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----------------------------------------------------------------------- One Dimensional Substitution Viewer - Orion Sehn 2021 ----------------------------------------------------------------------- This project seeks to understand and provide a means to display and explore 1 - dimensional substitution tilings. The program includes a small set of substitution tilings, as well as means to view information and different diagrams of them. You can also define other 1 dim - substitutions. References: [1] Baake M., Grimm U, Aperiodic Order: Volume 1, A Mathematical Invitation , Cambridge University Press, 2013. [2] Baake M., Grimm U., The singular continuous diffraction measure of the Thue-Morse chain, J. Phys. A: Math. Theor. 41, 1-6, 2008. [3] Baake M., Spindeler T. Strungaru N., Diffraction of compatible random substitutions in one dimension , Indag. Math. 29, 1031-10711, 2018. [4] Baake M., Strungaru N., Eberlein decomposition for PV inflation systems , preprint, 2020. [5] Richard C., Strungaru N., Pure point diffraction and Poisson summation , Ann. Henri Poincare 18, 3903–3931, 2017. [6] Richard C., Strungaru N., A short guide to pure point diffraction in cut-and-project sets , J. Phys. A: Math. Theor. 50, 2017. [7] Strungaru N., On the Fourier analysis of measures with Meyer set support , J. Funct. Anal. 278, 2020. [8] D. Frettlöh, E. Harriss, F. Gähler: Tilings encyclopedia, https://tilings.math.uni-bielefeld.de/
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A tool for mathematics research for visualizing diffraction of substitution tilings.
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