<｜begin▁of▁sentence｜>### Instruction:
Given a platonic icosahedral graph, where there is a known node connectivity of 5, how many node disjoint paths exist between two non-neighbor nodes, for example between node 0 and node 6, and what are those paths?
### Response:
import networkx as nx
from networkx.algorithms.connectivity import build_auxiliary_node_connectivity
from networkx.algorithms.flow import build_residual_network

# Create a graph, for example a platonic icosahedral graph
G = nx.icosahedral_graph()

# First, build the auxiliary node connectivity graph
H = build_auxiliary_node_connectivity(G)

# Then build the residual network
R = build_residual_network(H, 'capacity')

# Finally compute the node disjoint paths between two nodes
# In this case, we find the node disjoint paths between node 0 and node 6
paths = list(nx.node_disjoint_paths(G, 0, 6, auxiliary=H, residual=R))

# Print the number of node disjoint paths between node 0 and node 6
print('Number of node disjoint paths:', len(paths))

# Optionally, print the actual paths
for path in paths:
    print(path)
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