flipper.kernel.triangulation3.Triangulation3

class flipper.kernel.triangulation3.Triangulation3(num_tetrahedra)

Bases: object

This represents triangulation, that is a collection of tetrahedra.

assign_cusp_indices()

Assign the tetrahedra in this triangulation their cusp indices and return the list of corners in the same cusp.

This triangulation must be closed.

clear_temp_peripheral_structure()

Remove all TEMP peripheral curves.

cusp_identification_map()

Return a dictionary pairing the sides of the peripheral triangles.

install_peripheral_curves()

Assign a longitude and meridian to each cusp.

Assumes (and checks) the link of each vertex is a torus.

intersection_number(peripheral_type_a, peripheral_type_b, cusp=None)

Return the algebraic intersection number between the specified peripheral types.

See SnapPy/kernel_code/intersection_numbers.c for more information.

Convention:

   ^ B
   |
---+---> A
   |
   |

has intersection <A, B> := +1.

is_closed()

Return if this triangulation is closed.

is_veering()

Return if this triangulation is veering.

slope()

Return the slope of the peripheral curve in TEMPS relative to the set meridians and longitudes.

Assumes that the meridian and longitude on this cusp have been set.

snappy_string(name='flipper triangulation', fillings=None)

Return the SnapPy string describing this triangulation.

If given, fillings is a list of slopes to perform Dehn filling along on each of the cusps.

This triangulation must be closed.