Bio

Maxim is currently studying astrophysics and particle physics as an undergraduate student in Moscow State University, and he wants to understand what is going on out there in the universe. In particular he was impressed with the idea of network systems and wants to use them to construct the fundamental theory of physics.

In his leisure time, Maxim sometimes plays piano and composes music.

Project: Evolution of Planar(?) Network Systems

The ultimate goal is to figure out the fundamental theory of physics.

The most plausible rule space for this is the space of network systems (see Chapter 9 of NKS). So the idea is to explore such systems a little further.

Let’s start with a hexagonal grid:

We can evolve this grid using a rule like the following one:

After 10 random applications of the rule, the grid looks like:

After 1000:

If we continue, the grid will come into an equilibrium:

My goal is to enumerate the evolution rules and study properties of equilibria resulting from them (for example, the distribution of face sizes).

References

Wolfram, S. “Fundamental Physics.” In A New Kind of Science. Wolfram Media, Inc., 2002.

Favorite Outer Totalistic r=1, k=2 2D Cellular Automaton

Rule 28503