(Enset, a.k.a. “false banana”) an underutilised food security crop
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Interesting that the fruit is inedible; it's the roots and stalk that are used.
With some wild-gathered edible bulbs, the act of digging up the central bulb ends up fragmenting offsets (and pushing them a bit away from the former center of mass). For those plants that have co-evolved with humans, like cammassia, it's claimed that over the long run you get more and healthier plants by this sort of selective harvesting.
There are also plants that can grow from root divisions, including a few noteworthy pernicious weeds. Digging up 'the plant' invariably leaves some rather large side roots in the ground, several of which might become independent plants, again radiating out from the original central stalk. I have the vaguest of recollection that burdock has this quality, but don't quote me on that. Comfrey definitely does this but it's not really edible, root or stalk (it has some nasty oil soluble alkaloids that your liver will not appreciate).