<｜begin▁of▁sentence｜>### Instruction:
Imagine you're appraising the structural integrity of a real estate development plan designed like a perfectly proportioned arbor structure. Your challenge is to create a blueprint for a symmetrical, binary branching framework—think of it as a property layout resembling a family tree with two offshoots from every division point, with exactly three levels from the root to the last lot. 

You're considering utilizing NetworkX to draft this evenly distributed plot diagram. Could you draft a plan depicting this dual-branched tree, ensuring a uniform height of three tiers from the base to the peripheral plots? Additionally, could you generate a visual representation of this homogenous arboreal design that you might share with your clients or colleagues, perhaps in a visual dossier or as part of a digital presentation? If your visualization involves saving the layout in a file, kindly reference the file name in your plan.
### Response:
import networkx as nx

# Parameters for balanced tree
r = 2  # Branching factor	h = 3  # Height

# Create a balanced binary tree
G = nx.balanced_tree(r, h)

# Draw the graph using matplotlib (optional)
import matplotlib.pyplot as plt
nx.draw(G, with_labels=True)
plt.show()
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