Slippery Ring
Slippery Ring Megabonk – Explained
The Slippery Ring gives a +15% evasion chance per copy.
Beware that evasion does NOT scale linearly even though each item raw does give +15%.
This is because Evasion scales using hyperbolic scaling.
In theory you can never quite reach 100%, but get very close to about 99.99%. In-game it can however show up as 100%. This is just because the UI rounds up, not because you actually have a 100% evasion chance.
Beware that evasion does NOT scale linearly even though each item raw does give +15%.
This is because Evasion scales using hyperbolic scaling.
$$\text{evadeChance} = 0.999 \cdot \frac{\text{value}}{\text{value} + 1}$$
In theory you can never quite reach 100%, but get very close to about 99.99%. In-game it can however show up as 100%. This is just because the UI rounds up, not because you actually have a 100% evasion chance.
How it Stacks
Each rings gives you a raw +15% chance, so the value is 0.15
If you feed that into the evasion formula you get
A few example points
With 1 ring:
raw value = 0.15
10 rings:
raw value = 1.5
If you feed that into the evasion formula you get
$$evadeChance(n)=0.999\cdot\frac{0.15n}{0.15n + 1}$$
A few example points
With 1 ring:
raw value = 0.15
$$
\text{evadeChance} \approx 0.999 \cdot \frac{0.15}{1.15} \approx 0.13%
$$
10 rings:
raw value = 1.5
$$
\text{evadeChance} \approx 0.999 \cdot \frac{1.5}{1.5 + 1} \approx 0.60%
$$
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