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⚪∣❁∣⚪✤⚪✻⚪ЭЄ⚪ᗩ⚪ߦ⚪റ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪റ⚪ߦ⚪ᗩ⚪ЭЄ⚪✻⚪✤⚪∣❁∣⚪/⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᑐᑕ⚪ИN⚪ᑎ⚪ꗳ⚪◯⚪ᔓᔕ⚪ᑎ⚪ꖴ⚪⚭⚪ᗩ⚪ꗳ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ꗳ⚪ᗩ⚪⚭⚪ꖴ⚪ᑎ⚪ᔓᔕ⚪◯⚪ꗳ⚪ᑎ⚪ИN⚪ᑐᑕ⚪✤⚪ꖴ⚪Ⓞ⚪ИN⚪/⚪ᗱᗴ⚪ᴥ⚪ᑎ⚪✤⚪ᗩ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗩ⚪✤⚪ᑎ⚪ᴥ⚪ᗱᗴ⚪/⚪ᔓᔕ⚪ᴥ⚪ᗱᗴ⚪ИN⚪ᴥ⚪Ⓞ⚪ᑐᑕ⚪◯⚪✤⚪옷⚪ᕤᕦ⚪ꖴ⚪ᗩ⚪ᴥ⚪✤⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪✤⚪ᴥ⚪ᗩ⚪ꖴ⚪ᕤᕦ⚪옷⚪✤⚪◯⚪ᑐᑕ⚪Ⓞ⚪ᴥ⚪ИN⚪ᗱᗴ⚪ᴥ⚪ᔓᔕ⚪/YP.⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᗩ⚪ᙏ⚪ꖴ⚪ꕤ⚪Ⓞ⚪ᴥ⚪ߦ⚪ᗩ⚪◯⚪ᙁ⚪ᗩ⚪ꖴ⚪✤⚪ИN⚪ᗱᗴ⚪ИN⚪Ⓞ⚪ߦ⚪ꕤ⚪ᗱᗴ⚪◯⚪ᗱᗴ⚪ᙁ⚪ᑐᑕ⚪ᴥ⚪ꖴ⚪ᑎ⚪¤⚪ᔓᔕ⚪◯⚪ᗱᗴ⚪ᴥ⚪ᑎ⚪✤⚪ᗩ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◯⚪ᔓᔕ⚪ᑎ⚪ꖴ⚪⚭⚪ᗩ⚪ꗳ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ꗳ⚪ᗩ⚪⚭⚪ꖴ⚪ᑎ⚪ᔓᔕ⚪◯⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗩ⚪✤⚪ᑎ⚪ᴥ⚪ᗱᗴ⚪◯⚪ᔓᔕ⚪¤⚪ᑎ⚪ꖴ⚪ᴥ⚪ᑐᑕ⚪ᙁ⚪ᗱᗴ⚪◯⚪ᗱᗴ⚪ꕤ⚪ߦ⚪Ⓞ⚪ИN⚪ᗱᗴ⚪ИN⚪✤⚪ꖴ⚪ᗩ⚪ᙁ⚪◯⚪ᗩ⚪ߦ⚪ᴥ⚪Ⓞ⚪ꕤ⚪ꖴ⚪ᙏ⚪ᗩ⚪✤⚪ꖴ⚪Ⓞ⚪ИN⚪.PY
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⚪∣❁∣⚪✤⚪✻⚪ЭЄ⚪ᗩ⚪ߦ⚪റ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪റ⚪ߦ⚪ᗩ⚪ЭЄ⚪✻⚪✤⚪∣❁∣⚪/⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᑐᑕ⚪ИN⚪ᑎ⚪ꗳ⚪◯⚪ᔓᔕ⚪ᑎ⚪ꖴ⚪⚭⚪ᗩ⚪ꗳ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ꗳ⚪ᗩ⚪⚭⚪ꖴ⚪ᑎ⚪ᔓᔕ⚪◯⚪ꗳ⚪ᑎ⚪ИN⚪ᑐᑕ⚪✤⚪ꖴ⚪Ⓞ⚪ИN⚪/⚪ᗱᗴ⚪ᴥ⚪ᑎ⚪✤⚪ᗩ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗩ⚪✤⚪ᑎ⚪ᴥ⚪ᗱᗴ⚪/⚪ᔓᔕ⚪ᴥ⚪ᗱᗴ⚪ИN⚪ᴥ⚪Ⓞ⚪ᑐᑕ⚪◯⚪✤⚪옷⚪ᕤᕦ⚪ꖴ⚪ᗩ⚪ᴥ⚪✤⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪✤⚪ᴥ⚪ᗩ⚪ꖴ⚪ᕤᕦ⚪옷⚪✤⚪◯⚪ᑐᑕ⚪Ⓞ⚪ᴥ⚪ИN⚪ᗱᗴ⚪ᴥ⚪ᔓᔕ⚪/YP.⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᗩ⚪ᙏ⚪ꖴ⚪ꕤ⚪Ⓞ⚪ᴥ⚪ߦ⚪ᗩ⚪◯⚪ᙁ⚪ᗩ⚪ꖴ⚪✤⚪ИN⚪ᗱᗴ⚪ИN⚪Ⓞ⚪ߦ⚪ꕤ⚪ᗱᗴ⚪◯⚪ᗱᗴ⚪ᙁ⚪ᑐᑕ⚪ᴥ⚪ꖴ⚪ᑎ⚪¤⚪ᔓᔕ⚪◯⚪ᗱᗴ⚪ᴥ⚪ᑎ⚪✤⚪ᗩ⚪ᗯ⚪ᴥ⚪ᑎ⚪ᑐᑕ⚪◯⚪ᔓᔕ⚪ᑎ⚪ꖴ⚪⚭⚪ᗩ⚪ꗳ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ꗳ⚪ᗩ⚪⚭⚪ꖴ⚪ᑎ⚪ᔓᔕ⚪◯⚪ᑐᑕ⚪ᑎ⚪ᴥ⚪ᗯ⚪ᗩ⚪✤⚪ᑎ⚪ᴥ⚪ᗱᗴ⚪◯⚪ᔓᔕ⚪¤⚪ᑎ⚪ꖴ⚪ᴥ⚪ᑐᑕ⚪ᙁ⚪ᗱᗴ⚪◯⚪ᗱᗴ⚪ꕤ⚪ߦ⚪Ⓞ⚪ИN⚪ᗱᗴ⚪ИN⚪✤⚪ꖴ⚪ᗩ⚪ᙁ⚪◯⚪ᗩ⚪ߦ⚪ᴥ⚪Ⓞ⚪ꕤ⚪ꖴ⚪ᙏ⚪ᗩ⚪✤⚪ꖴ⚪Ⓞ⚪ИN⚪.PY
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import plotly.graph_objects as go |
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import numpy as np |
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# Define the curvature function |
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def kappa(x): |
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return (1-((-((-1)**np.floor(x/np.pi*2)*(np.exp(-1/((x/np.pi*2)-np.floor((x/np.pi*2)))) |
