We have a parametric spiral curve that ascends along the different axes which is described in the following points:

1. We have spiral curve along the z axis, as shown in the following code:

# Line plot
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
theta = np.linspace(-4 * np.pi, 4 * np.pi, 100)
z = np.linspace(-2, 2, 100)
r = z**2 + 1
x = r * np.sin(theta)
y = r * np.cos(theta)
ax.plot(x,y,z)

Hence, here we see our spiral in the 3D plot:

2. If we take a look at the view_init method, we have two keyword arguments: elevation, which is given by elev, and azimuth, which is given by azim. These are measured in angles in degrees; the former describes the elevation of the plane, and the latter, the azimuth, describes the rotation:

# Rotating camera angles: elevation & azimuth
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
theta = np.linspace(-4 * np.pi, 4 * np.pi, 100)
z = np.linspace(-2, 2, 100)
r = z**2 + 1
x = r * np.sin(theta)
y = r * np.cos(theta)
ax.plot(x,y,z)
ax.view_init(elev=0)

Hence, if we set the elevation to 0, our perspective shifts to look at this side, as shown here:

3. When we set the elevation to 90, we look from the top, as shown here:

We can also rotate all the way through a full 360 degrees, as well.

4. For the azimuth, we are looking at various rotations:

# Rotating camera angles: elevation & azimuth
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
theta = np.linspace(-4 * np.pi, 4 * np.pi, 100)
z = np.linspace(-2, 2, 100)
r = z**2 + 1
x = r * np.sin(theta)
y = r * np.cos(theta)
ax.plot(x,y,z)
ax.view_init(azim=0)

So, an azimuth of 0 looks straight on at one of our axes, as shown here:

5. In order to look at the y axis, we can set azim to 90, which gives the following output:

6. Likewise, when we set this to 180, we get the following perspective:

Hence, this is how we can rotate through the full 360 degree angle range for both the azimuth and the elevation to get the perspective we want.