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paragon boost perk
 
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{{lede image|BTD6 tutorial ParagonIcon.png|Icon used to represent Paragons}}
{{lede image|BTD6 tutorial ParagonIcon.png|Icon used to represent Paragons}}
'''Paragons''' are a special kind of [[upgrade]] in ''[[Bloons TD 6]]'', introduced in {{BTD6 version|27.0}}. They are exceptionally powerful (and exceptionally expensive) upgrades that combine major elements of all three of the [[tower]]'s tier 5 upgrades. Paragons have massive [[damage]] bonuses against [[Boss Bloon]]s, which were introduced in the same update, making them essential against high-tier bosses in [[Boss Bloon Event]]s, [[Boss Challenge]]s, and [[Boss Rush]]es.
'''Paragons''' are a special kind of [[upgrade]] in ''[[Bloons TD 6]]'', introduced in {{BTD6 version|27.0}}. They are exceptionally powerful (and exceptionally expensive) upgrades that combine major elements of all three of a [[tower]]'s tier 5 upgrades. Paragons have massive [[damage]] bonuses against [[Boss Bloon]]s, which were introduced in the same update, making them essential against high-tier bosses in [[Boss Bloon Event]]s, [[Boss Challenge]]s, and [[Boss Rush]]es.


Upgrading a tier 5 tower into a Paragon requires having all three tier 5 versions of the same tower on the map at the same time. For example, creating the [[Dart Monkey (BTD6)|Dart Monkey]]'s Paragon requires having a Dart Monkey with the [[Ultra-Juggernaut (BTD6)|Ultra-Juggernaut]] upgrade, a Dart Monkey with the [[Plasma Monkey Fan Club (BTD6)|Plasma Monkey Fan Club]] upgrade, and a Dart Monkey with the [[Crossbow Master (BTD6)|Crossbow Master]] upgrade all on the map at the same time. In [[Sandbox (BTD6)|Sandbox]] mode, the option to upgrade to a Paragon does not appear unless the player has already used that Paragon at least once in another game mode. Once one of the tier 5 towers is upgraded into a Paragon, it absorbs all other towers of the same tower type and [[Paragon Power Totem]]s on the map, merging them into a single tower. Paragons come with a Degree stat that affects how powerful it is, which is determined by multiple factors:
Upgrading a tier 5 tower into a Paragon requires having all three tier 5 versions of the same tower on the map at the same time. For example, creating the [[Dart Monkey (BTD6)|Dart Monkey]]'s Paragon requires having a Dart Monkey with the [[Ultra-Juggernaut (BTD6)|Ultra-Juggernaut]] upgrade, a Dart Monkey with the [[Plasma Monkey Fan Club (BTD6)|Plasma Monkey Fan Club]] upgrade, and a Dart Monkey with the [[Crossbow Master (BTD6)|Crossbow Master]] upgrade all on the map at the same time. In [[Sandbox (BTD6)|Sandbox]] mode, the option to upgrade to a Paragon does not appear unless the player has already made that Paragon at least once in another game mode. Once one of the tier 5 towers is upgraded into a Paragon, it absorbs all other towers of the same tower type and [[Paragon Power Totem]]s on the map, merging them into a single tower. Paragons come with a Degree stat that affects how powerful it is, which is determined by multiple factors:
*The amount of extra cash invested on the Paragon menu plus the total amount of cash invested into the towers absorbed
*The amount of extra cash invested on the Paragon menu plus the total amount of cash invested into the towers absorbed
*The total number of upgrade tiers on non-tier-5 towers absorbed
*The total number of upgrade tiers on non-tier-5 towers absorbed
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*The total amount of damage dealt and cash produced by all towers absorbed
*The total amount of damage dealt and cash produced by all towers absorbed
*The total number of [[Paragon Power Totem]]s absorbed
*The total number of [[Paragon Power Totem]]s absorbed
The maximum possible Paragon Degree is 100. With the exception of Paragon Power Totems, each factor has a limit to the amount it can contribute to the Paragon's Degree. Without Paragon Power Totems, it's only possible to create a maxed-out Paragon in Co-op because it requires having additional tier 5 towers from other players, otherwise the max degree from the rest of the requirements is 91.
