Sanctum of Thought: Difference between revisions
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==Version history== | ==Version history== | ||
{{ | {{Version history table header}} | ||
{{ | {{Version history table row|3.7.0}} | ||
* Added {{sic}} the following new notables and associated small passive skills to the passive skill tree: [...], '''Sanctum of Thought''' [...] and others | * Added {{sic}} the following new notables and associated small passive skills to the passive skill tree: [...], '''Sanctum of Thought''' [...] and others | ||
* (Undocumented) Renamed to Sanctum of Thought from Indomitable | * (Undocumented) Renamed to Sanctum of Thought from Indomitable | ||
* (Undocumented) Now has the mod {{c|mod|20% reduced Effect of Curses on you}} | * (Undocumented) Now has the mod {{c|mod|20% reduced Effect of Curses on you}} | ||
{{ | {{Version history table row|2.2.0}} | ||
* (Undocumented) Renamed from "Unyielding" to "Indomitable". In the same patch [[Unyielding]] as a keystone is introduced. | * (Undocumented) Renamed from "Unyielding" to "Indomitable". In the same patch [[Unyielding]] as a keystone is introduced. | ||
{{ | {{Version history table row|1.3.0}} | ||
* Added to the passive skill tree. | * Added to the passive skill tree. | ||
|} | |} | ||
Revision as of 18:37, 19 October 2020
18% increased Armour
12% increased maximum Energy Shield [1]
Sanctum of Thought is a notable passive skill that reduces the effect of critical strikes on you. It also grants increased armour and reducing the effect of curses on you.
Mechanics
The bonus granted by this passive skill causes the character to take reduced extra damage from critical strikes. This is a modifier on the percentage of damage over 100% that an enemy inflicts with a critical strike on the character.[1]
Let m be the enemy's critical strike multiplier and let R be the sum of the r's in You take r% reduced Extra Damage from Critical Strikes modifiers being applied to the character. The enemy's effective critical strike multiplier E is given by
E = 100 + (m - 100) * (1 - R/100)
If m = 150% and R = 20%, then
E = 100 + (150 - 100) * (1 - 20/100) = 140%
The enemy's effective critical strike multiplier is 140%, thus the extra critical strike damage is reduced by 20%, but the total damage of the critical strike has only been reduced by 6.67%.
Since the default multiplier for monsters is 130%,[2] for most monsters each 20% reduction would reduce the multiplier by 6% (20% of 30), which is 4.6% of total damage.
Interactions
The You take 20% reduced Extra Damage from Critical Strikes modifier on Sanctum of Thought stacks with the You take 30% reduced Extra Damage from Critical Strikes modifier on 
Belt of the DeceiverBelt of the Deceiver
Heavy BeltRequires Level 20+(25-35) to Strength(15-25)% increased Global Physical Damage
You take 30% reduced Extra Damage from Critical Strikes
+(30-40) to maximum Life
+(10-15)% to all Elemental Resistances
Nearby Enemies are IntimidatedIn battle, virtue matters not.
Only victory.
.
The unique modifier Take no Extra Damage from Critical Strikes on 
The Brass DomeThe Brass Dome
Gladiator PlateArmour: (3321-4240)
Movement Speed: -5%Requires Level 65, 177 Str(350-400)% increased Armour
+(1-5)% to all maximum Elemental Resistances
Strength provides no bonus to Maximum Life
Take no Extra Damage from Critical StrikesThe turtle's shell one day becomes its tomb.
renders Sanctum of Thought redundant.
Version history
| Version | Changes |
|---|---|
| 3.7.0 |
|
| 2.2.0 |
|
| 1.3.0 |
|
References
- ↑ Mark_GGG (April 5, 2013). "Enemy Critical Strike Multiplier Reduction". Official Path of Exile Forums. Retrieved October 28, 2014.
- ↑ Mark_GGG (April 5, 2013). "Enemy Critical Strike Multiplier Reduction". Official Path of Exile Forums. Retrieved March 20, 2016.