<｜begin▁of▁sentence｜>### Instruction:
Imagine you're working on a feature for a software application that involves managing hierarchical data structures, specifically binary trees. You've already crafted two separate instances of perfectly balanced binary trees, each with a height of two (let's call them 'Tree A' and 'Tree B'), and your current task involves merging these two trees.

Your objective is to programmatically fuse 'Tree A' and 'Tree B' in such a manner that the resulting structure is seamlessly equivalent to a single, balanced binary tree with the characteristics of having a height of three. To achieve this using NetworkX, which is a Python package for the creation, manipulation, and study of complex networks, you'll need to determine the appropriate method to join these two binary trees together without altering their balanced nature.

Your code would involve loading the necessary data from any defined data structures or, if appropriate, importing it from external sources like a GML file (though in this case, no such file name has been provided). The successful combination of these trees would effectively simulate a single, larger binary tree, maintaining the full and balanced properties suitable for height three. How would you alter the nodes or edges in NetworkX to create this new tree structure while retaining the balance and fullness of the tree?
### Response:
import networkx as nx

# Create two full balanced binary trees of height 2
left_tree = nx.balanced_tree(2, 2)
right_tree = nx.balanced_tree(2, 2)

# Join the trees with a new root (default label 0)
joined_tree = nx.join_trees([(left_tree, 0), (right_tree, 0)])

# Check if the joined tree is isomorphic to a balanced binary tree of height 3
is_isomorphic = nx.is_isomorphic(joined_tree, nx.balanced_tree(2, 3))
print('Is the joined tree isomorphic to a balanced binary tree of height 3? -', is_isomorphic)
<|EOT|>
