Statistical law of variable curvature characteristics on the inside profile of the vole’s clawed toes

Abstract

The statistical law of inside profile curves data points which vole’s clawed toes had been analyzed. The least squares method was used to analyze the inside profile curves data points for fitting mathematical model and fitting curves were expressed by polynomial equations. The statistical law of the vole’s clawed toes shows that: from the end of toes’ bodies to the tiptoes at the clawed toes, there are four extreme points which changes alternately two times, that is, there are two maximum points and two minimum points, and the abscissa of each extreme point is very concentration, near the first extreme (minimum) point was taken as the base point, the second extreme (maximum) point is located near the 43.36% of the clawed toe’s abscissa, and the third extreme point (minimum) is located near the 73.49% of the clawed toe’s abscissa. According to the curvature statistics of four extremes, the extremum points of the curvature are more concentrated except for the third extreme point (minimum). From the macroscopic morphology view of the each curvature trendline, the each curvature trendline has obvious fluctuation characteristics, the curvature trendline of the posterior left thumb and the anterior right thumb are most obvious, the curvature trendline of the posterior right index finger is relatively small. This study are contributive to revealing the intrinsic geometric characteristics of voles’ clawed toes contact with soil surface, and directing the efficient and energy-saving design of soil tillage components with similar functions.