This paper continues the investigation of representations of continuous functions f(x1, …, xn) with n ≥ 2 in the form f(X1,…,Xn) = ∑2nq=0Φq[∑np=1λ1ψ(xp + qen with a predetermined function ψ that is independent of n. The function ψ is defined through its graph that is the limit point of iterated contraction mappings. The functions ψ and Φq are the uniform limits of sequences of computable functions constructed with a fixed mapping σ, which itself can be approximated with sigmoid functions.