is the symbol for infinity, which has been used in a few exceptionally rare cases in the anime and manga as a monster's ATK or DEF value.

Strictly speaking, ∞ is not actually a number, but rather the concept of a value greater than any number. A monster with ∞ ATK cannot be destroyed by battle unless it battles another monster that also has ∞ ATK (and both are in Attack Position), in which case the two would destroy each other in a Double KO. If a monster with ∞ ATK attacked another Attack Position monster with non-infinite ATK, the controller of the latter would take an infinite amount of battle damage, instantly dropping their Life Points to 0.


  • In episode 182, Yami Yugi used the effects of "Legendary Knight Critias" and "Legendary Knight Hermos" to form an infinite loop where the ATK of "Hermos" would be continuously multiplied. By anime mechanics, this caused the ATK of "Hermos" to become ∞. He then used the effect of "Legendary Knight Timaeus", absorbing "Critias" and "Hermos" to Summon "Timaeus the Knight of Destiny". Since "Knight of Destiny's" ATK is equal to the combined ATK of the absorbed monsters, its ATK became ∞ as well. It then battled Dartz's "Divine Serpent Geh", destroying both monsters in a Double KO.


  • At one point when the five pieces of "Exodia" were gathered, the complete "Exodia" was shown as a monster with an ATK of ∞, representing "Exodia's" automatic victory condition.
  • In Yu-Gi-Oh! R - Duel Round 042, Dark Yugi used the effect of "Obelisk the Tormentor" to increase its ATK to ∞. However, his opponent, Yako Tenma, controlled "The Wicked Avatar", whose effect would make its own ATK and DEF equal to that of the strongest monster on the field + 1. This caused the ATK and DEF of "The Wicked Avatar" to become ∞ as well. True to actual math, the two ATK values were treated as equal to each other (∞ + 1 = ∞ and is not greater than ∞), and the two monsters were later able to destroy each other in battle in a Double KO.


  • There has not yet been an instance in the anime or manga where a player has achieved an infinite number of Life Points, although it would be theoretically possible by simply activating a card such as "Mystik Wok" on a monster with ∞ ATK or DEF.
    • It is unclear what would happen if a player with ∞ Life Points were to take ∞ damage (by a direct attack or otherwise), as ∞ subtracted from itself is an indeterminate value (for example, any number would be correct, as any number can be added to ∞ to yield ∞).
  • Technically speaking, Yami Yugi's maneuver with "Legendary Knight Hermos" would have yielded an ATK greater than ∞, if ∞ has its usual meaning of the smallest possible infinity. In math, it can be proven that adding or multiplying ∞ by any number (even multiplying ∞ by itself) yields a value equal to ∞, but multiplying a number (in this case, 2800) by another number (in this case, 3) an infinite number of times yields a value strictly greater than ∞. However, this subtlety is not properly picked up on in the anime, as Yami Yugi states that the ATK of "Legendary Knight Hermos" is ∞, and "Timaeus the Knight of Destiny" is destroyed by battle.
    • Presumably, a maneuver like this would be the only way to destroy a Defense Position monster with ∞ DEF by battle, by getting a monster whose ATK is higher than that DEF.

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