Painting with Primes
galería
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.
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{3\pi}{5} p^2_i
Prime Painting No 1
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{\pi}{5} p^2_i
Prime Painting No 2
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{2\pi}{5} p^2_i
Prime Painting No 3
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{\pi}{8} p^2_i
Prime Painting No 4
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{3\pi}{8} p^2_i
Prime Painting No 5
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{7\pi}{8} p^2_i
Prime Painting No 6
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{\pi}{10} p^2_i
Prime Painting No 7
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{3\pi}{10} p^2_i
Prime Painting No 8
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{7\pi}{10} p^2_i
Prime Painting No 9
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{9\pi}{10} p^2_i
Prime Painting No 10
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{\pi}{20} p^2_i
Prime Painting No 11
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{3\pi}{20} p^2_i
Prime Painting No 12
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{7\pi}{20} p^2_i
Prime Painting No 13
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{9\pi}{20} p^2_i
Prime Painting No 14
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{11\pi}{20} p^2_i
Prime Painting No 15
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{13\pi}{20} p^2_i
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Prime Painting No 16
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{17\pi}{20} p^2_i
Prime Painting No 17
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{19\pi}{20} p^2_i
Prime Painting No 18
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{\pi}{24} p^2_i
Prime Painting No 19
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{5\pi}{24} p^2_i
Prime Painting No 20
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{13\pi}{24} p^2_i
Prime Painting No 21
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{17\pi}{24} p^2_i
Prime Painting No 22
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{19\pi}{24} p^2_i
Prime Painting No 23
Licencia CC BY-NC-SA-3.0
Fórmula
- \varphi_{i+1} = \varphi_i + \frac{23\pi}{24} p^2_i
Prime Painting No 24
Licencia CC BY-NC-SA-3.0
