39 lines
799 B
Python
39 lines
799 B
Python
import numpy as np
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import matplotlib.pyplot as plt
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def s2n(s1n):
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return np.sqrt(2 - 2 * np.sqrt(1 - ((s1n ** 2) / 4)))
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def s2n_new(s1n):
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return np.sqrt((s1n ** 2) / (2 * (1 + np.sqrt(1 - ((s1n ** 2) / 4)))))
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r = int(1) #Radius
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n = int(6) #Anzahl Ecken
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sn = r
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sn_new = r
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x = np.array([])
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y = np.array([])
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y_new = np.array([])
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for i in range(50):
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sum_s = sn * n
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sum_s_new = sn_new * n
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pi = sum_s / 2
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pi_new = sum_s_new / 2
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print("n: ", n, " sn: ", sn_new, " pi: ", pi_new)
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x = np.append(x, n)
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y = np.append(y, pi)
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y_new = np.append(y_new, pi_new)
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n = n * 2
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sn = s2n(sn)
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sn_new = s2n_new(sn_new)
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plt.plot(x, y)
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plt.plot(x, y_new)
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plt.xscale('log', base=2)
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plt.xlim((2**3, 2**31))
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plt.ylim((3.125, 3.15))
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plt.legend(["pi", "pi_new"])
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plt.show() |