page_title: Boat (drawing)
hierarchical_section_title: Boat (drawing)
caption_attribution_description: English: This figure is like a sailing boat. It shows 2,000 line segments. For each k = 1 , 2 , 3 , . . . , 2000 {\displaystyle k=1,2,3,...,2000} the endpoints of the k {\displaystyle k} -th line segment are: ( cos &#x2061; ( 6 &#x03C0; k 2000 ) &#x2212; i cos &#x2061; ( 12 &#x03C0; k 2000 ) ) e 3 &#x03C0; i 4 {\displaystyle \left(\cos \left({\frac {6\pi k}{2000}}\right)-i\cos \left({\frac {12\pi k}{2000}}\right)\right)e^{\frac {3\pi i}{4}}} and ( sin &#x2061; ( ( 4 &#x03C0; k 2000 ) + ( &#x03C0; 8 ) ) + i sin &#x2061; ( ( 2 &#x03C0; k 2000 ) + ( &#x03C0; 3 ) ) ) e 3 &#x03C0; i 4 {\displaystyle \left(\sin \left(\left({\frac {4\pi k}{2000}}\right)+\left({\frac {\pi }{8}}\right)\right)+i\sin \left(\left({\frac {2\pi k}{2000}}\right)+\left({\frac {\pi }{3}}\right)\right)\right)e^{\frac {3\pi i}{4}}} .
context_page_description: Boat is a set of boat-like works of mathematical art introduced by mathematical artist Hamid Naderi Yeganeh.
  The work is defined by trigonometric functions. One instance is composed of 2000 line segments where for each the endpoints of the k-th line segment are:
  and
  .
context_section_description: Boat is a set of boat-like works of mathematical art introduced by mathematical artist Hamid Naderi Yeganeh.
  The work is defined by trigonometric functions. One instance is composed of 2000 line segments where for each  the endpoints of the k-th line segment are:
  and
  .
caption: An example of Boat[1]
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