Troop Cap Calculator

Calculate your OpenFront troop cap. Enter tiles and city levels to get max troops, the 42.2% growth peak, and the recommended band.

Max troops
Peak growth point (42.2%)
Recommended band (35–55%)
Contributed by cities

Each city level adds +250,000. Land scales at ^0.6 while cities are linear, so cities win once you have some territory.

Formula used

maxTroops = 2 * (tiles^0.6 * 1000 + 50000)
          + sum(cityLevels) * 250000

growthPerTick = (10 + troops^0.73 / 4) * (1 - troops / maxTroops)
peak at r = 0.73 / 1.73 = 0.4220...

Each city level adds exactly 250,000 to the cap. Land enters at ^0.6 and has diminishing returns, so cities win once you have some territory.

Full explanation: Troop Cap and the 42.2% Rule →