There is a bijection between the sets of $(\sigma,\tau)$-type split Monge-Ampère solutions on a domain $R$ and $(\sigma,\tau)$-type Monge-Ampère bi-PIKAS on $R$. The Riemannian metric on $R^{\circ}:=R\setminus\Pi(sigma)\times\Pi(\tau)$ is given by $V^{ij}ds_{i}ds_{j}+W^{pq}dt_{p}dt_{q}$, where $(V^{ij},W^{pq})$ is the corresponding split MA solution.