<｜begin▁of▁sentence｜>### Instruction:
Imagine we're selecting three exquisite wines to create a perfectly balanced wine trio for a tasting event. They should complement each other without overshadowing, much like a trio of vertices—let's call them Cabernet (1), Merlot (2), and Chardonnay (3)—forming a harmonious triangle in a wine pairing network diagram. Using NetworkX, how could we expertly craft and ascertain that our wine pairing diagram maintains a planar character, ensuring that each wine's profile is distinct and non-overlapping, just as the vertices in a planar graph would be arranged?
### Response:
import networkx as nx
from networkx.algorithms.planarity import PlanarEmbedding

# Create a planar embedding object
embedding = PlanarEmbedding()

# Add edges to the planar embedding in a clockwise orientation
embedding.add_half_edge_ccw(1, 2, None)
embedding.add_half_edge_ccw(2, 3, 1)
embedding.add_half_edge_ccw(3, 1, 2)

# Validate the planar embedding
is_valid_embedding = embedding.check_structure()

print('Is the planar embedding valid?', is_valid_embedding)
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