The Odd Egg = The perfect Pokemon to start a shiny breeding chain!

[Petzbreeder]

How many times did you have to soft reset to get a shiny from the egg?

If I can get a shiny of every type of Pokemon available from the Odd Egg, I will have a bigger variety of Pokemon to chain breed with.

I'm hoping I can get a shiny Pichu from the Odd Egg, so I can breed it with a Cyndaquil and get a shiny one.
Of course, I'll have to evolve Pichu before I can breed it.

[MegaNerd14]

The Odd Egg is a 1/8 chance of being a shiny, and the pokemon inside is generated as soon as you receive the egg. So you'd save before you get the egg, hatch the egg, and see what the pokemon is. If it's not what you want, you have to reset. When you're breeding the pokemon is generated as soon as the egg is, and since abilities don't exist yet hatching eggs is super slow.

[Shade_]

It's also important to note that using a shiny to breed DOES NOT increase the rate of hatching a shiny.

[Petzbreeder]

In G/S/C, using a shiny Pokemon while breeding actually does increase your chances. It just doesn't in the newer games.