I am trying to "trivially" extend this line in a third dimension, such that the blue line in this Wavy blue line between two end points Becomes the boundary of a sheet, and the endpoints of the boundary are $x_1$, $x_2$: import numpy as np import matplotlib.pyplot as plt t = np.linspace(0, 1, 500) x = t # Central blue path y_central = 0.7 * np.sin(4 * np.pi * t) + t**1.5 # Start and end points start_y = y_central[0] end_y = y_central[-1] # Plot the main blue path plt.plot(x, y_central, color='blue', linewidth=2.5) #end points plt.scatter([x[0]], [y_central[0]], color='red', zorder=5) plt.text(x[0]-0.05, y_central[0], r'$x_2$', fontsize=14, color='red', verticalalignment='top') plt.scatter([x[-1]], [y_central[-1]], color='green', zorder=5) plt.text(x[-1]+0.01, y_central[-1], r'$x_1$', fontsize=14, color='green', verticalalignment='bottom') #Middle label midpoint = len(t) // 2 plt.text(x[midpoint], y_central[midpoint] + 0.4, r'$x$', fontsize=16, color='blue', ha='center') # Axis formatting plt.xlabel(r'$x\, (100 \rightarrow 0)$', fontsize=12) plt.xticks([]) plt.yticks([]) plt.box(False) plt.tight_layout() plt.show() Crucially I would like it to appear as if you just tilted the wavy line slightly to reveal that it is actually a sheet rather than a line. Continue reading...
