Fig. 7.

Assuming that the cells are coupled as in figure 5 (left), the given pattern is neither $P^{{\mu }_1},P^{{\mu }_k}$, nor $P^{{\mu }_1}\oplus P^{{\mu }_k}$. Barring the degenerate case that the critical pattern space is ${\mathbb{R}}^n$, by Theorem 12 we must have that $\text{det}\left(\mathbf{R}\right)>0$, so the development is generically due to a chemical signaling network with either of the connections on the right