*Whether the [[Paragon Boost]] Perk is applied
The maximum possible Paragon Degree is 100. With the exception of Paragon Power Totems, each factor has a limit to the amount it can contribute to the Paragon's Degree. Without Paragon Power Totems or Paragon Boost, it's only possible to create a maxed-out Paragon in Co-op because it requires having additional tier 5 towers from other players, otherwise the max degree from the rest of the requirements is 91.


==Terminology and notation==
==Terminology and notation==
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===Properties===
===Properties===
{{research|section=y|do ct/boss rush relics affect paragons}}
*Unlike regular upgrades, Paragon upgrades cannot be [[discount]]ed. Their costs only change based on the [[difficulty]].
*Unlike regular upgrades, Paragon upgrades cannot be [[discount]]ed. Their costs only change based on the [[difficulty]].
*Paragons cannot be [[tower buff|buffed]] by anything except other Paragons or [[Monkey Knowledge (BTD6)|Monkey Knowledge]].
*Paragons cannot be [[tower buff|buffed]] by anything except other Paragons, {{BTD6|Monkey Knowledge}}, or most [[Perk]]s.
**Only Paragons are affected by the {{BTD6 mk|Paragon of Power}} [[Monkey Knowledge (BTD6)|Monkey Knowledge]].
**Only Paragons are affected by the {{BTD6 mk|Paragon of Power}} {{BTD6|Monkey Knowledge}}.
*Paragons are not affected by any [[Power]]s, including the [[Time Stop]].
*Paragons are not affected by any [[Power]]s, including the [[Time Stop]].
*Paragons cannot be relocated by [[Support Chinook (BTD6)|Support Chinook]]s or [[Special Poperations (BTD6)|Special Poperations]].
*Paragons cannot be relocated by {{BTD6|Support Chinook}}s or {{BTD6|Special Poperations}}.
*Paragons cannot be sacrificed to [[Sun Temple (BTD6)|Sun Temple]]s, [[True Sun God (BTD6)|True Sun God]]s, or [[Adora (BTD6)|Adora]].
*Paragons cannot be sacrificed to {{BTD6|Sun Temple}}s, {{BTD6|True Sun God}}s, or {{BTD6|Adora}}.
*In ''[[Rogue Legends]]'', Paragons are affected by [[Artifact]]s (including [[Boost]]s).
*In ''[[Rogue Legends]]'', Paragons are affected by [[Artifact]]s (including [[Boost]]s) and cost 50% less to purchase.
*Some Heroes, like [[Striker Jones (BTD6)|Striker Jones]], have abilities, e.g. Artillery Command, that affect Paragons, such as the [[Ballistic Obliteration Missile Bunker]], while others do not, such as [[Admiral Brickell (BTD6)|Admiral Brickell]]'s Naval Tactics.
*Some non-Paragon towers can affect Paragons and/or their attacks:
**{{BTD6|Special Poperations}} with {{BTD6 mk|Door Gunner}} or [[Jammin Bass-Drop Basin]]'s hover ducky can pick up and drop off the [[Master Builder]]'s Sentry Paragons.
**[[Galvanic Conduit]], [[Thunder's Decree]], or [[Stormwrath Archon]]'s combo attacks can attract the plasma projectiles from the Master Builder's Sentries.
**{{BTD6|Striker Jones}}' Artillery Command can reset the [[Ballistic Obliteration Missile Bunker]]'s ability cooldowns.


===Paragon power===
===Paragon power===
'''Paragon power''' is a measurement of the total "value" of the towers absorbed by the Paragon. It is determined by multiple factors of the towers it absorbed, split into four different "categories", each with a limit on how much power it can contribute. Paragon power determines the Paragon's Degree, though it is not shown directly to the player.
'''Paragon power''' is a measurement of the total "value" of the towers absorbed by the Paragon. It is determined by multiple factors of the towers it absorbed, split into four different "categories", each with a limit on how much power it can contribute. Paragon power determines the Paragon's Degree, though it is not shown directly to the player.
