hypocycloid

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hypocycloid

[¦hī·pō′sī‚klȯid]
(mathematics)
The curve which is traced in the plane as a given point fixed on a circle moves while this circle rolls along the inside of another circle.
References in periodicals archive ?
The peaks of the piston are given by the intersection between a mobile circle, of c radius with the center at the point M and the hypocycloid of the carcass.
In conclusion, by composing of two movements of plane rotation (in the same plane), a generating point M of a circular rolling curve described as a cinematic trajectory C a hypocycloid with the condition to respect the [R.
The aspects shown in this paper represent original contributions concerning the cinematic generation of the hypocycloid curves used as generatrix G at the generation of the type cycloid denture from the watches industry.
b, to obtain a hypocycloid curve with a square aspect, is necessary to ensure the following two conditions:
In this situation we will use at our solution a larger value for term a (a > r), that can generate a 4 leaves hypocycloid as in figure 4.
max], between the hypocycloid and the desired square, we are doing some consideration related at figure 6, where the curves are deformated to emphasis the error.