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• W3100996839 abstract "From solar supergranulation to salt flat in Bolivia, from veins on leaves to cells on Drosophila wing discs, polygon-based networks exhibit great complexities, yet similarities persist and statistical distributions can be remarkably consistent. Based on analysis of 99 polygonal tessellations of a wide variety of physical origins, this work demonstrates the ubiquity of an exponential distribution in the squared norm of the deformation tensor, $E^{2}$, which directly leads to the ubiquitous presence of Gamma distributions in polygon aspect ratio. The $E^{2}$ distribution in turn arises as a $chi^{2}$-distribution, and an analytical framework is developed to compute its statistics. $E^{2}$ is closely related to many energy forms, and its Boltzmann-like feature allows the definition of a pseudo-temperature. Together with normality in other key variables such as vertex displacement, this work reveals regularities universally present in all systems alike" @default.
• W3100996839 created "2020-11-23" @default.
• W3100996839 creator A5021809579 @default.
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• W3100996839 date "2020-02-25" @default.
• W3100996839 modified "2023-09-27" @default.
• W3100996839 title "E2 distribution and statistical regularity in polygonal planar tessellations" @default.
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• W3100996839 hasPublicationYear "2020" @default.
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