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Artificial Chemistries$
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Wolfgang Banzhaf and Lidia Yamamoto

Print publication date: 2015

Print ISBN-13: 9780262029438

Published to MIT Press Scholarship Online: September 2016

DOI: 10.7551/mitpress/9780262029438.001.0001

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The Matrix Chemistry as an Example

The Matrix Chemistry as an Example

Chapter:
(p.45) Chapter 3 The Matrix Chemistry as an Example
Source:
Artificial Chemistries
Author(s):

Wolfgang Banzhaf

Lidia Yamamoto

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262029438.003.0003

This chapter discusses an in-depth example of an Artificial Chemistry. This algorithmic chemistry is based on the matrix calculus of Mathematics and is used to explore the simplicity of AC formalisms, together with the rich complexity of the resulting chemistry. It starts with the general formalism and then discusses the most simple non-trivial example of a chemistry based on 2x2 matrices of the N=4 system. Next is the considerably more complex 3x3 matrices N=9 system, with already 511 different species. After introducing higher N systems, including a mutation operation, the chapter concludes with an summary.

Keywords:   Algorithmic chemistry, Binary strings, Matrix chemistry, Mutation, Ribozyme, RNA, Self-replicating sequences, String chemistry

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