<｜begin▁of▁sentence｜>### Instruction:
In the realm of digital creation, imagine you're designing a complex art piece that involves the intricate structure of a binary tree with 10 unique nodes. You're aiming to evolve this structure into a more interconnected pattern, reminiscent of a lattice, while ensuring that the flow of artistic connectivity is not lost. To achieve this transformation, you're considering harnessing the capabilities of the networkx library, specifically leveraging its function that generates a reference lattice structure. How would you adapt your binary tree graph into a latticized masterpiece, maintaining the essential links between nodes, by utilizing networkx's lattice generation tool?
### Response:
import networkx as nx
import numpy as np
from networkx.algorithms.smallworld import lattice_reference

# Create a graph
G = nx.full_rary_tree(2, 10)  # creating a binary tree graph

# Diagonal distance matrix
D = np.abs(np.arange(10) - np.arange(10)[:, None])

# Perform lattice reference
lattice_G = lattice_reference(G, niter=100, D=D, connectivity=True, seed=42)

print('Original graph edges:', G.edges())
print('Latticized graph edges:', lattice_G.edges())
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