<｜begin▁of▁sentence｜>### Instruction:
As a floral botanist, you are studying a particular species of flowering plants with 10 different varieties, each with its own unique 3D layout. You're interested in visually exploring these layouts from different angles to observe the spatial distribution of the plants. How would you apply the `Layout.rotate` function in igraph to rotate the layout by 45 degrees around the axis perpendicular to the XY plane, allowing for a better analysis of the spatial structure?
### Response:
from igraph import Graph, Layout
import igraph as ig

# Create a graph
g = ig.Graph.Tree(10, 2)

# Create a layout
layout = g.layout('kk')  # Kamada-Kawai layout

# Rotate the layout by 45 degrees around the Z-axis (assuming Z is the third dimension in a 3D layout)
layout.rotate(45, 2, 3)

# Plot the graph with the rotated layout
ig.plot(g, layout=layout, vertex_label=g.vs['name'])
<|EOT|>
