<｜begin▁of▁sentence｜>### Instruction:
As a histologist, you prepare and examine tissue samples under microscopes to study cell structures and diseases. In this scenario, imagine you are exploring a network of connections among individuals in a community. If you apply community edge betweenness to partition the graph and want to visualize the resulting community structure, how would you go about creating and saving this visualization as a PNG file named 'cut_plot.png'?
### Response:
from igraph import Graph, plot
from igraph.drawing import Plot
import cairo

g = Graph.Famous('Zachary')
# Perform the cut and get a VertexClustering object
cut = g.community_edge_betweenness()
# Cast the resulting VertexClustering to a Cut object
cut = cut.as_cut()

# Create a plot with a Cairo context
plot_object = Plot()

# Plot the cut to the context
# Note: '__plot__' is not directly accessible, and igraph uses 'plot()' to handle plotting.
cut.__plot__(plot_object.redraw())

# Save the plot to a file
plot_object.save('cut_plot.png')
<|EOT|>
