Those aren't sigils. They're Magic Circles. A sigil by the AOS method encodes a command into a graphic symbol in order to systematically remove it from the physical world and force it into the esoteric. It's a very common technique in Chaos Magick so it's easy to find a lot of information on it.
A magic circle like those seen in FMA attract and contain magic in order to focus it. The ones seen in the anime are fictional and subject to the whims of the artists. Historical magic circles were much simpler, though they could be embellished with additional symbols. The logic of the series must assume that the more complicated circles encode information about the desired form of the transmutation.
Never doubt that a small group of thoughtful, committed citizens can change the world. Indeed, it is the only thing that ever has. --Margaret Mead
There's a mugged leprechaun at the end of every rainbow. --shortpacked.com
A good magician never reveals how a trick is done.
An evil magician never leaves any evidence that there was a trick in the first place.
---Master Payne (Phil Foglio's Girl Genius)
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