Seams in destructable geometry

I have an asteroid that is created from smaller chunks so I can break it into smaller pieces. The problem I’m having is viewable seams from the smaller pieces. There are no gaps between each smaller piece and they fit perfectly together. The further the camera is away the worse the seam is and more jagged.

Thanks for any help

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The best way to do this is just like how Neurological said. To keep the lines from appearing have the full model in place and create a script that would spawn the broken model and destroy the full model once something hits the collider.