Doryani's Institute: Difference between revisions

Latest revision as of 12:03, 10 October 2023

Id	GemRoomIII
Tier	3
Architect	Zalatl, Architect of Thaumaturgy

Contains chests full of gems and a device that can corrupt gems in a special way.

The enlightened fall victim to Doryani's dark dictum.

Zalatl, Architect of Thaumaturgy
I. Gemcutter's Workshop	II. Department of Thaumaturgy	III. Doryani's Institute

Doryani's Institute is the tier 3 incursion room of Zalatl, Architect of Thaumaturgy.

The room contains a device called Lapidary Lens that "double corrupts" a skill or a support gem. The room also contains Thaumaturgy Vessels containing gems and Gemcutter's PrismGemcutter's PrismStack Size: 20Improves the quality of a gemRight click this item then left click a gem to apply it. The maximum quality is 20%.s.

The Lapidary Lens, when used, functions as if two Vaal OrbVaal OrbStack Size: 20Corrupts an item, modifying it unpredictablyRight click this item then left click an item to corrupt it. Corrupted items cannot be modified again.s were applied at once, which can potentially result in an increase/decrease in gem level or quality or transform it into a Vaal version if possible. It is possible for a gem to have no changes at all.^[1]

It is capable of creating, and the only way (other than divination cards) to acquire gems that are two of the following:

Level 21 (or otherwise 1 level higher than its normal maximum level for Awakened Support Gems/irregular gems)
(21-23)% Quality
Vaal version

Mechanics

The Lapidary Lens selects the first outcome (1/4):

No change
Change into Vaal version ^{no change if no Vaal version}
Change in level
- (1/2) +1 Level ^{maximum 21}
- (1/2) -1 Level ^{minimum 1}
Change in quality
- (10/21) +(1-10) quality ^{maximum 23}
- (1/21) +0 quality
- (10/21) -(1-10) quality ^{minimum 0}

Outcomes that exceed the minimum/maximum will be capped in change but does not affect the overall outcome chance.

For the second outcome, the change from the first outcome is discarded and selected between the remaining 3 options (1/3).

This results in the following (desirable) outcomes, as opposed to a Vaal OrbVaal OrbStack Size: 20Corrupts an item, modifying it unpredictablyRight click this item then left click an item to corrupt it. Corrupted items cannot be modified again., assuming a 20/20 gem is used:

Corruption outcomes (no Vaal version)
Level	Quality	Lapidary Lens	Vaal Orb
21	23%	3.17% (1/4)(1/2)(1/3)(8/21) + (1/4)(8/21)(1/3)(1/2)	N/A
21	≥20%	21.0% (1/4)(1/2)((1/3)(11/21)+(2/3)) + (1/4)(11/21)(1/3)(1/2) + (2/4)*(1/3)(1/2)	12.5% (1/4)(1/2)
21	any	25% (1/4)(1/2) + (3/4)*(1/3)(1/2)	12.5% (1/4)(1/2)
any	23%	19.0% (1/4)(8/21) + (3/4)*(1/3)(8/21)	9.5% (1/4)(8/21)
any	≥20%	76.2% (1/4)(11/21) + (3/4)*((1/3)(11/21)+(2/3))	88.1% (1/4)(11/21)+(3/4)

Corruption outcomes (Vaal version)
Vaal version	Level	Quality	Lapidary Lens	Vaal Orb
No	21	23%	3.17% (1/4)(1/2)(1/3)(8/21) + (1/4)(8/21)(1/3)(1/2)	N/A
No	21	≥20%	12.7% (1/4)(1/2)((1/3)(11/21)+(1/3)) + (1/4)(11/21)(1/3)(1/2) + (1/4)*(1/3)(1/2)	12.5% (1/4)(1/2)
No	21	any	16.7% (1/4)(1/2)(2/3) + (2/4)(1/3)(1/2)	12.5% (1/4)(1/2)
Yes	21	20%	8.3% (1/4)(1/2)(1/3) + (1/4)(1/3)(1/2)	N/A
Yes	20	23%	6.3% (1/4)(8/21)(1/3) + (1/4)(1/3)(8/21)	N/A
No	any	23%	12.7% (1/4)(8/21)(2/3) + (2/4)(1/3)(8/21)	9.5% (1/4)(8/21)
Yes	any	≥20%	42.1% (2/4)(1/3) + (1/4)(11/21)(1/3) + (1/4)*((1/3)(11/21)+(2/3))	25% (1/4)

If the player does not care about gem level 21, a -1 to level is not necessarily a bad outcome as the gem can still be re-levelled back to 20. Loss of quality and an undesirable vaal/no vaal change are the only "real" brick outcomes.

