I know what you mean about Duck and Duct.
I thought I had a picture of it, but I can't find it. The slice was an easy 2.5-3" long. After that I started looking into developing a patch and an inner tube, but seeing how only one other person with us has punctured a sidewall with a 3" limb laying on the trail(driver error) I haven't scene the need to follow up on it yet.