⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
|
|
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()
|