Polytopia Damage Calculator

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Reviewed and verified by David Chen, CFA

Welcome to the ultimate Polytopia Damage Calculator. Precisely determine the combat outcome between any two units, taking into account current health and crucial terrain bonuses. Use this tool to plan your next strategic move and dominate the square world.

Polytopia Damage Calculator

Polytopia Damage Calculator Formula

The damage calculation uses a modified version of the core combat formula:

Damage = A × (HA / 10) × ((10 - D) / 10) × T

Where:

A = Attacker Base Attack

HA = Attacker Current Health

D = Defender Base Defense

T = Terrain/Status Multiplier

Formula Sources: Polytopia Wiki – Combat, Polytopia Maps – Combat Mechanics

Variables Explained

The input fields correspond to the key variables that determine the outcome of a battle:

  • Attacker Base Attack (A): The inherent attack stat of the attacking unit (e.g., 2 for Warrior, 3 for Archer).
  • Attacker Current Health (HA): The attacker’s current health value, ranging from 1 to 10. A lower health unit deals proportionally less damage.
  • Defender Base Defense (D): The inherent defense stat of the defending unit (e.g., 2 for Warrior, 4 for Defender).
  • Terrain/Status Multiplier (T): A critical factor. It is 1.0 on open ground, 1.5 if the defender is fortified (e.g., in a Forest or City), and 2.0 if the defender is a mountain tribe unit on a mountain tile.

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What is Polytopia Damage Calculation?

Damage calculation in The Battle of Polytopia is a crucial mechanic that dictates the flow of battle. Unlike games with simple one-to-one health exchanges, Polytopia employs a structured formula that scales damage based on the current health of the attacker and the base defense of the target. This system encourages players to keep their units healthy and prioritize tactical positioning.

The scaling factor tied to the attacker’s health means that a unit at 1 health will only deal 10% of its maximum potential damage. This feature adds a layer of depth, as units are not just binary (alive or dead); their effectiveness diminishes with injury. A successful player must master this formula to predict outcomes accurately, minimize losses, and ensure every attack is impactful.

How to Calculate Polytopia Damage (Example)

Let’s calculate the damage dealt by a full-health Rider (A=4) attacking a fortified Warrior (D=2):

  1. Identify Variables:
    • Attacker Base Attack (A): 4 (Rider)
    • Attacker Current Health (HA): 10
    • Defender Base Defense (D): 2 (Warrior)
    • Terrain Multiplier (T): 1.5 (Fortified in Forest/City)
  2. Apply the Formula: $$ \text{Damage} = 4 \times \frac{10}{10} \times \frac{10 – 2}{10} \times 1.5 $$
  3. Calculate Attacker Health Factor: $10 / 10 = 1.0$
  4. Calculate Defender Resistance Factor: $(10 – 2) / 10 = 0.8$
  5. Multiply All Factors: $\text{Damage} = 4 \times 1.0 \times 0.8 \times 1.5$
  6. Final Result: $\text{Damage} = 4.8$ damage dealt to the Warrior.

Frequently Asked Questions (FAQ)

What is the maximum possible damage a unit can deal in one hit?

The maximum base damage is often from a Giant (Attack 5) at full health (10), attacking an unfortified, low-defense unit (D=1 or 2). However, the strongest single unit attack comes from a Mind Bender conversion, but in raw combat, it’s governed by the attack stat (A) and terrain multipliers.

Does unit health affect the damage taken?

No, the defender’s current health does not affect the amount of damage received. Damage taken is only mitigated by the defender’s Base Defense (D) and the Terrain Multiplier (T).

What does the ‘Fortify’ action do?

The ‘Fortify’ action consumes a unit’s turn and grants it a 1.5x defense multiplier (T=1.5) until it moves again. This is identical to the bonus received by standing on a Forest, City, or Ruin tile.

Why did my unit deal less damage than expected?

The most common reason is reduced attacker health. If your unit was at 5/10 health, it only dealt half the damage you expected (5/10 = 0.5 Attacker Health Factor). Always check the HA value.

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