Monuments

Each Monument built increases one or more stat multipliers. Each Monument also has a corresponding Upgrade that greatly increases the stat multiplier of that Monument and also causes it to increase your rebirth multipliers. "Monument multipliers stack additively. For example, if one monument multiplies a stat by 1 + 200 and another one multiplies it by 1 + 400, the total multiplier is 601."Monuments are unlocked once Diana is defeated. Monument Upgrades are unlocked by defeating Freya.

Cost calculation
Second Monument costs 5x as much as the first. If we take the cost of the second Monument and use it as the Basecost B we can calculate the cost of the n-th Monuments with this Formula:

Cost =  B * ( n - 1 )

Example: "10,000 Stone * (27 - 1) = 260,000 Stone"
 * 1) The first Mighty Statue cost 2,000 Stone.
 * 2) Second Mighty Statue will cost 5 x 2,000 Stone = 10,000 Stone
 * 3) We use the 10,000 Stone as the Base cost to calculate the cost of the 27th Might Statue using the formula above:

Total Cost calculation
Using some math (to lazy to explain here and formula can be cleaned up a little as well), you can calculate the total cost for n monuments:

Total Cost =  B * ( n * ( n - 1 ) + 0.4) / 2

Example: "10,000 Stone * (27 * (27- 1) + 0.4) / 2 = 3,512,000 Stone"
 * 1) We use the 10,000 Stone as the Base cost to calculate the cost of 27 Might Statues using the formula above:

Build Time Calculation
The calculation takes Base Build-time Bbundefined and multiplies it by the n-th Monument. It then multiplies by 1000 and divides by the clones on the monument (C). Finally, it divides by build speed (Bs).

Buildtime = Bb * n * (1000 / C) / Bs

A build speed of 100% (i.e. no bonuses) would mean Bs = 1. With a 35% bonus, Bs = 1.35 and so on.

Total Build Time Calculation
Total Buildtime = Bb * n * (n + 1) / 2 * (1000 / C) / Bs

Mighty Statue
Boosts Physical stat. Base multiplier of 1.

Mystic Garden
Boosts Mystic stat. Base multiplier of 6.

Tomb of Gods
Boosts Battle stat. Base multiplier of 30.

Everlasting Lighthouse
Boosts Creating stat. Base multiplier of 150.

Godly Statue
Boosts Physical, Mystic, Battle and Creating. Base multiplier of 200.

Pyramids of Power
Boosts Physical, Mystic, Battle and Creating. Base multiplier of 600.

Temple of God
Boosts Physical, Mystic, Battle and Creating. Base multiplier of 1500.

Also, the player must build 1 Temple of God to unlock the Divinity Generator.

Black Hole
Boosts Physical, Mystic, Battle and Creating. Base multiplier of 100,000,000.

Each hour, has a 25% chance per Black Hole to generate 1 God Power, maxed at 100% with 4 black holes. If you have done BHC's, you have an additional 5% chance to earn an extra GP capped by either your BHC count, or number of Black Holes, whichever is lower, to a maximum of 3 GP/hr with 40 Black Holes built and 40 BHC completed.

Online GP earnings are not capped. The offline gain is capped at 12 hours, regardless of your BHC count.

Note: With maximum bonus from the BHC, the above costs are reduced by 80%, as well as the max GP per hour being increased to 3 with 40 black holes.

To build 'n' black holes the formula is the same as above: Cost =  B * ( n - 1 )

With BHC's completed this formula becomes quite complicated through the offset rounding. this formula is impossible to do without a spreadsheet or other syntax-enabled calculator. Here is the formula for a GoogleSheets spreadsheet:

=(5*(If(ISEVEN(Floor(25*(1-(0.02*BHC)))),ROUNDDOWN(25*(1-(0.02*BHC))),ROUNDUP(25*(1-(0.02*BHC))))))*(n-1)

Replace BHC with your BHC count, and n with the desired number of Black Holes.

Monument Upgrades
Monument Upgrades are unlocked upon defeating Freya, and have two main effects on multipliers. Firstly, monument upgrades give a massive multiplier boost to the current stats given by the relevant monument.