*Cash invested — 60,000 power max
*Cash invested — 60,000 power max
**1 power per <math>\frac{\text{Paragon Cost}}{20,000}</math> spent on towers absorbed — any tier 5 towers on the map are ignored
**1 power per <math>\frac{\text{Paragon Cost}}{20,000}</math> spent on towers absorbed, ignoring cash spent on all tier 5 towers
**1 power per <math>\frac{\text{Paragon Cost}\times1.05}{20,000}</math> spent on the Paragon cost slider (this means using the slider is slightly less cost-efficient)
**1 power per <math>\frac{\text{Paragon Cost}\times1.05}{20,000}</math> spent on the Paragon cost slider (this means using the slider is slightly less cost-efficient)
***Note: This is based on the Paragon's cost on the current [[difficulty]], so [[Easy]] requires less cash per power and higher difficulties require more cash per power
***This is based on the Paragon's cost on the current [[difficulty]], so [[Easy]] requires less cash per power and higher difficulties require more cash per power.
*Tier 5 towers — 50,000 power max
*Tier 5 towers — 50,000 power max
**6,000 power per tier 5 tower absorbed — excludes the first three tier 5 towers
**6,000 power per tier 5 tower absorbed, ignoring the first three tier 5 towers
*Upgrades — 10,000 power max
*Upgrades — 10,000 power max
**100 power per upgrade tier of absorbed towers — all absorbed tier 5 towers are ignored by this, including their crosspaths
**100 power per upgrade purchased on absorbed towers, ignoring all upgrades purchased for tier 5 towers.
**It is recommended to get 25 of towers you plan on absorbing and upgrading them to the cheapest tier 2 paths for both paths to get the maximum potential from tower absorption while saving cash.
*Damage/income — 90,000 power max
*Damage/income — 90,000 power max
**1 power per 180 damage dealt by absorbed towers, as shown on their [[damage counter]]s
**1 power per 180 damage dealt by absorbed towers, as shown on their [[damage counter]]s
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**2,000 power per totem absorbed
**2,000 power per totem absorbed


====Console version====
====Xbox One and PlayStation 4 versions====
The console version, due to being based on an older build of the mobile version, uses the Paragon power system from before the rework in {{BTD6 version|39.0}}. This version lacks the cost slider, gives much less value from investing cash, and gives much more value from tier 5 towers.
The [[Bloons TD 6 (console)|Xbox One and PlayStation 4 versions]] use {{BTD6 version|32.0}}, lacking the reworked Paragon mechanics introduced in {{BTD6 version|39.0}}. This version lacks the cost slider, gives much less value from investing cash, and gives much more value from tier 5 towers.
*Cash invested — 10,000 power max
*Cash invested — 10,000 power max
**1 power per $25 spent on towers absorbed — the first three tier 5 towers are ignored
**1 power per $25 spent on towers absorbed, ignoring cash spent on the first three tier 5 towers
*Tier 5 towers — 90,000 power max
*Tier 5 towers — 90,000 power max
**10,000 power per tier 5 tower absorbed — excludes the first three tier 5 towers
**10,000 power per tier 5 tower absorbed, ignoring the first three tier 5 towers
*Upgrades — 10,000 power max
*Upgrades — 10,000 power max
**100 power per upgrade tier of absorbed towers — all absorbed tier 5 towers are ignored by this, including their crosspaths
**100 power per upgrade purchased on absorbed towers, ignoring all upgrades purchased for tier 5 towers
*Damage/income — 90,000 power max
*Damage/income — 90,000 power max
**1 power per 180 damage dealt by absorbed towers, as shown on their [[damage counter]]s
**1 power per 180 damage dealt by absorbed towers, as shown on their [[damage counter]]s
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===Degrees===
===Degrees===
The '''Degree''' of a Paragon determines its stats, affecting its [[attack speed]], [[pierce]], [[damage]], and [[Activated Ability]] cooldowns (if applicable). The Degree is determined by the amount of Paragon power it has, with higher Degrees requiring exponentially more power to reach than lower Degrees. The Degree cannot be changed after the Paragon is created. Cosmetically, Paragons have different models for every multiple of 20 Degrees. The formula to determine how much power is required for each degree is:
The '''Degree''' of a Paragon determines the [[attack speed]], [[pierce]], [[damage]], and ability cooldowns of all its [[attack]]s, [[projectile]]s, [[Activated Ability|Activated Abilities]], and other mechanics. Each of the Paragon's Degree-dependent stats has both a base stat (used at Degree 1) and a formula that modifies it based on its Degree. These formulas apply before [[mutation]]s, such as [[buff]]s, [[Monkey Knowledge (BTD6)|Monkey Knowledge]], and [[Perk]]s; for example, the [[Apex Plasma Master]]'s Degree affects its extra damage to [[Ceramic Bloon (BTD6)|Ceramic Bloon]]s, since that is inherent to the Paragon's projectiles, but does not affect its extra damage to MOAB-Class Bloons from {{BTD6 mk|Force vs Force}}. Cosmetically, every Paragon has a different model for Degrees 1–19, 20–39, 40–59, 60–79, and 80–100.
