# Datastructure

A multi-cell polyhedron $$\Gamma^{\perp}$$ and its corresponding polyhedral form diagram $$\Gamma$$ are modelled as volmesh and network, respectively. Because $$\Gamma^{\perp}$$ and $$\Gamma$$ are topologically dual to each other, $$\Gamma$$ can also be modelled as a volmesh. However, because the topological information of $$\Gamma$$ is embedded in $$\Gamma^{\perp}$$, some information do not need to be duplicated. For example, the face and cell information of $$\Gamma$$ can be computed from the topology of $$\Gamma^{\perp}$$. The polyhedral form diagram $$\Gamma$$ as a network is essentially a visualisation of the cell connectivity information of $$\Gamma^{\perp}$$, where each edge of $$\Gamma$$ is perpendicular to its corresponding face of $$\Gamma^{\perp}$$.