Beards of Power

Beards of Power is a feature that is unlocked by using UUG's Armpit Hair, which is a guaranteed drop from UUG, The Unmentionable.
It enables you to grow different kinds of beards using the excess energy generated after the resource has capped (aka mostly based on bars), which each give different kinds of temporary bonuses. If a beard slot is active at rebirth, a part of that temporary bonus then becomes permanent. You can only have as many Beards active as you have Beard Slots. There are 7 beards and 7 beard slots.
==Permanent Levels==
Permanent levels gained on rebirth is given by
:\min(
 \lfloor\sqrt{\mathit{temporary\ beard\ level}} 
 \times \mathit{timefactor} \rfloor
, 
 temporary\ beard\ level
)
The time factor is 0 initially, and increases additively by 1/3 every hour until the maximum of 8 after 24 hours of rebirth time (-1 hour for every level of the Five O'Clock Shadow perk, to a maximum of 12 hours).
If the permanent level gained on rebirth calculated with the above equation is higher than the temporary level, the permanent level gained will be equivalent to the temporary level instead. For example, at 50 temporary level, 56 permanent level will be supposedly gained on rebirth with a time factor of 8. Since that is higher than the temporary level, only 50 permanent level will actually be gained.
Graph (v6)
== Progress ==
Progress per tick is defined by formula:
:\dfrac{Bars \times \sqrt{Power} \times (1 + Equip_{BeardSpeed})}{SpeedDivider \times (level + 1) \times Beards_{SameResource}} \times Digger_{Beards} \times Quirk_{Beards}
Bars and Power refer to resource used by the beard (Energy or Magic). Beardverse (set) reward reduces BeardsSameResource penalty by 10% (0.9 of beards count with same resource). Speed dividers differ per beard and are as follows:
Beard 	Speed divider
The Fu Manchu 	10000000 (1e7)
The Neckbeard 	30000000 (3e7)
The Reverse Hitler	30000000 (3e7)
The Beard Cage 	100000000 (1e8)
The LadyBeard 	100000000 (1e8)
The BEARd 	300000000 (3e8)
The Golden Beard 	300000000 (3e8)
==The Beards==
There are currently 7 beards, which grow using either Energy or Magic. (EM Bars multiplied by EM Power square root). 
====The Fu Manchu====
*Grants an Attack/Defense bonus.
*Magic based.
* Bonus:f(L) = L \times 5\%
* Permanent Bonus:f(L) = L \times 1\%
====The Neckbeard====
*Grants a Drop Chance bonus.
*Energy based.
* Bonus:
f(L) = 
\begin{cases} 
L \times 0.05\%, & L \le 1000 \\
L^{0.3} \times 125.9 \times 0.05\%, & L > 1000
\end{cases}
* Permanent Bonus:
f(L) = 
\begin{cases} 
L \times 0.05\%, & L \le 1000 \\
L^{0.33} \times 102.4 \times 0.05\%, & L > 1000
\end{cases}
====The Reverse Hitler====
*Grants a NUMBER bonus.
*Magic based.
* Bonus:
f(L) = 
\begin{cases} 
L \times 1\%, & L \le 1000 \\
L^{0.5} \times 31.7 \times 1\%, & L > 1000
\end{cases}
* Permanent Bonus:
f(L) = 
\begin{cases} 
L \times 0.1\%, & L \le 1000 \\
L^{0.5} \times 31.7 \times 0.1\%, & L > 1000
\end{cases}
====The Beard Cage====
*Grants a NGU speed bonus.
*Energy based.
* Bonus:
f(L) = 
\begin{cases} 
L \times 0.01\%, & L \le 1000 \\
L^{0.3} \times 125.9 \times 0.01\%, & L > 1000
\end{cases}
* Permanent Bonus:
f(L) = 
\begin{cases} 
L \times 0.02\%, & L \le 1000 \\
L^{0.3} \times 125.9 \times 0.02\%, & L > 1000
\end{cases}
====The LadyBeard====
*Grants a Wandoos speed bonus.
*Magic based.
