Recursion

Recursion describes the interaction of percentage-modifying stacking of champion statistics. To have a recursion you need 2 or more multipliers, each one increasing the other's effect, infinitely but with diminishing returns.

General

Recursion formulas are defined by having the base value devided by (1 - the multiplication of the multipliers). For example, if two multipliers (A and B) increase a champion's attack damage, their base formula would either be $AD\times (1+A)\times (1+B)$ (multiplicative stacking) or $AD\times (1+A+B)$ (additive stacking). Recursion usually happens for multiplicative stackings, by then dividing the formula, for example, by $(1-A\times B)$. In game, recursion happens by default when such stacking occurs, but this is usually considered a bug and individually fixed.

Other recursions

• Poppy's Steadfast Presence / Malphite's Thunderclap and Conditioning.
• Note, a recursion is not calculated if the effects do not interact with each other (e.g Crimson Pact with Rabadon's Deathcap) or if the stat is gained on cast (e.g Blade of the Exile).