There are many ways to frag corals:
Softies can be anchored down with elastics, needle and thread, or as mentioned netting wrap. Softies cannot be glued or epoxied due to there soft tissue, they will simply let go so you need to use the above methods or place rubble rock around the softie(mushroom for eg) and let it spread naturally. You could also sandwich the softie between two pieces of base rock so that the coral will be forced to spread one way or the other. My mushroom tip is at the bottom of this reply.
LPS/SPS are the corals that usually get glued, drilled, or epoxied.
Stoney corals can be easier or harder to mount depending on the species and what you are mounting it on. Although because the have a hard skeleton it's usually much easier to mount these corals over softies. It's a matter of having good fragging glue/aquarium safe epoxy, base rock, some cutting tools and a delicate touch.
Do a search of "methods of fragging" for more info, there's tons of information out there, and a few online magazines such as Reefkeeping.com and Advanced Aquarist.com have great articles or tips written on this subject.
Mushroom tip-when I kept mushrooms, I use to frag them by putting a whole bunch of small pieces of rock in a small container with a bunch of mushrooms that I sliced in half with a razor blade. I kept the container in the main tank with a clear lid ontop and some small holes drilled in the sides for circulation. After a week or two I would have 10-15 new small frags of mushroom rock.
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