Morphogenesis of 3D sheets exploiting a spatial condition

Abstract

This article reports on the morphogenesis of three-dimensional folding sheets in a computer simulation. In order to exploit the topology of these cellular sheets, we introduced a cell connection map, which can prescript cell connections regardless of the changing number of cells. We show that morphogenetic patterns such as exponential growth, self-replication processes, and annihilation processes can easily be realized just by observing the number of neighbors of each cell. That means that this feat is achieved in a distributed and autonomous way