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