Categoricity for Patterns of Order 2
Timothy Carlson
TL;DR
This paper proves a categoricity theorem for order 2 patterns, demonstrating that the sequence of pattern emergence is consistent across various hierarchies.
Contribution
It introduces a categoricity result for order 2 patterns, revealing a uniform order of pattern development in diverse hierarchical structures.
Findings
Order in which patterns arise is the same across hierarchies.
Establishes a categoricity theorem for order 2 patterns.
Shows consistency in pattern emergence order.
Abstract
A categoricity theorem is established for patterns of resemblance of order 2 showing that the order in which patterns arise in a wide range of hierarchies is the same.
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Taxonomy
TopicsCellular Automata and Applications · Quasicrystal Structures and Properties · Theoretical and Computational Physics