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2000 lines

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Submitted by Marianne on 17 December, 2014

Our image of the week is made of 2000 line segments!

Image by Hamid Naderi Yeganeh.

The image was created by Hamid Naderi Yeganeh running programs on a Linux operating system. Letting $n$ run from $1$ to $2000,$ the end points (given as coordinates in the plane) of each line segment are

  \[ \left(\left(\sin {\left(\frac{12\pi n}{2000}\right)}\right)^3, \left(\cos {\left(\frac{10\pi n}{2000}\right)}\right)^3\right) \]    

and

  \[ \left(\left(\sin {\left(\frac{8\pi n}{2000}\right)}\right)^3, \left(\cos {\left(\frac{6\pi n}{2000}\right)}\right)^3\right) \]    

You can see more of Hamid's images on this website and on the American Mathematical Society website.

You can see previous images of the week here.

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