 
The amount of Paragon power the Paragon absorbs determines its Degree, with higher Degrees requiring exponentially more power to reach than lower Degrees. There is no way to change a Paragon's Degree after creating it. The formula to determine how much power each Degree requires is:


<math>P = \begin{cases} 0, & D = 1 \\ \frac{50D^3 + 5025D^2 + 168324D + 843000}{600}, & 2 \leq D \leq 99 \\ 200000, & D = 100\end{cases}</math>,
<math>P = \begin{cases} 0, & D = 1 \\ \frac{50D^3 + 5025D^2 + 168324D + 843000}{600}, & 2 \leq D \leq 99 \\ 200000, & D = 100\end{cases}</math>,
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|484
|484
|5,615
|5,615
|This is the minimum Degree that can be reached with just an additional tier 5 tower (by using {{BTD6 mk|Master Double Cross}} or Level 13+ [[Silas (BTD6)|Silas]]).
|This is the minimum Degree that can be reached with just an additional tier 5 tower (by using {{BTD6 mk|Master Double Cross}} or level 13+ [[Silas (BTD6)|Silas]]).
|-
|-
!12
!12
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|3,660
|3,660
|147,738
|147,738
|This is the highest Degree that can be reached without additional towers or Paragon Power Totems (only max pops and cash slider).
|This is the highest Degree that can be reached without additional towers, Paragon Power Totems, or Paragon Boost (only max pops and cash slider).
|-
|-
!89
!89
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|3,844
|3,844
|159,085
|159,085
|This is the highest Degree that can be reached in single player without Paragon Power Totems or additional tier 5 towers.
|This is the highest Degree that can be reached in single player without Paragon Power Totems, additional tier 5 towers, or Paragon Boost.
|-
|-
!92
!92
|3,906
|3,906
|162,991
|162,991
|For the Apex Plasma Master and Herald of Everfrost, this is the highest possible degree without Paragon Power Totems or additional tier 5 towers when Master Double Cross is enabled or when Silas is used.
|For the Apex Plasma Master and Herald of Everfrost, this is the highest possible degree without Paragon Power Totems, additional tier 5 towers, or Paragon Boost when Master Double Cross is enabled or when level 13+ Silas is used.
|-
|-
!93
!93
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|4,096
|4,096
|175,089
|175,089
|This is the highest Degree that can be reached for 2 player Co-op without Paragon Power Totems (3 additional tier 5s).
|This is the highest Degree that can be reached for 2 player Co-op without Paragon Power Totems or Paragon Boost (3 additional tier 5s).
|-
|-
!96
!96
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|4,290
|4,290
|187,764
|187,764
|This is the highest Degree that can be reached for Apex Plasma Master and Herald of Everfrost for 2 player Co-op without Paragon Power Totems (5 additional tier 5s).
