[Python] Gudhi python library did not show the output for dimension 1

The following code is for "Homology Groups". I used library for implementation purpose.

import gudhi

# Create a simplicial complex
simplex_tree = gudhi.SimplexTree()
simplex_tree.insert([1, 2, 3])
simplex_tree.insert([2, 3, 4])
simplex_tree.insert([3, 4, 5])

# Compute homology
homology = simplex_tree.persistence()

print("Homology groups:")
for interval in homology:
dim, (birth, death) = interval
print(f"Dimension {dim}: birth = {birth}, death = {death}")


The output I get

Homology groups:
Dimension 0: birth = 0.0, death = inf


Why I did not get the output for Dimension 1?

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