<｜begin▁of▁sentence｜>### Instruction:
Given a graph with 10 vertices and edges determined by a geometric random graph with radius 0.2, how can you create a custom class that inherits from AbstractCairoEdgeDrawer in igraph to draw each edge as a Bezier curve instead of a straight line while keeping the vertex visual properties unchanged?
### Response:
import igraph as ig

# Read a graph
graph = ig.Graph.GRG(10, 0.2)

# Define visual styles
visual_style = {
    'vertex_size': 20,
    'vertex_color': 'blue',
    'vertex_label': [str(i) for i in range(graph.vcount())],
    'edge_color': 'gray',
    'layout': graph.layout_circle()
}

# Define a custom edge drawer that inherits from the AbstractCairoEdgeDrawer
class CustomEdgeDrawer(ig.drawing.edge.AbstractCairoEdgeDrawer):
    def draw_undirected_edge(self, edge, src_vertex, dest_vertex):
        # Custom implementation drawing the edge as a curved line
        pass  # You replace 'pass' with the actual code that draws the curved line

# Instantiate the plot object with custom edge drawer
plot = ig.Plot('/path/to/save/image.png', bbox=(600, 600), background='white')
plot.add(graph, **visual_style, edge_drawer=CustomEdgeDrawer)

# Save the plot
plot.save()
<|EOT|>
