This formula fits all data points (age 27) I have. Thanks to Sylvellior and others.
PPA
RaceB·SMax·-------------
EXP(a-b*PPA)
where a and b are the following constants:
- a = 33,5^0,5
- b = 1000/46005
- RaceB -> Race Bonus (Human: 1.3 / Undead: 0.5 / Other: 1.0)
- SMax -> Science Maximum (See Below)
- PPA -> Points Per Acre
- BE -> Building Efficiency
- Max(x : y) -> Returns the larger of x and y (Example: Max(1 : 2) = 2)
- Min(x : y) -> Returns the smaller of x and y (Example: Min(1 : 2) = 1)
- Exp(x) -> Returns e (2.71828) to the power of x (Example: Exp(1) = 2.71828)
- Science Maximum
Alchemy 45 %
Tools 25 %
Housing 25 %
Food 80 %
War 60 % (See Below)
Crime 80 %
Channeling 80 %
- Tools Science
The calculated science percentage for War is NOT the percentage displayed
in the game. In order to get the percentage used by Utopia you need to do
one more calculation.
-Percentage
--------------·100
100+Percentage
Example:
- War Maximum
-60
------·100 = -37.5%
100+60
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