Morphology,Crossing Points and Partial Fitting of Hypocycloids
The paper classifies hypocycloids based on two characteristic relationships(the ratios of the radii of the rolling and fixed circles,as well as the relationship between the axis length and the radius of the rolling circle).It examines the monotonicity,convexity,and other morphological characteristics of different categories of hypocycloids,offers a formula for determining the number of crossing points of a hypocycloid and suggests a method for partially fitting the inner contour of a given hypocycloid using a new one.
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