Xudong Sun Graphing quadratic equation 

import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

a, b, c = 5, 3, 2  # Example values for a, b, c
u = np.linspace(0, 2 * np.pi, 100)
v = np.linspace(0, np.pi, 100)
x = a * np.outer(np.cos(u), np.sin(v))
y = b * np.outer(np.sin(u), np.sin(v))
z = c * np.outer(np.ones(np.size(u)), np.cos(v))

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_surface(x, y, z, color='b')
plt.title('Ellipsoid')
plt.show()

import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

# Constants for the dimensions of the hyperboloid
a, b, c = 5, 3, 2  # You can change these values

# Parametric variables
u = np.linspace(0, 2 * np.pi, 100)
v = np.linspace(-5, 5, 100)
u, v = np.meshgrid(u, v)

# Parametric equations for the hyperboloid of one sheet
x = a * np.cosh(v) * np.cos(u)
y = b * np.cosh(v) * np.sin(u)
z = c * np.sinh(v)

# Plotting
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_surface(x, y, z, color='r', rstride=1, cstride=1)
ax.set_title('Hyperboloid of One Sheet')
plt.show()

import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
a, b, c = 5, 3, 2
u = np.linspace(0, 2 * np.pi, 100)
v = np.linspace(0, 5, 100)
u, v = np.meshgrid(u, v)

x = a * np.sqrt(v**2 + 1) * np.cos(u)
y = b * np.sqrt(v**2 + 1) * np.sin(u)
z = c * v

fig = plt.figure()
ax1 = fig.add_subplot(121, projection='3d')
ax1.plot_surface(x, y, z, color='g')
ax2 = fig.add_subplot(122, projection='3d')
ax2.plot_surface(x, y, -z, color='g')
ax1.set_title('Hyperboloid of Two Sheets (Top)')
ax2.set_title('Hyperboloid of Two Sheets (Bottom)')
plt.show()

import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

a, b = 5, 3
u = np.linspace(0, 2 * np.pi, 100)
v = np.linspace(0, 5, 100)
u, v = np.meshgrid(u, v)

x = a * v * np.cos(u)
y = b * v * np.sin(u)
z = v

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_surface(x, y, z, color='c')
ax.set_title('Elliptic Cone')
plt.show()

import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

a, b = 5, 3
x = np.linspace(-5, 5, 100)
y = np.linspace(-5, 5, 100)
x, y = np.meshgrid(x, y)
z = (x**2 / a**2) - (y**2 / b**2)

fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_surface(x, y, z, color='y')
ax.set_title('Hyperbolic')
plt.show()