<center><a href='https://d.tube/#!/v/mathsolver/rbkp6tjd'><img src='https://ipfs.io/ipfs/QmUk6N34snYkrTawMgzCy5ywgBoqMaguqhRmdiPYWjo5rg'></a></center><hr>

In mathematics, particularly geometry, Viviani's curve, also known as Viviani's window, is a figure eight shaped space curve named after the Italian mathematician Vincenzo Viviani, the intersection of a sphere with a cylinder that is tangent to the sphere and passes through the center of the sphere. The generalization of Viviani's curve is Clelie curve. The parametrization of this particular curve is given by 

<center> <img src="http://latex.codecogs.com/gif.latex?\begin{cases}&space;x&space;=&space;a&space;\sin(m\theta)\cos(\theta)&space;\\&space;y&space;=&space;a&space;\sin(m\theta)\sin(\theta)&space;\\&space;z&space;=&space;a&space;\cos(m\theta)&space;\end{cases}" title="\begin{cases} x = a \sin(m\theta)\cos(\theta) \\ y = a \sin(m\theta)\sin(\theta) \\ z = a \cos(m\theta) \end{cases}" /> </center>

where a = 6, m = 0.0164

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