Shiny Pokémon: Difference between revisions

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===Generations III and IV===
===Generations III and IV===
In Generation III, most of the data structures were redone. As such, a Pokémon's shininess would no longer need to be linked to its stats due to incompatibilities between the Generation III games and previous generations. The determinant for shininess is instead a calculation based on the [[Trainer ID number]] of the player encountering it and the [[personality value#Shininess|personality value]] of the Pokémon. <!-- This needs to be verified. I thought it was the same as in Generation II.: -->The secret ID  and trainer ID bytewords are first xored together, and then the first byteword of the personality value is xored with the second byteword of the personality value.  If the xor of these two results is less than eight, then the Pokémon is shiny.  This results in a [[Personality_value#Shininess|probability]] of  8 in 65536; simplified as 1/8192 (0.0001220703125% or 2<sup>-10</sup>), just as in Generation II.  Symbolically:
In Generation III, most of the data structures were redone. As such, a Pokémon's shininess would no longer need to be linked to its stats due to incompatibilities between the Generation III games and previous generations. The determinant for shininess is instead a calculation based on the [[Trainer ID number]] of the player encountering it and the [[personality value#Shininess|personality value]] of the Pokémon. <!-- This needs to be verified. I thought it was the same as in Generation II.: -->The secret ID  and trainer ID bytewords are first xored together, and then the first byteword of the personality value is xored with the second byteword of the personality value.  If the xor of these two results is less than eight, then the Pokémon is shiny.  This results in a [[Personality_value#Shininess|probability]] of  8 in 65536; simplified as 1/8192 (0.0001220703125% or <br>2<sup>-10</sup>), just as in Generation II.  Symbolically:


(Trainer ID) '''xor''' (Secret ID) = E
(Trainer ID) '''xor''' (Secret ID) = E
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If E '''xor''' F is less than eight, then the Pokémon is shiny.
If E '''xor''' F is less than eight, then the Pokémon is shiny.


In [[Trainer Tower]] in {{g|FireRed and LeafGreen}} there are two trainers which have shiny Pokémon. In the single battle mode, the seventh trainer has a shiny {{p|Meowth}}, while in double battle mode, the first pair of trainers have a shiny {{p|Espeon}}. In another series of battles, a fisherman will send out a shiny {{p|Seaking}}.
In [[Trainer Tower]] in {{g|FireRed and LeafGreen}} there are two trainers which have shiny Pokémon. In the single battle mode, the seventh trainer has a shiny {{p|Meowth}}, while in [[double battle]] mode, the first pair of trainers have a shiny {{p|Espeon}}. In another series of battles, a fisherman will send out a shiny {{p|Seaking}}.


===Pokémon Mystery Dungeon===
===Pokémon Mystery Dungeon===
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