Ice Cube
Legendary20% chance to inflict ice damage when hitting enemies. Ice can now freeze enemies.
Scaling Type:
Hyperbolic scaling for ice damage proc chance and freeze chance
Linear scaling for ice damage multiplier
Fixed 3.0s freeze duration
Detailed Explanation
Ice Cube gives your attacks a chance to deal ice damage and freeze enemies.
How it works:
- When you hit an enemy, Ice Cube has a chance to deal "ice damage" (~28.57% chance, not a 20% as the description says.) This is because 20 is the raw input number used before it's applied to the hyperbolic scaling formula
- The ice damage dealt is a percentage of your hit damage (40% with 1 copy)
- After dealing ice damage, there's a separate chance to freeze the enemy
- Frozen enemies are slowed by 70% for 3 seconds (with a 1.0x duration multiplier)
Ice damage formula:
Where
- $ n $ = number of Ice Cube copies
- HitDamage = the damage from the attack that triggered it
Freeze mechanics:
- Freeze duration: 3.0 seconds (fixed, does not scale with more copies, but does scale with your duration multiplier)
- Freeze chance is separate from ice damage chance and uses hyperbolic scaling
How it works:
- When you hit an enemy, Ice Cube has a chance to deal "ice damage" (~28.57% chance, not a 20% as the description says.) This is because 20 is the raw input number used before it's applied to the hyperbolic scaling formula
- The ice damage dealt is a percentage of your hit damage (40% with 1 copy)
- After dealing ice damage, there's a separate chance to freeze the enemy
- Frozen enemies are slowed by 70% for 3 seconds (with a 1.0x duration multiplier)
Ice damage formula:
$$
\text{IceDamage}(n) = 0.4n \times \text{HitDamage}
$$
Where
- $ n $ = number of Ice Cube copies
- HitDamage = the damage from the attack that triggered it
Freeze mechanics:
- Freeze duration: 3.0 seconds (fixed, does not scale with more copies, but does scale with your duration multiplier)
- Freeze chance is separate from ice damage chance and uses hyperbolic scaling
How it Stacks
Ice Cube has three scaling stats:
The chance to deal ice damage uses hyperbolic scaling:
Where $ n $ = number of Ice Cube copies
Examples:
- 1 copy → ~28.57% proc chance (not 20% as description suggests)
- 2 copies → ~44.44% proc chance
- 3 copies → ~54.55% proc chance
- 5 copies → ~66.67% proc chance
- 10 copies → ~80.00% proc chance
Note: The proc chance approaches 100% asymptotically but never reaches it.
The chance to freeze enemies uses hyperbolic scaling:
Where $ n $ = number of Ice Cube copies
Examples:
- 1 copy → 40.00% freeze chance
- 2 copies → ~57.14% freeze chance
- 3 copies → ~66.67% freeze chance
- 5 copies → ~76.92% freeze chance
- 10 copies → ~86.96% freeze chance
Note: The freeze chance approaches 100% asymptotically but never reaches it.
Each copy increases the ice damage multiplier linearly:
Where $ n $ = number of Ice Cube copies
Examples:
- 1 copy → 0.4× damage (40% of hit damage)
- 2 copies → 0.8× damage (80% of hit damage)
- 3 copies → 1.2× damage (120% of hit damage)
- 5 copies → 2.0× damage (200% of hit damage)
Key points:
- Both proc chance and freeze chance use hyperbolic scaling with diminishing returns
- Ice damage multiplier scales linearly
- Freeze duration is always 3s regardless of copies. Can only be increased by increasing your duration multiplier.
1. Ice Damage Proc Chance (Hyperbolic Scaling)
The chance to deal ice damage uses hyperbolic scaling:
$$
\text{ProcChance}(n) = \frac{0.2n}{0.2n + 0.5}
$$
Where $ n $ = number of Ice Cube copies
Examples:
- 1 copy → ~28.57% proc chance (not 20% as description suggests)
- 2 copies → ~44.44% proc chance
- 3 copies → ~54.55% proc chance
- 5 copies → ~66.67% proc chance
- 10 copies → ~80.00% proc chance
Note: The proc chance approaches 100% asymptotically but never reaches it.
2. Freeze Chance (Hyperbolic Scaling)
The chance to freeze enemies uses hyperbolic scaling:
$$
\text{FreezeChance}(n) = \frac{0.4n}{0.4n + 0.6}
$$
Where $ n $ = number of Ice Cube copies
Examples:
- 1 copy → 40.00% freeze chance
- 2 copies → ~57.14% freeze chance
- 3 copies → ~66.67% freeze chance
- 5 copies → ~76.92% freeze chance
- 10 copies → ~86.96% freeze chance
Note: The freeze chance approaches 100% asymptotically but never reaches it.
3. Ice Damage Multiplier (Linear Scaling)
Each copy increases the ice damage multiplier linearly:
$$
\text{DamageRatio}(n) = 0.4n
$$
Where $ n $ = number of Ice Cube copies
Examples:
- 1 copy → 0.4× damage (40% of hit damage)
- 2 copies → 0.8× damage (80% of hit damage)
- 3 copies → 1.2× damage (120% of hit damage)
- 5 copies → 2.0× damage (200% of hit damage)
Key points:
- Both proc chance and freeze chance use hyperbolic scaling with diminishing returns
- Ice damage multiplier scales linearly
- Freeze duration is always 3s regardless of copies. Can only be increased by increasing your duration multiplier.