Group Project 2, Problem 18

#I have the problem done out if you need it. Plotting In 3D has the code you need for the line. I'm also going to add some notes to these later.

import matplotlib
import matplotlib.pyplot as plt
import numpy as np
%matplotlib inline
from mpl_toolkits.mplot3d.axes3d import Axes3D
%matplotlib notebook

(-1 * (2**-1)/2, -1 * (2**-1)/2, 1 + 2**-1)

'''Prepare the figure container'''
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')

'''Prepare the 2D domain: x from -1 to 1 and y from -1 to 1'''
x,y = np.meshgrid(np.linspace(-2,2,41),np.linspace(-2,2,41))
t = np.linspace(0, 2*np.pi)
X = np.cos(t)
Y = np.sin(t)
z1 = 1 - x - y

x2=np.linspace(-1,1,40)
z2=np.linspace(-2,2,40)

X2, Z2=np.meshgrid(x2,z2)
Y2=np.sqrt(1-X2**2)

ax.plot_wireframe(X2,Y2,Z2)
ax.plot_wireframe(X2,-Y2,Z2)


'''Plot the surface'''
ax.plot_wireframe(x,y,z1,color="red")



'''Set all labels, view, and then plot'''
ax.set_xlabel('x')
ax.set_ylabel('y')
ax.set_zlabel('f(x,y)')
#ax.set_xticks([-1,-0.5,0,0.5,1])
#ax.set_yticks([-1,-0.5,0,0.5,1])
#ax.set_zticks([-1,-0.5,0,0.5,1])
plt.show()