To create a 3D image using SageMath, you can write a code snippet in SageMath that will generate and display a 3D plot. Here’s an example of how to create a 3D plot of a mathematical function, such as \( z = \sin(x) \cdot \cos(y) \), over a certain range for \( x \) and \( y \):

```python
# Import the necessary function
from sage.plot.plot3d.parametric_surface import ParametricSurface
from sage.plot.plot3d.shapes2 import Text

# Define the function z = sin(x) * cos(y)
def f(x, y):
    return sin(x) * cos(y)

# Create the 3D plot
plot3d = plot3d(f, (x, -pi, pi), (y, -pi, pi), plot_points=100, color='cyan')

# Display the plot
show(plot3d)
```

### Steps to Run the Code:
1. Open SageMath or use an online SageMath environment.
2. Copy and paste the above code into the SageMath console.
3. Run the code, and a 3D plot of the function will be generated and displayed.

This plot visualizes the surface defined by the function \( z = \sin(x) \cdot \cos(y) \), with the color set to cyan. You can adjust the ranges for \( x \) and \( y \), the color, and other parameters to customize the plot further.

Would you like more details on how to manipulate 3D plots in SageMath, or any other questions?

### Related Questions:
1. How can I create a 3D plot of a parametric surface in SageMath?
2. What are some customization options for 3D plots in SageMath?
3. Can I export the 3D plot generated in SageMath to a file format like PNG or PDF?
4. How can I plot multiple 3D surfaces in a single plot using SageMath?
5. Is it possible to animate 3D plots in SageMath?

### Tip:
To improve the visualization of 3D plots, you can use `plot3d.show(aspect_ratio=1)` to adjust the aspect ratio and enhance the display of your mathematical surfaces.

Learn how to create a 3D image using SageMath with a detailed example of visualizing the surface z = sin(x) * cos(y). This guide includes step-by-step instructions to plot parametric surfaces in 3D, adjust plot parameters, and enhance visualization in SageMath.

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