Lifeform Formulas

Building Formulas

Resource Cost

$$\text{Cost}(L) = \left\lfloor \text{baseCost} \times \text{factor}^{L-1} \times L \right\rfloor$$

where:

• $L$ = building level
• $\text{baseCost}$ = base resource cost (metal, crystal, deuterium, or food)
• $\text{factor}$ = cost increase factor per level (varies per building)

Energy Consumption

$$\text{Energy}(L) = \left\lfloor L \times \text{energyBase} \times \text{factor}^L \right\rfloor$$

Upgrade Time

$$T(L) = \left\lfloor L \times \text{durationBase} \times \text{durationFactor}^L \right\rfloor$$

Building Bonus

$$\text{Bonus}(L) = L^{\text{increaseFactor}} \times \frac{\text{baseValue}}{100}$$

This is an exponential bonus that scales with the exponent $\text{increaseFactor}$.

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Lifeform Technology Formulas

Technology Resource Cost

$$\text{Cost}(L) = \left\lfloor \text{baseCost} \times \text{factor}^{L-1} \times L \right\rfloor$$

Identical in structure to building cost.

Technology Upgrade Time

$$T(L) = \left\lfloor L \times \text{durationBase} \times \text{durationFactor}^L \right\rfloor$$

Technology Bonus

$$\text{Bonus}(L) = \frac{\left\lfloor \text{baseCost} \times \text{factor}^{L-1} \times L \right\rfloor}{100}$$

The technology bonus is simply the resource cost divided by 100. This means:

• Higher-cost technologies provide more bonus per level
• The bonus grows at the same rate as the cost

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Key Observations

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Worked Example

For a hypothetical building with:

• baseCost = 50,000 Metal
• factor = 1.3
• increaseFactor = 0.5 (square root scaling)
• baseValue = 200 (representing 2.00%)

At level 5:

$$\text{Cost} = \lfloor 50000 \times 1.3^4 \times 5 \rfloor = \lfloor 50000 \times 2.8561 \times 5 \rfloor = 714,025 \text{ Metal}$$ $$\text{Bonus} = 5^{0.5} \times \frac{200}{100} = 2.236 \times 2 = 4.47\%$$

See Also

Overview · Humans · Rock'tal · Mecha · Kaelesh