Boat (drawing)

Boat is a set of boat-like works of mathematical art introduced by mathematical artist Hamid Naderi Yeganeh.[2][3][4][5][6]

An example of Boat[1]

The work is defined by trigonometric functions. One instance is composed of 2000 line segments where for each ${\displaystyle k=1,2,3,\ldots ,2000}$ the endpoints of the k-th line segment are:

${\displaystyle \left(\cos \left({\frac {6\pi k}{2000}}\right)-i\cos \left({\frac {12\pi k}{2000}}\right)\right)e^{\frac {3\pi i}{4}}}$

and

${\displaystyle \left(\sin \left({\frac {4\pi k}{2000}}+{\frac {\pi }{8}}\right)+i\sin \left({\frac {2\pi k}{2000}}+{\frac {\pi }{3}}\right)\right)e^{\frac {3\pi i}{4}}}$.[7][8][9][10]

See also

• A Bird in Flight

References

1. ""Boat," by Hamid Naderi Yeganeh". American Mathematical Society. September 16, 2015. Retrieved October 9, 2015.
2. "Mathematical Concepts Illustrated by Hamid Naderi Yeganeh". American Mathematical Society. November 2014. Retrieved October 9, 2015.
3. Bellos, Alex (February 24, 2015). "Catch of the day: mathematician nets weird, complex fish". The Guardian.
4. "About IMKT". International Mathematical Knowledge Trust. Retrieved 24 February 2020.
5. Gustlin, Deborah. "15.4: Digital Art". LibreTexts. Retrieved 19 March 2020.
6. "수학적 아름다움, 프랙털 아트의 세계" [Mathematical beauty, the world of fractal art]. Sciencetimes (in Korean). 8 December 2020. Archived from the original on 8 December 2020. Retrieved 8 December 2020.
7. Naderi Yeganeh, Hamid (September 11, 2015). "Importing Things From the Real World Into the Territory of Mathematics!". Huffington Post (blog).
8. Mellow, Glendon (August 6, 2015). "Mathematically Precise Crosshatching". Scientific American (blog).
9. Knowles, Elizabeth (February 3, 2016). "When Math Transforms into Art". The Science Explorer.
10. "数学原来可以这么美" (in Chinese). Institute of Semiconductors. Chinese Academy of Sciences. 5 March 2019. Archived from the original on 25 December 2020. Retrieved 25 December 2020.