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
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{\displaystyle \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:

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×

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)

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{\displaystyle \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:

 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
×
5
%

{\displaystyle f(L) = L \times 5\%}
* Permanent Bonus:

f
(
L
# )
L
×
1
%

{\displaystyle f(L) = L \times 1\%}

#### **The Neckbeard**

* Grants a Drop Chance bonus.
* Energy based.
* Bonus:

f
(
L
# )

{

L
×
0.05
%
,

L
≤
1000

L

0.3

×
125.9
×
0.05
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.05
%
,

L
≤
1000

L

0.33

×
102.4
×
0.05
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
1
%
,

L
≤
1000

L

0.5

×
31.7
×
1
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.1
%
,

L
≤
1000

L

0.5

×
31.7
×
0.1
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.01
%
,

L
≤
1000

L

0.3

×
125.9
×
0.01
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.02
%
,

L
≤
1000

L

0.3

×
125.9
×
0.02
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.1
%
,

L
≤
1000

L

0.5

×
31.7
×
0.1
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.2
%
,

L
≤
1000

L

0.5

×
31.7
×
0.2
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.1
%
,

L
≤
1000

L

0.3

×
125.9
×
0.1
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.05
%
,

L
≤
1000

L

0.5

×
31.7
×
0.05
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.2
%
,

L
≤
1000

L

0.5

×
31.7
×
0.2
%
,

L
>
1000

{\displaystyle
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
# )

{

L
×
0.5
%
,

L
≤
1000

L

0.5

×
31.7
×
0.5
%
,

L
>
1000

{\displaystyle
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

## Figures

The following graphs show the diminishing returns for beards up to level 10,000:

https://imgur.com/a/RmNSX2C