It appears randomly in the wild, but it is really hard to find and it is very rare.
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You can find a Shiny Stone in Route 228 in Pokemon Diamond and Pearl. In Pokemon Platinum, you can also find a Shiny Stone on Iron Island.
Every time you walk into the tall grass, you have about a 1/8000 chance in spotting a differently colored pokemon, a shiny pokemon. You can also use an AR to get shiny pokemon.
1/8192. If you're in Diamond, Pearl, or Platinum and have chained a Pokemon species up to 40, however, the chance increases to 1/200, but you have to find a shiny patch in order to successfully get that particular shiny.
it takes a while depending on what game ex. diamond 20 - 30 tries. an easier way is to get a action replay code and you can make it shiny
You can find a Shiny Stone in route 6.