Aperiodic array generation

Version 1.3.0.0 (5.58 KB) by ben payne
Functions to create aperiodic 1D, 2D arrays from Thue-Morse, Fibonacci, Rudin-Shapiro algorithms
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Updated 13 Apr 2012

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Aperiodic 1D and 2D binary arrays from Thue-Morse, Fibonacci, Baum-Sweet, Paper-Folding (Dragon curve), and Rudin-Shapiro algorithms are generated based on user input.

Thue-Morse: g(A)=AB, g(B)=BA
Fibonacci: g(A)=AB, g(B)=A
Paper-Folding: g(AB)=AABA, g(BA)=ABBA, g(AB)=AABB, g(BB)=ABBB
Baum-Sweet: g(BB)=BBBB, g(BA)=ABBA, g(AB)=BABB, g(AA)=AABA
Rudin-Shapiro: g(A)=AC, g(B)=DC, g(C)=AB, g(D)=DB

See Macia, "The role of aperiodic order in science and technology" Rep. Prog. Phys. v69 (2006).

Cite As

ben payne (2026). Aperiodic array generation (https://in.mathworks.com/matlabcentral/fileexchange/28474-aperiodic-array-generation), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2008b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.3.0.0

new sequences added
functional form used with sanity checking on inputs
1.1.0.0

Improved error handling for inputs, correction to output file name.
1.0.0.0