Abstract
Labyrinthine patterns are observed in systems as diverse as animal coats, slime mold colonies, fish scales, and cloud streets. However, even under well-controlled conditions, repetition of an experiment gives structures with vastly different details. A theoretical analysis of ``universal'' aspects of patterns requires a quantitative description that gives similar values for distinct configurations. We introduce a function to characterize the ``disorder'' of labyrinthine patterns that is the same for structures generated under identical control parameters. Furthermore, patterns with different visual characteristics are described by distinct functions.
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