Painting with Primes
galerie
Painting with Primes
Using primes, I constructed some polygonal lines of interesting shapes. The inclination angle of each section of the polygonal line follows a simple function including primes. Starting with prime 3, I took one thousand primes to create polygonal lines with one thousand sections. By variation of one parameter, different polygonal lines can be generated each with different patterns of very specific characteristics.
Lines are combined with special functions to generate colorful surroundings.
Formule
- \varphi_{i+1} = \varphi_i + \frac{3\pi}{5} p^2_i
Prime Painting No 1
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{\pi}{5} p^2_i
Prime Painting No 2
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{2\pi}{5} p^2_i
Prime Painting No 3
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{\pi}{8} p^2_i
Prime Painting No 4
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{3\pi}{8} p^2_i
Prime Painting No 5
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{7\pi}{8} p^2_i
Prime Painting No 6
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{\pi}{10} p^2_i
Prime Painting No 7
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{3\pi}{10} p^2_i
Prime Painting No 8
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{7\pi}{10} p^2_i
Prime Painting No 9
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{9\pi}{10} p^2_i
Prime Painting No 10
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{\pi}{20} p^2_i
Prime Painting No 11
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{3\pi}{20} p^2_i
Prime Painting No 12
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{7\pi}{20} p^2_i
Prime Painting No 13
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{9\pi}{20} p^2_i
Prime Painting No 14
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{11\pi}{20} p^2_i
Prime Painting No 15
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{13\pi}{20} p^2_i
 |
Prime Painting No 16
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{17\pi}{20} p^2_i
Prime Painting No 17
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{19\pi}{20} p^2_i
Prime Painting No 18
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{\pi}{24} p^2_i
Prime Painting No 19
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{5\pi}{24} p^2_i
Prime Painting No 20
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{13\pi}{24} p^2_i
Prime Painting No 21
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{17\pi}{24} p^2_i
Prime Painting No 22
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{19\pi}{24} p^2_i
Prime Painting No 23
Licence CC BY-NC-SA-3.0
Formule
- \varphi_{i+1} = \varphi_i + \frac{23\pi}{24} p^2_i
Prime Painting No 24
Licence CC BY-NC-SA-3.0
