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################################
#
# Sample Python Script
#
# Illustrates different queries and actions on a 3-manifold triangulation
# and its normal surfaces.
#
# See the file "triangulation.session" for the results of running this
# script.
#
################################
# Create a new (3,4,7) layered solid torus. This is a 3-tetrahedron
# triangulation of a solid torus.
t = Example3.lst(3, 4)
print(t)
# Print the full skeleton of the triangulation.
print(t.detail())
# Calculate some algebraic properties of the triangulation.
print(t.homology())
print(t.homologyBdry())
# Test for 0-efficiency, which asks Regina to search for certain types
# of normal surfaces.
print(t.isZeroEfficient())
# Make our own list of vertex normal surfaces in standard coordinates.
surfaces = NormalSurfaces(t, NormalCoords.Standard)
# Print the full list of vertex normal surfaces.
print(surfaces.detail())
# Print the Euler characteristic and orientability of each surface.
for s in surfaces:
print("Chi =", s.eulerChar(), "; Or =", s.isOrientable())
# List all surfaces with more than one quad in the first tetrahedron.
for s in surfaces:
if s.quads(0,0) + s.quads(0,1) + s.quads(0,2) > 1:
print(s)
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