Sunset at the Sea of Primes
갤러리
Sunset at the Sea of Primes
이 갤러리의 그림들은 실수축 위의 소수(prime)들을 영점으로 갖는 복소함수의 화려한 시각화를 보여줍니다. 공식은 아래에 소개됩니다.
관련 영상 링크:
http://youtu.be/pkJ0GoFsBqs
http://youtu.be/trOkyzhb2RY
http://youtu.be/MDx5W4MaIcI
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/01_prim-25-25.png?itok=GqZCtUQJ)
공식
- f(z) = \left| 2 - \sum\limits^\infty_{k=1} \frac{1}{k} \frac{e^{2 \pi i z}-1}{ e^{2 \pi i z / k}-1} \right|
Sunset at the Sea of Primes
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/02_prim40_3.png?itok=BbQs-izw)
Sunset at the Sea of Primes (detail)
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/03_one-sided40_3.png?itok=lxSCYIsu)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/04_one-sided80_3.png?itok=Kru-YvwZ)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/05_spiral-3-3.png?itok=0LYcNUEM)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/06_spiral-10-10.png?itok=Go-GlYws)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/07_spiral-20-20.png?itok=KlO_Sz_x)
Prime Spiral 3
저작권 CC BY-NC-SA-3.0
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/08_spiral-40-40.png?itok=U3igNfz_)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/09_tspiral40_pi.png?itok=oTipJbMC)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/10_tspiral20_pi.png?itok=U6g33MG7)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/11_tspiral20_pi3.png?itok=Ceb5ljQN)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/12_tspiral20_pi8.png?itok=pr45FDQ1)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/13_tspiral10_pi8.png?itok=MCBf5NBR)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/14_tspiral050_0.3132.png?itok=hmYBEWoa)
![](https://www.imaginary.org/sites/default/files/styles/gallery-full/public/15_tspiral025_0.3132.png?itok=2Zb7eCfy)