Aromaticity requires that there be alternating pi bonds (double bonds) and that there be 4n + 2 pi electrons (two for each double bond) where n is a
positive integer. This ends up giving a pattern of: 2, 6, 10, 14, 18, ... So, for example, benzene is aromatic because it has 6 pi
electrons/orbitals (4*1 + 2 = 6). Cyclobutadiene is anti-aromatic because 4n + 2 can never equal 4. See "Huckel's Rule".
Just look for alternating double bonds in a ring first, then check it against that rule to determine if it's aromatic or not.
Of course, it gets a bit more complicated when you get into larger ring systems but I think this explanation is just fine for now.
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