Lore

The room is named after Doryani, who was known for his thaumaturgy with virtue gems.

Version history

Version	Changes
3.5.0	Introduced to the game as core mechanics.
3.3.0	Introduced to the game as league mechanics.

References

↑ https://www.youtube.com/watch?v=DwX1DjW3gbY

ru:Аудитория Дориани

[1] ttps://www.youtube.com/watch?v=DwX1DjW3gbY

[1]

@@ Line 6: / Line 6: @@
 |tier                    = 3
 |icon                    = GemRoom3
+|modifier_ids            =
 |architect_metadata_id   = Metadata/Monsters/VaalArchitect/VaalArchitect14
 |architect_name          = Zalatl, Architect of Thaumaturgy
@@ Line 14: / Line 15: @@
 '''Doryani's Institute''' is the tier 3 [[incursion room]] of [[Zalatl, Architect of Thaumaturgy]].
-The room contains a device called [[Lapidary Lens]] that "double corrupts" a skill or a support gem. The room also contains [[Thaumaturgy Vessel]]s.
+The room contains a device called [[Lapidary Lens]] that "double corrupts" a skill or a support gem. The room also contains [[Thaumaturgy Vessel]]s containing gems and {{il|Gemcutter's Prism}}s.
-The chance for a Lapidary Lens to increase a gem's level by 1, without losing quality, is 20.83%, compared to the 12.5% with a {{il|Vaal Orb}}.
+The Lapidary Lens, when used, functions as if two {{il|Vaal Orb}}s were applied at once, which can potentially result in an increase/decrease in gem level or quality or transform it into a [[Vaal Skill Gem|Vaal version]] if possible. It is possible for a gem to have no changes at all.<ref>https://www.youtube.com/watch?v=DwX1DjW3gbY</ref>
-/4 * 1/2 * (2/3+ 1/6) + 5/8 * 1/3 * 1/2 = 5/48 + 5/48 = 20.83%.
+It is capable of creating, and the only way (other than [[divination cards]]) to acquire gems that are '''two''' of the following:
- Respectively: odds of hitting level change on first corruption * The odds of it being +1 level change * (the odds of hitting non-quality change on the second corruption + the odds of hitting positive quality change) + the odds of hitting non-level change or a positive quality change on the first corruption * the odds of hitting level change on the second corruption * the odds of it being +1 level change
+* {{c|gem|Level 21}} (or otherwise 1 level higher than its normal maximum level for [[Awakened Support Gem]]s/irregular gems)
+* {{c|gem|(21-23)% Quality}}
+* {{c|corrupted|[[Vaal Skill Gem|Vaal version]]}}
-Noteworthy combination chances:
+==Mechanics==
+The Lapidary Lens selects the first outcome (1/4):
+* No change
+* Change into Vaal version <sup>no change if no Vaal version</sup>
+* Change in level
+**(1/2) +1 Level <sup>maximum 21</sup>
+**(1/2) -1 Level <sup>minimum 1</sup>
+* Change in quality
+**(10/21) +(1-10) quality  <sup>maximum 23</sup>
+**(1/21) +0 quality
+**(10/21) -(1-10) quality <sup>minimum 0</sup>
-+1 Level and + Quality = 4.167% (3.75% for 23% quality)
+Outcomes that exceed the minimum/maximum will be capped in change but does not affect the overall outcome chance.
-+1 Level and - Quality = 4.167%
+For the second outcome, the change from the first outcome is discarded and selected between the remaining 3 options (1/3).
-+1 Level and Nothing = 8.333%
+This results in the following (desirable) outcomes, as opposed to a {{il|Vaal Orb}}, assuming a 20/20 gem is used:
-+1 Level and Vaal if able* = 8.333%
+{| class="wikitable"
+|+ Corruption outcomes (no Vaal version)
+|-
+! Level !! Quality !! Lapidary Lens !! Vaal Orb
+|-
+| 21 || 23% || {{Tooltip|3.17%|(1/4)(1/2)*(1/3)(8/21) + (1/4)(8/21)*(1/3)(1/2)}} || {{n/a}}
+|-
+| 21 || ≥20% || {{Tooltip|21.0%|(1/4)(1/2)*((1/3)(11/21)+(2/3)) + (1/4)(11/21)*(1/3)(1/2) + (2/4)*(1/3)(1/2)}} || {{Tooltip|12.5%|(1/4)(1/2)}}
+|-
+| 21 || any || {{Tooltip|25%|(1/4)(1/2) + (3/4)*(1/3)(1/2)}} || {{Tooltip|12.5%|(1/4)(1/2)}}
+|-
+| any || 23% || {{Tooltip|19.0%|(1/4)(8/21) + (3/4)*(1/3)(8/21)}} || {{Tooltip|9.5%|(1/4)(8/21)}}
+|-
+| any || ≥20% || {{Tooltip|76.2%|(1/4)(11/21) + (3/4)*((1/3)(11/21)+(2/3))}} || {{Tooltip|88.1%|(1/4)(11/21)+(3/4)}}
+|}
--1 Level and + Quality = 4.167% (3.75% for 23% quality)
+{| class="wikitable"
+|+ Corruption outcomes (Vaal version)
+|-
+! Vaal version !! Level !! Quality !! Lapidary Lens !! Vaal Orb
+|-
+| No || 21 || 23% || {{Tooltip|3.17%|(1/4)(1/2)*(1/3)(8/21) + (1/4)(8/21)*(1/3)(1/2)}} || {{n/a}}
+|-
+| No || 21 || ≥20% || {{Tooltip|12.7%|(1/4)(1/2)*((1/3)(11/21)+(1/3)) + (1/4)(11/21)*(1/3)(1/2) + (1/4)*(1/3)(1/2)}} || {{Tooltip|12.5%|(1/4)(1/2)}}
+|-
+| No || 21 || any || {{Tooltip|16.7%|(1/4)(1/2)*(2/3) + (2/4)*(1/3)(1/2)}} || {{Tooltip|12.5%|(1/4)(1/2)}}
+|-
+| Yes || 21 || 20% || {{Tooltip|8.3%|(1/4)(1/2)*(1/3) + (1/4)*(1/3)(1/2)}} || {{n/a}}
+|-
+| Yes || 20 || 23% || {{Tooltip|6.3%|(1/4)(8/21)*(1/3) + (1/4)*(1/3)(8/21)}} || {{n/a}}
+|-
+| No || any || 23% || {{Tooltip|12.7%|(1/4)(8/21)*(2/3) + (2/4)*(1/3)(8/21)}} || {{Tooltip|9.5%|(1/4)(8/21)}}
+|-
+| Yes || any || ≥20% || {{Tooltip|42.1%|(2/4)*(1/3) + (1/4)(11/21)*(1/3) + (1/4)*((1/3)(11/21)+(2/3))}} || {{Tooltip|25%|(1/4)}}
+|}
-+ Quality and Nothing = 8.333% (7.5% for 23% quality)
+If the player does not care about gem level 21, a -1 to level is not necessarily a bad outcome as the gem can still be re-levelled back to 20. Loss of quality and an undesirable vaal/no vaal change are the only "real" brick outcomes.
-+ Quality and Vaal if able* = 8.333% (7.5% for 23% quality)
+===Lore===
-Only Vaal if able* = 16.667%
-*If a gem doesn't have a vaal option, then it does nothing and it's chance is added to doing nothing.
-===Trivia===
 The room is named after [[Doryani]], who was known for his thaumaturgy with virtue gems.
@@ Line 53: / Line 92: @@
 }}
 {{Version history table end}}
+==References==
+{{reflist}}
 {{Navbox Incursion Rooms}}
 [[ru:Аудитория Дориани]]

