There are infinite Imaginarisms and symmetries. Symmetries are limited to Signfield and hypothetical forms, not Itlogic.
Positive symmetry contains real things, it-real things, it(lock)-real things, etc. It is the starting point in all.
Negative asymmetry is Imaginarism, which is fiction. It is also "imaginative," and not bonded to symmetry.
Signless symmetry is neither real or imaginary; just any tertiary state. Symmetries containing only zeroids are the weakest Imaginarisms.
Supersign symmetries are stronger counterparts. Super-asymmetry would be meta-fiction, super^2-asymmetry would be meta^2-fiction, etc. Absolute omni-asymmetry is meta^Ω-fiction on maximal extent.
On the polar opposite, supersymmetry is re-reality that ignores meta-fiction laws. If they thought to be re-real beyond it, they would immediately sent to meta^2-fiction. Absolute omni-symmetry is re^Ω-ality on maximal extrent, which is thought to be limitless.
i-symmetries are both real and Imaginarism at the same time. The triad sign 𝛶n is independent in this type.
𝛶_n-asymmetries are fictional Imaginarisms, as counterparts to negative.