The easiest way to get one is to win the Bug Catching Contest in the National Park after acquiring the National Pokedex, but I'm sure there are other ways-e.g. As a held item by a wild pokemon, pickup, hidden item on a route etc.
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I believe you can get a Shiny Stone in HeartGold in the Pokèathlon Prize Corner after you get 5000 Points.
There is a shiny stone in nation park top right corner You will need rock climb to get
I believe it is something like a shiny Pokemon or shiny leaf stone. Getting a shiny Pokemon takes LOTS of luck, and a shiny leaf stone I think you find in patches of grass outside of Violet City in HeartGold. Hope this answers your question
No Pokemon, in any games, hole a shiny stone. In Pokemon HeartGold you can buy a Shiny Stone at the Pokeathlon Dome, after the National Pokedex is obtained, on Sunday, Monday, Wendsday, Thursday, and Saturday for 3,000 points.
You can buy the Shiny stone at the pokeatholon dome