Rise of Kingdoms Calculators

Model the maths behind boosts, gear, City-Hall costs and gem value.

Combat math

Buff StackingBonuses of the same type add together, then multiply across categories. Skill damage is its own lane; enemy-defence debuffs multiply the whole stack. Now with the troop-triangle counter coefficient and skill Damage Factor (Algorithm A1).Next BuffWhat should you invest in next? Every option priced by the marginal formula x/(100+T) — the empty-category rule made mechanical (Algorithm A2, Theorems 2, 3 & 8).SolidityAre you protected from your troop-triangle counter? The required defence surplus is 10 points on day one and ~25 at endgame stacks (Algorithm A3, Theorems 4–6).Rage & CastsHow often your active skill actually fires, and what rage restoration buys you. Casts-per-fight is the single biggest damage lever (Algorithm A4).GearSum a loadout’s attack% and skill-damage%. Pre-loaded with the compendium’s worked archer-nuke example.

Economy & progression

City Hall 25How close your stockpiles are to the resources needed for CH25, plus the per-level cost breakpoints.Gem ValueOffers ranked by gems per US dollar, with an estimate of the cost to reach a gem target.Skills / SculpturesHow many sculptures — or universal Gold Heads — you need to raise a commander’s skills to your target.Commander XPWhat a commander’s climb costs in tomes, and how far the bag in your inventory actually stretches. The curve is back-loaded — level 50 is only ~44% of the way to 60.Trading PostWhat actually arrives when a farm feeds the main: received = sent × (1 − tax), 35% at Level 1 falling to 8% at Level 25 (D.6.1).Build/Research TimeSpeed bonuses sum, then divide the timer. Maxed construction techs cut ~a month and a half off the CH25 climb; the full research buff window reaches ≈+63% (D.6.3).T5 SustainmentThe subscription behind the unlock: healing 100k T5 costs 192M food, 192M wood, 144M stone — and 144M gold, 20× the T4 gold line (15.3).Inventory ScannerScan screenshots of your speedups, AP potions, XP tomes, boosts, buffs and timers (all in your browser — nothing is uploaded), review the rows, and get totals, timer coverage with alliance helps, and a one-click handoff into Buff Stacking. Manual entry works without scanning.