|This is the highest Degree that can be reached for Apex Plasma Master and Herald of Everfrost for 2 player Co-op without Paragon Power Totems or Paragon Boost (5 additional tier 5s).
|-
|-
!99
!99
|4,356
|4,356
|192,120
|192,120
|This is the highest Degree that can be reached for 3 player Co-op without Paragon Power Totems (6 additional tier 5s).
|This is the highest Degree that can be reached for 3 player Co-op without Paragon Power Totems or Paragon Boost (6 additional tier 5s).
|-
|-
!100
!100
|7,880
|7,880
|200,000
|200,000
|If all other sources of Paragon Power are maxed out, reaching this Degree requires 20 Paragon Power Totems or 7 additional tier 5s in Co-op
|If all other sources of Paragon Power are maxed out, reaching this Degree requires 20 Paragon Power Totems or 7 additional tier 5s in Co-op.
|}
|}


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===Takeaways===
===Takeaways===
*Without Paragon Power Totems, the only way to max out a Paragon's power is to have at least seven additional tier 5 towers of the same tower type (nine in the console version), which is only possible in Co-op mode. For most towers, this requires four players, though the Dart Monkey only requires three players if one player has an extra Crossbow Master from {{BTD6 mk|Master Double Cross}} or all players are using [[Silas (BTD6)|Silas]] to upgrade a fourth Ice Monkey tier 5 each.
*Without Paragon Power Totems or Paragon Boost, the only way to max out a Paragon's power is to have at least seven additional tier 5 towers of the same tower type (nine in the Xbox One and PlayStation 4 versions), which is only possible in Co-op mode. To have enough tier 5 towers for Degree 100, most Paragons require four players, though there are some exceptions:
**In the console version, three extra Crossbow Masters are required, so all three players must have the Monkey Knowledge.
**The [[Apex Plasma Master]] only requires three players for Degree 100 if one player has an extra Crossbow Master from {{BTD6 mk|Master Double Cross}}. In the Xbox One and PS4 versions, all three players must place an extra Crossbow Master.
**Without any additional Tier 5 towers, the maximum Degree is 91.
**The [[Herald of Everfrost]] only requires three players for Degree 100 if one player has an extra tier 5 Ice Monkey from level 13+ [[Silas (BTD6)|Silas]].
*It takes 3 Paragon Power Totems to substitute the power contribution of one tier 5 tower, and 9 totems to get a degree 100.
*With no additional tier 5 towers, Paragon Power Totems, or Paragon Boost, the maximum possible Degree is 91. It takes 3 Paragon Power Totems to substitute the power contribution of one tier 5 tower, and 9 totems in total to get Degree 100.
*Higher Degrees require exponentially more power than lower Degrees and don't give as much of an attack speed bonus as lower Degrees, so going for higher Degrees has diminishing returns. In events, it's generally more efficient to go for multiple mid-Degree Paragons than to try to max out Paragons as much as possible.
*Higher Degrees require exponentially more power than lower Degrees and don't give as much of an attack speed bonus as lower Degrees, so going for higher Degrees has diminishing returns. In events, it's generally more efficient to go for multiple mid-Degree Paragons than to try to max out Paragons as much as possible.
*Paragons receive significant damage boosts against bosses for every 20 Degrees they have, so it's most cost-efficient to reach a multiple of 20 Degrees without going over. The difference in damage output between Degree 19 and Degree 20 is much bigger than between Degree 20 and Degree 21, for example.
*Paragons receive significant damage boosts against bosses for every 20 Degrees they have, so it's most cost-efficient to reach a multiple of 20 Degrees without going over. The difference in damage output between Degree 19 and Degree 20 is much bigger than between Degree 20 and Degree 21, for example.
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==List of Paragons==
==List of Paragons==
{{generic cargo query
{{generic cargo query
|table=btd6_paragons
|table=btd6_upgrades
|where=tier=6
|extra col 1=CONCAT("$", FORMAT(cost, 0))=Cost
|extra col 1=CONCAT("$", FORMAT(cost, 0))=Cost
|extra col 2=xp=XP to unlock
|extra col 2=xp=XP to unlock
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