# Planar Trivalent Network Growth Using Two Rewrite Rules

Planar Trivalent Network Growth Using Two Rewrite Rules

Explore various growth patterns for planar trivalent networks ("trinets") by assigning values to three parameters of a network mobile-automaton algorithm.

The model is somewhat similar to two-dimensional Turing machines, except that the nodes in the network do not carry any value and only control updates to the local structure of the trinet, while moving by small steps. The initial trinet is fixed: a graph with two nodes and three parallel edges connecting them.