged.
ADDED the new following attack type abilities:
- Runty has 25% and 30% attack damage reduction against Heroes and Reinforced units respectively.
- Piercing has 50% and 65% attack damage reduction against Heroes and Reinforced units respectively.
  - However, they deal 50% more attack damage against Non-Hero units.
- Reinforced has 50%, 30% and 65% incoming attack damage reduction against Heroes, Non-Hero units, and Piercing units respectively.
  - However, they deal 50% more attack damage against other Reinforced units.
The following abilities are not acquirable in any way (e.g. Devour etc.).
The following units now have the Piercing ability:
- File:Ranged Creep Radiant icon.png Ranged Creep and File:Ranged Creep Radiant icon.png Mega Ranged Creep
- Serpent Ward
- Plague Ward
- Most neutral creeps' with the previous Piercing attack class now has this ability as well.
The following units now have the Reinforced ability:
- File:Siege Creep Radiant icon.png Siege Creep
- All buildings
The following units now have the Runty ability:
- File:Melee Creep Radiant icon.png Melee Creep and File:Melee Creep Radiant icon.png Mega Melee Creep
Eidolon , Treant and Lycan Wolf no longer have the Basic attack class.
Neutral creeps now all have the standard attack type, and their damage are adjusted so that the net damage is similar.