Following Verde-Star [Linear Algebra Appl. 627 (2021), pp. 242–274] we label families of orthogonal polynomials in the
q
q
-Askey scheme together with their
q
q
-hypergeometric representations by three sequences
x
k
,
h
k
,
g
k
x_k, h_k, g_k
of Laurent polynomials in
q
k
q^k
, two of degree 1 and one of degree 2, satisfying certain constraints. This gives rise to a precise classification and parametrization of these families together with their limit transitions. This is displayed in a graphical scheme. We also describe the four-manifold structure underlying the scheme.