The Statistics Analysis and Mathematical Analogy of Unsmoothed Geometrical Units on the Surface of Soil Animal
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Abstract
Based on the statistics, the trait parameters, distribution characteristics, and numerical relationship are analyzed for scientifically using the positive results of reducing soil adhesion and resistance, which have been achieved by soil animals through evolution and optimization. The quantitative relation which can truly describe the distribution of unsmoothed geometrical units is studied. Then a mathematical model about the imitated unsmoothed surface of the dung beetle, in which the position of geometrical units follows the uniform distribution and the trait sizes follow the Gaussian distribution, is built up. A computer analogue software is programmed to lay a foundation for more reasonably bionic morphology reform on the soil-engaging components.
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