An Evolutionary Structure of Convex Quadrilaterals. Part III

We introduce an evolutionary structure of Euclidean networks for boundary convex quadrilaterals in the two dimensional Euclidean space (botanological network) which has two roots, one main branch and two branches. A botanological network is a weighted full Steiner tree which is enriched by a collection of instantaneous images of the process of photosynthesis, by assuming mass flow continuity.