Okay! This is what I ended up doing. My wife found a black shirt she doesn't wear any more that has a similar pattern as the cloth on the grille. Even better when I stretched it a little.
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You can see the color and pattern on the shirt compared to the grille really well here. You can also see the residue left on the grille cloth that tried a sharpie on.
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I used just enough glue to adhere, I think, it didn't soak through the fabric shown in the next pic and it's still on there. Good ol' Elmer's glue.
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When I cut the strips I tried to do it at an angle that would somewhat match the pattern.
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Looks a little better from a distance. I took this standing up.
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This is the culprit responsible for the hair you see in the pic above. That's Misty. I love that dog. She follows me everywhere.
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This is from where I sit. Pretty much invisible until the blinds for the sliding glass door to the left are open and the sun's out. Then I can see it. Just on the left one. I suppose I can keep the blinds closed and live with it. *twitch*
I intentionally cut the strips a little on the big side so when the glue dries I can try to trim some more off and hopefully blend it a little better. I'm thinking rounding the edges off should help a little.
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Right now though, I can't see those patches at all from where I'm sitting.
I'm gonna put the logos back on in the right orientation on the new "bottom". Not bad for a newb, I think.