<｜begin▁of▁sentence｜>### Instruction:
As a restaurant manager, you have received feedback that the layout of your restaurant is not as welcoming as it could be. To address this, you plan to create a new seating arrangement using the available tables and chairs in a way that is both visually appealing and functional.

You have decided to use a digital tool called igraph to create a visual representation of the new seating arrangement. You want to draw red downward-facing triangles to represent the available tables and save the image as 'down_triangles.png' for reference.

Your goal is to ensure that the new arrangement not only looks inviting but also efficiently utilizes the available space, providing a comfortable dining experience for your customers.
### Response:
import igraph as ig
import cairo
from igraph.drawing.shapes import DownTriangleDrawer

# Create an igraph plot surface
dimensions = (600, 600)
surface = cairo.ImageSurface(cairo.FORMAT_ARGB32, *dimensions)
ctx = cairo.Context(surface)

# Create a graph and compute layout
g = ig.Graph.Star(7)
layout = g.layout('kk')

# Set drawing context properties
ctx.set_source_rgb(1, 0, 0) # Red color

# Initialize the DownTriangleDrawer with the cairo context
down_triangle_drawer = DownTriangleDrawer(ctx)

for x, y in layout.coords:
    ctx.move_to(x, y)
    down_triangle_drawer.draw_path(ctx)
    ctx.fill()  # Fill the triangle

# Save the plot to a file
surface.write_to_png('down_triangles.png')
<|EOT|>
