Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2D Hexagonal Cellular Automata: The Complexity of the Forms   We created two dimensional hexagonal cellular automata to obtain complexity.
Considering the game of life rules, Wolfram's works about life-like structures
and John von Neumann's self-replication, self-maintenance, self-reproduction
problems, we developed 2-states and 3-states hexagonal growing algorithms that
reach large populations through random initial states. Unlike the game of life,
we used six neighbourhoods cellular automata instead of eight or four
neighbourhoods. First simulations explained that whether we are able to obtain
sort of oscillators, blinkers, and gliders. Inspired by Wolfram's 1D cellular
automata complexity and life-like structures, we simulated 2D synchronous,
discrete, deterministic cellular automata to reach life-like forms with
2-states cells. The life-like formations and the oscillators have been
explained how they contribute to initiating self-maintenance together with
self-reproduction and self-replication. After comparing the simulation results,
we decided to develop the algorithm for another step. Appending a new state to
the same algorithm, that we used for reaching life-like structures, led us to
experiment new branching and fractal forms. All these studies tried to
demonstrate that complex life forms might come from uncomplicated rules.

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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an