v t e Incursion rooms

Tier 0	Antechamber Apex of Atzoatl Banquet Hall Cellar Chasm Cloister Entrance Halls Passageways Pits Tombs Tunnels

Tier 1	Armourer's Workshop Corruption Chamber Explosives Room Flame Workshop Gemcutter's Workshop Guardhouse Hall of Mettle Hatchery Jeweller's Workshop Lightning Workshop Poison Garden Pools of Restoration Royal Meeting Room Sacrificial Chamber Shrine of Empowerment Sparring Room Splinter Research Lab Storage Room Strongbox Chamber Surveyor's Study Tempest Generator Torment Cells Trap Workshop Vault Workshop

Tier 2	Arena of Valour Armoury Automaton Lab Barracks Breach Containment Chamber Catalyst of Corruption Cultivar Chamber Demolition Lab Department of Thaumaturgy Engineering Department Hall of Heroes Hall of Locks Hall of Lords Hall of Offerings Hurricane Engine Jewellery Forge Office of Cartography Omnitect Forge Omnitect Reactor Plant Sanctum of Unity Sanctum of Vitality Temple Defense Workshop Torture Cages Treasury Warehouses

Tier 3	Apex of Ascension Atlas of Worlds Chamber of Iron Conduit of Lightning Court of Sealed Death Crucible of Flame Defense Research Lab Doryani's Institute Factory Glittering Halls Hall of Champions Hall of Legends Hall of War House of the Others Hybridisation Chamber Locus of Corruption Museum of Artefacts Sadist's Den Sanctum of Immortality Shrine of Unmaking Storm of Corruption Temple Nexus Throne of Atziri Toxic Grove Wealth of the Vaal