```
To create a simple terrain generator using Python and Matplotlib, we can use Perlin noise with parameters that define the variety of terrain and its smoothness. Here are the steps to follow:

1. Import the necessary libraries at the beginning of the code:
import noise
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import axes3d
https://jackmckew.dev
2. Define the shape, scale, octaves, persistence, and lacunarity of the terrain:
shape = (50,50)
scale = 100.0
octaves = 6
persistence = 0.5
lacunarity = 2.0
https://jackmckew.dev
3. Initialise a numpy array that will contain the values of our world, iterate through the empty array, and fill it with Perlin noise:
world = np.zeros(shape)
for i in range(shape[0]):
    for j in range(shape[1]):
        world[i][j] = noise.pnoise2(i/scale, 
                                    j/scale, 
                                    octaves=octaves, 
                                    persistence=persistence, 
                                    lacunarity=lacunarity, 
                                    repeatx=1024, 
                                    repeaty=1024, 
                                    base=42)
https://jackmckew.dev
4. Plot the 2D terrain using Matplotlib:
plt.imshow(world, cmap='terrain')
plt.show()
5. Initialise two more arrays that will contain the x-y coordinates of our world and plot it in 3D with Matplotlib:
lin_x = np.linspace(0,1,shape[0],endpoint=False)
lin_y = np.linspace(0,1,shape[1],endpoint=False)
x,y = np.meshgrid(lin_x,lin_y)

fig = plt.figure()
ax = fig.add_subplot(111, projection="3d")
ax.plot_surface(x,y,world,cmap='terrain')
plt.show()
https://jackmckew.dev
6. To make an interactive plot, we can use Plotly. We need to convert the Matplotlib colormap to a Plotly-compatible one and create a 3D terrain model:
terrain_cmap = plt.cm.get_cmap('terrain')
def matplotlib_to_plotly(cmap, pl_entries):
    h = 1.0/(pl_entries-1)
    pl_colorscale = []
    for k in range(pl_entries):
        C = list(map(np.uint8, np.array(cmap(k*h)[:3])*255))
        pl_colorscale.append([k*h, 'rgb'+str((C[0], C[1], C[2]))])
    return pl_colorscale
terrain = matplotlib_to_plotly(terrain_cmap, 255)

fig = go.Figure(data=[go.Surface(colorscale=terrain,z=world)])
fig.update_layout(title='Random 3D Terrain')
go_offline.plot(fig, filename='3d-terrain-plotly.html', validate=True, auto_open=False)
https://jackmckew.dev
Note that the above steps are just one possible implementation of a simple terrain generator using Python and Matplotlib. There are many other ways to achieve this, and the choice of implementation will depend on the specific requirements of the project.
```
```
To create a simple terrain generator using Python and Matplotlib, we can use Perlin noise with parameters that define the variety of terrain and its smoothness. Here are the steps to follow:

1. Import the necessary libraries at the beginning of the code:
import noise
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import axes3d
https://jackmckew.dev
2. Define the shape, scale, octaves, persistence, and lacunarity of the terrain:
shape = (50,50)
scale = 100.0
octaves = 6
persistence = 0.5
lacunarity = 2.0
https://jackmckew.dev
3. Initialise a numpy array that will contain the values of our world, iterate through the empty array, and fill it with Perlin noise:
world = np.zeros(shape)
for i in range(shape[0]):
    for j in range(shape[1]):
        world[i][j] = noise.pnoise2(i/scale, 
                                    j/scale, 
                                    octaves=octaves, 
                                    persistence=persistence, 
                                    lacunarity=lacunarity, 
                                    repeatx=1024, 
                                    repeaty=1024, 
                                    base=42)
https://jackmckew.dev
4. Plot the 2D terrain using Matplotlib:
plt.imshow(world, cmap='terrain')
plt.show()
5. Initialise two more arrays that will contain the x-y coordinates of our world and plot it in 3D with Matplotlib:
lin_x = np.linspace(0,1,shape[0],endpoint=False)
lin_y = np.linspace(0,1,shape[1],endpoint=False)
x,y = np.meshgrid(lin_x,lin_y)

fig = plt.figure()
ax = fig.add_subplot(111, projection="3d")
ax.plot_surface(x,y,world,cmap='terrain')
plt.show()
https://jackmckew.dev
6. To make an interactive plot, we can use Plotly. We need to convert the Matplotlib colormap to a Plotly-compatible one and create a 3D terrain model:
terrain_cmap = plt.cm.get_cmap('terrain')
def matplotlib_to_plotly(cmap, pl_entries):
    h = 1.0/(pl_entries-1)
    pl_colorscale = []
    for k in range(pl_entries):
        C = list(map(np.uint8, np.array(cmap(k*h)[:3])*255))
        pl_colorscale.append([k*h, 'rgb'+str((C[0], C[1], C[2]))])
    return pl_colorscale
terrain = matplotlib_to_plotly(terrain_cmap, 255)

fig = go.Figure(data=[go.Surface(colorscale=terrain,z=world)])
fig.update_layout(title='Random 3D Terrain')
go_offline.plot(fig, filename='3d-terrain-plotly.html', validate=True, auto_open=False)
https://jackmckew.dev
Note that the above steps are just one possible implementation of a simple terrain generator using Python and Matplotlib. There are many other ways to achieve this, and the choice of implementation will depend on the specific requirements of the project.
```