Experimental visually-guided investigation of sub-structures in three-dimensional Turing-like patterns
M. Skrodzki (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Ulrich Reitebuch (Freie Universität Berlin)
Eric Zimmermann (Freie Universität Berlin)
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Abstract
In this paper, we are interested in classifying the different arising (topological) structures of three-dimensional Turing-like patterns. By providing examples for the different structures, we confirm a conjecture regarding these structures within the setup of three-dimensional Turing-like pattern. Furthermore, we investigate how these structures are distributed in the parameter space of the discrete model. We found twofold versions of so-called "zero-" and "one-dimensional" structures as well as "two-dimensional" structures and use our experimental findings to formulate several conjectures for three-dimensional Turing-like patterns and higher-dimensional cases.