* Bonus:
f(L) = 
\begin{cases} 
L \times 0.1\%, & L \le 1000 \\
L^{0.5} \times 31.7 \times 0.1\%, & L > 1000
\end{cases}
* Permanent Bonus:
f(L) = 
\begin{cases} 
L \times 0.2\%, & L \le 1000 \\
L^{0.5} \times 31.7 \times 0.2\%, & L > 1000
\end{cases}
====The BEARd====
*Grants an Adventure stats bonus.
*Energy based.
* Bonus:
f(L) = 
\begin{cases} 
L \times 0.1\%, & L \le 1000 \\
L^{0.3} \times 125.9 \times 0.1\%, & L > 1000
\end{cases}
* Permanent Bonus:
f(L) = 
\begin{cases} 
L \times 0.05\%, & L \le 1000 \\
L^{0.5} \times 31.7 \times 0.05\%, & L > 1000
\end{cases}
====The Golden Beard====
Unlocked by completing the 7th Troll Challenge.
*Grants a Gold (Time Machine) bonus.
*Magic based.
* Bonus:
f(L) = 
\begin{cases} 
L \times 0.2\%, & L \le 1000 \\
L^{0.5} \times 31.7 \times 0.2\%, & L > 1000
\end{cases}
* Permanent Bonus:
f(L) = 
\begin{cases} 
L \times 0.5\%, & L \le 1000 \\
L^{0.5} \times 31.7 \times 0.5\%, & L > 1000
\end{cases}
==Extra Slots==
There are 7 total beard slots, found via the following methods:
* 1 upon unlocking feature
* 1 from Troll Challenge, completion 4
* 1 from EXP shop (50,000 EXP)
* 4 from 4G's Sellout Shop
== Beards of Power upgrades ==
There are several upgrades that improve different aspects of Beards of Power:
* Normal Troll Challenges 4 and 7
===4G's Sellout Shop===
Name 	Effect 	Price (AP)
An Extra Beard Slot!	+1 Beard Slot.	110,000 (first)
225,000 (second to fourth)
===Perks===
Name 	Effect 	Price (PP)	Levels	Difficulty
Five O'Clock Shadow 	The time factor will reach its maximum 1 hour sooner per level, to a minimum of 12 hours.	10 	12 	Normal
Beard Temp Level Bank I 	Banks +10% of temp Beard level for the next rebirth. 	3 	10 	Normal
Beard Temp Level Bank II 	Banks +10% of temp Beard level for the next rebirth. 	10 	10 	Normal
Beard Temp Level Bank III	Banks +10% of temp Beard level for the next rebirth. 	25 	10 	Evil
Beard Temp Level Bank IV 	Banks +10% of temp Beard level for the next rebirth. 	50 	10 	Evil
Beard Temp Level Bank V 	Banks +10% of temp Beard level for the next rebirth. 	100 	10 	Evil
===Quirks===
Name 	Effect 	Price (QP)	Levels	Difficulty
The Beast's Special Beard Tonic	50 	50 	Normal	
Beard Temp Level Bank I 	Banks +5% of temp Beard level for the next rebirth.	100 	10 	Normal
Beard Temp Level Bank II 	Banks +5% of temp Beard level for the next rebirth.	250 	10 	Normal
Beard Temp Level Bank III 	Banks +5% of temp Beard level for the next rebirth.	500 	10 	Evil
Beard Temp Level Bank IV 	Banks +5% of temp Beard level for the next rebirth.	1,000 	10 	Evil
Beard Temp Level Bank V 	Banks +5% of temp Beard level for the next rebirth.	2,000 	10 	Evil
===Items===
Item 	Effect 	Source
Armpit Set 	UUG, The Unmentionable 	
Beardverse Set 	10% reduced penalty to levelling speed, when equipping multiple beards that use Energy or Magic at the same time!	The Beardverse
Build Beard Speed	Gain Beard Speed. 	
=== Other features ===
* Energy/Magic Beard Digger
==Figures==
The following graphs show the diminishing returns for beards up to level 10,000:
https://imgur.com/a/RmNSX2C
Category:Game Feature
Category:Game Menu