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/(np.exp(-1/((x/np.pi*2)-np.floor((x/np.pi*2))))+np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))))) + |
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((-1)**np.floor((x/np.pi*2)/1)*(np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))/(np.exp(-1/((x/np.pi*2)- |
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np.floor((x/np.pi*2))))+np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))))))/2 + .5)) |
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# Generate x values |
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x_vals = np.linspace(0, 4*np.pi, 1000) |
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# Compute kappa values |
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kappa_vals = kappa(x_vals) |
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# Integrate kappa values to get theta values (angles) |
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theta_vals = np.cumsum(kappa_vals) * (x_vals[1]-x_vals[0]) |
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# Compute x and y coordinates of the curve |
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x_coords = np.cumsum(np.cos(theta_vals)) * (x_vals[1]-x_vals[0]) |
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y_coords = np.cumsum(np.sin(theta_vals)) * (x_vals[1]-x_vals[0]) |
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# Create a plot using plotly |
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fig = go.Figure() |
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# Add line to the figure for the curve |
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fig.add_trace(go.Scatter(x=x_coords, y=y_coords, mode='lines', name='Curve')) |
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# Update layout |
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fig.update_layout( |
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autosize=True, |
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xaxis=dict(scaleanchor='y', scaleratio=1) # this line sets the aspect ratio |
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) |
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fig.show() |
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