I'm referring to the wave-like bumps on that dog house's roof. What do you call them?
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If you mean the bumps caused by damage then bumps would serve but dents would be common, and is particularly likely to be used when they are from damage.
If you mean the wave-like ridges across the entire surface, then corrugations. That sort of metal is called corrugated iron.
When metal surfaces are damaged via force, there are lots of different terms that may apply:
And even more generic terms such as 'smashed' work just fine in a lot of cases.
As other's have stated, the horizontal 'waves' aren't damage, but part of the manufacturing process.
I would describe a damaged metal surface as wrinkled if it is deformed as the photo shows and not merely bent or corroded.
I would also use it to describe any corrugated surface, like corrugated paper, after being crumpled. I would also use this word to describe any smooth surface, as in a car body panel, after a collision. I think wrinkled implies unintended irregularity and hence damage. The asker does specifically state "damaged."
I have to assume that laypersons know that corrugations, when they appear, are intentional and not a consequence of damage since they appear in so many places and they are simply too regular in application to be the result of damage.