Is it possible for a hash function, SHA256 for example, to be a cyclic hash function, where the hash of the hash returns the original value?
Example:
SHA256(a) = b
SHA256(b) = a
Or in another form:
SHA256(SHA256(a)) = a
A math example would be
f(x) = 1/x
because f(5) = 1/5, and f(1/5) return the original 5. f(f(5)) = 5.