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	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 | ||||||
|  | import numpy as np | ||||||
|  | 
 | ||||||
|  | # Define the curvature function | ||||||
|  | def kappa(x): | ||||||
|  |     return (1-((-((-1)**np.floor(x/np.pi*2)*(np.exp(-1/((x/np.pi*2)-np.floor((x/np.pi*2)))) | ||||||
|  |             /(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))))))) + | ||||||
|  |             ((-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)- | ||||||
|  |             np.floor((x/np.pi*2))))+np.exp(-1/(1-(x/np.pi*2)+np.floor((x/np.pi*2))))))))/2 + .5)) | ||||||
|  | 
 | ||||||
|  | # Generate x values | ||||||
|  | x_vals = np.linspace(0, 4*np.pi, 1000) | ||||||
|  | 
 | ||||||
|  | # Compute kappa values | ||||||
|  | kappa_vals = kappa(x_vals) | ||||||
|  | 
 | ||||||
|  | # Integrate kappa values to get theta values (angles) | ||||||
|  | theta_vals = np.cumsum(kappa_vals) * (x_vals[1]-x_vals[0]) | ||||||
|  | 
 | ||||||
|  | # Compute x and y coordinates of the curve | ||||||
|  | x_coords = np.cumsum(np.cos(theta_vals)) * (x_vals[1]-x_vals[0]) | ||||||
|  | y_coords = np.cumsum(np.sin(theta_vals)) * (x_vals[1]-x_vals[0]) | ||||||
|  | 
 | ||||||
|  | # Create a plot using plotly | ||||||
|  | fig = go.Figure() | ||||||
|  | 
 | ||||||
|  | # Add line to the figure for the curve | ||||||
|  | fig.add_trace(go.Scatter(x=x_coords, y=y_coords, mode='lines', name='Curve')) | ||||||
|  | 
 | ||||||
|  | # Update layout | ||||||
|  | fig.update_layout( | ||||||
|  |     autosize=True, | ||||||
|  |     xaxis=dict(scaleanchor='y', scaleratio=1) # this line sets the aspect ratio | ||||||
|  | ) | ||||||
|  | fig.show() | ||||||
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