Troop Cap Calculator

Calculate your OpenFront troop cap. The game never shows your tile count, so enter your map and the leaderboard Owned % — it converts to tiles, then gives max troops, the 42.2% growth peak, and the recommended band.

Map Map size Land share (leaderboard %) Sum of city levels

Tiles (derived)–

Max troops–

Peak growth point (42.2%)–

Recommended band (35–55%)–

Contributed by cities

The game never shows your tile count — the leaderboard only gives a land percentage. So this takes the numbers you can actually read off the screen and derives the tiles. 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 →