I've seen a couple variants of these patches around. A version featuring slobbermutt would be pretty funny without being obviously from the Kiwi Farms.
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Here's my quick-and-dirty mock-up of a possible design. Basically everything is open to change, especially the dog head, since I know from experience the dog's head will have to be redone to work on a 3" by 3" patch. Just wanted to see if anyone else thought this was a good idea before I commit to refining things.
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EDIT: Refined the designs, came up with some variants.
They're in this post.