<｜begin▁of▁sentence｜>### Instruction:
Imagine you're a specialist in geometric configurations within biological systems, and you've encountered a tissue sample with cells that are arranged in a fascinating structure reminiscent of a non-periodic triangular lattice, with a specific pattern of rows and columns: 3 rows and 4 columns to be precise. For a comprehensive analysis, you require a detailed model of this cellular arrangement. Could you craft a representation using NetworkX to mimic this tri-cellular structure, calculate the exact positions where each cell would be situated to ensure they are equidistant from each other forming perfect equilateral triangles, and then visualize this cellular blueprint? The precision of this model is crucial for the fidelity of your biomedical research.
### Response:
import networkx as nx
import matplotlib.pyplot as plt

# Define the rows and columns
m, n = 3, 4

# Generating the triangular lattice graph
G = nx.triangular_lattice_graph(m, n, periodic=False, with_positions=True)

# Draw the graph
pos = nx.get_node_attributes(G, 'pos')
nx.draw(G, pos, with_labels=True, node_color='lightblue')
plt.show()
<|EOT|>