Second, they are crucial for your rebirth multipliers, granting large boosts. Each upgrade gives a boost to the multiplier. This rebirth multiplier will apply to the same stats that the monument impacts: a Mystic Garden upgrade affects the mystic multiplier, while the Godly Statue and Temple of God upgrades will affect every stats' rebirth multiplier.

Multiplier Formula
The formula on how much the next upgrade will increase the multiplier on a monument's current effect is:

5 + 10n

So, the first upgrade multiplies the power of a monument by 15, then adds 25, 35, and so on to that factor with each upgrade.

The total multiplier given by upgrading from from 0 to n is the arithmetic series:

5 n (n + 2)

Rebirth Formula
As for the impact on your rebirth multiplier, the formula for a given monument is:

(Monument's base multiplier) * (# of monuments made) * (upgrade factor)

The base multiplier is the equivalent boost without upgrades for each monument, as listed above, and cannot be changed. The upgrade factor is listed on the tooltip for upgrades, and grows by 0.25 with each upgrade with a cap. This begins at 5x, with 20 monument upgrades. Killing each P. Baal for that rebirth will increase the cap for the rebirth factor by 1 (4 more upgrades per kill).


 * Example

Say you have made 20 godly statues, with 10 upgrades. Then for all four stats, the rebirth multiplier will be multiplied by a factor of:

(Godly statue base multiplier of 200) * (20 monuments made) * ( 2.5 factor from 10 upgrades)

200 * 20 * 2.5 = 10,000x your original rebirth multipliers

Upgrade Caps
Each monument has a limit on how many upgrades will affect your rebirth multiplier.

The upgrade factor starts at 0 and increases by 0.25 for each upgrade. The default maximum is set to a factor of 5. Which means at default, only the first 20 upgrades of a monument will count towards your rebirth multipliers.

The limit is increased by 1 for every P.Baal you defeat. Which means you can build 4 more. This resets to the default cap of 5 after rebirth.

This limit is increased by 4% for each PBC completed.

Be aware that there is no default limit on building more upgrades than the cap, because the upgrade cap does not apply to the stats the monuments will give you during the current rebirth. Use of the "Next At" option may help with this.

Cost Calculation
For Upgrades, you can treat the cost for the first upgrade as the base cost. The 2nd upgrade will always have the same cost as the first, and from there on, the cost is equal to (Base Cost) * (level - 1)^2. The tables below will outline the cost for the first few upgrades.

Mighty Statue Upgrades
Formula for total cost of level 1 to n upgrades is:

5/3 (6 + n - 3 n^2 + 2 n^3)

Mystic Garden Upgrades
Formula for total cost of level 1 to n upgrades is:

5/3 (6 + n - 3 n^2 + 2 n^3)

Tomb of Gods Upgrades
Formula for total cost of level 1 to n upgrades is:

5/6 (n - 1) n (2 n - 1) + 5

Everlasting Lighthouse Upgrades
Formula for total cost of level 1 to n upgrades is:

1/6 (n - 1) n (2 n - 1) + 1

Godly Statue Upgrades
Formula for total cost of level 1 to n upgrades is:

1/6 (n - 1) n (2 n - 1) + 1

Pyramids of Power Upgrades
Formula for total cost of level 1 to n upgrades is:

1/6 (n - 1) n (2 n - 1) + 1

Temple of God Upgrades
Formula for total cost of level 1 to n upgrades is:

1/6 (n - 1) n (2 n - 1) + 1

Black Hole Upgrades
Awards 1 GP at rebirth for every upgrade up to maximum of 50.

Formula for total cost of level 1 to n upgrades is:

(10/3 (n - 1) * n * (2 n - 1) ) + 20

It should be noted that this formula becomes dramatically more complicated with BHC's partially finished:

((20/6*(1-(0.02*BHC)))*(n-1)*n*(2n-1))+(20*(1-(0.02*BHC)))

With maximum (40) BHC's completed this formula can be simplified back to:

(2/3 (n - 1) * n * (2 n - 1) ) + 4