I really expected a wood(en) frog here, qualifying truly as a biological miracle. But the wood frogs are cool as well.
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Bamboo is a grass and doesn't come from a tree. Palm wood comes from palm trees, except palm tree trunks are apparently a totally different type of structure than other tree trunks, sounds closer to Papyrus. No growth rings, a fiber type structure. Is Papyrus wood?
Any plant matter above a certain density? I don't think that's it. Corn stalks aren't wood.
Man, I don't know. I am certain that it must be plant matter though, so yes, a wooden frog would be a biological miracle.