A first report of unveiling the fractality and fractal nature of severe acute respiratory syndrome coronavirus (SARS CoV-2) responsible for the pandemic disease widely known as coronavirus disease 2019 (COVID 19) is presented. The fractal analysis of the electron microscopic and atomic force microscopic images of 40 coronaviruses (CoV), by the normal and differential box-counting method, reveals its fractal structure. The generalised dimension indicates the multifractal nature of the CoV. The higher value of fractal dimension and lower value of Hurst exponent (H) suggest higher complexity and greater roughness. The statistical analysis of generalised dimension and H is understood through the notched box plot. The study on CoV clusters also confirms its fractal nature. The scale-invariant value of the box-counting fractal dimension of CoV yields a value of 1.820. The study opens the possibility of exploring the potential of fractal analysis in the medical diagnosis of SARS CoV-2.

中文翻译：

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SARS CoV-2 是多重分形吗？——揭示分形和分形结构

第一份报告揭示了导致 2019 年冠状病毒病 (COVID 19) 的大流行病的严重急性呼吸系统综合症冠状病毒 (SARS CoV-2) 的分形和分形性质。40 种冠状病毒 (CoV) 的电子显微镜和原子力显微镜图像的分形分析，通过正常和差分盒计数方法，揭示了其分形结构。广义维度表明了 CoV 的多重分形性质。分形维数的较高值和 Hurst 指数 (H) 的较低值表明更高的复杂性和更大的粗糙度。广义维度和 H 的统计分析可以通过带缺口的箱线图来理解。对 CoV 簇的研究也证实了其分形性质。CoV 的 box-counting 分形维数的尺度不变值为 1.820。该研究开启了探索分形分析在 SARS CoV-2 医学诊断中的潜力的可能性。