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Section Navigation
algorithms
canonical
closure
components_link
link_components
link_components_endpoints
number_of_link_components
connected_sum
is_connected_sum
is_connected_sum_third_order
split_connected_sum
cut_set
arc_cut_sets
cut_nodes
is_arc_cut_set
degree_sequence
degree_sequence
neighbour_sequence
disjoint_sum
duality
dual_planar_diagram
naming
number_to_alpha
unique_new_node_name
orientation
all_orientations
oriented
unoriented
paths
bfs_shortest_path
path_from_endpoint
sanity
sanity_check
skein
Kauffman_state_sum
crossing_to_vertex
smoothen_crossing
tests
test_canonical
test_canonical
test_canonical_degenerate
test_canonical_knots
test_component_links
test_number_of_link_components
test_cut_set
test_arc_cut_set
test_cut_set_knotoid
test_find_cut_sets
test_degree_sequence
test_deg_seq
test_disjoint_sum
test_disjoint_sum
test_unknots
test_features
test_bridges
test_skein
test_skein
topology
bridges
edges
is_bridge
is_empty_diagram
is_kink
is_knot
is_knotoid
is_leaf
is_linkoid
is_loop
is_planar_graph
is_unknot
kink_region_iterator
kinks
leafs
loops
catalog
diagram_reader
diagram_writer
save_diagram_sets
save_diagrams
DiagramSetWriter
DiagramWriter
example
example_spatial_graph
handcuff_theta
oriented_trefoil
trefoil_knot
trefoil_theta
generate_planar_graphs
generate_planar_graphs
sort_graphs
graphs
bouquet
cycle_graph
handcuff_link
parallel_edges
path_graph
star_graph
theta_curve
wheel_graph
invariant_reader
load_invariant_table
invariant_writer
save_invariant_table
InvariantTableWriter
knot_tables
get_knot_from_name
get_knot_table
get_link_table
get_theta_curves
tests
test_get_knot_by_names
test_get_knot_from_name
test_knot_table_invariants
compare_lazy_non_lazy
test_lazy_load_diagram_table
test_load_diagram_table
test_save_diagram_table
test_load_save_diagrams
test_read
test_read_write_diagram
test_read_write_diagram_sets
classes
convert
vertices_to_crossings
endpoint
Endpoint
IngoingEndpoint
OutgoingEndpoint
node
Node
planardiagram
planar_diagram_from_data
OrientedPlanarDiagram
PlanarDiagram
tests
test_endpoint
test_faces
test_faces
test_init
test_knot_name
test_nodes
test_remove_bivalent_vertex
views
ArcView
EndpointView
FaceView
FilteredNodeView
NodeView
drawing
circlepack
CirclePack
InvertAround
InvertPacking
NormalizePacking
acxyz
flower
place
testgrid
draw_matplotlib
average_color
canonically_rotate_layout
compute_PCA
draw
draw_from_layout
export_pdf
export_pdf_groups
export_png
get_style_from_style
to_color
Arrow
draw_tangle
add_corners_and_smoothen
angle_between_points
are_continuation
connect
crossings
draw
draw_smooth
integral
to_zigzag
TangleExpr
TangleProduct
TangleSum
ZigZag
layout
bezier
circlepack_layout
tests
test_draw
test_draw_bonded
test_draw_bridges
test_draw_knot
test_draw_knotoid
test_draw_theta
test_thetas_sums
invariants
affine_index_polynomial
arrow_polynomial
bracket
bracket_polynomial
kauffman_bracket_skein_module
cache
Cache
jones_polynomial
mock_alexander_polynomial
module
Module
tests
test_colored_yamada
color_endpoints
colored_yamada_one_bond_reidemeister
makeit
module2str
test_colored_yamada_graph
test_colored_yamada_one_bond
test_colored_yamada_three_bonds
test_colored_yamada_trivial
test_colored_yamada_two_bonds
test_expressions
test_jones
test_jones
test_tutte
test_deletion_contraction_cycle
test_deletion_contraction_parallel_edges
test_deletion_contraction_square_with_diagonal
test_yamada
test_yamada_examples_from_paper
test_yamada_moriuchi
test_yamada_reidemeister
tutte
deletion_contraction
tutte_polynomial
unplugging
writhe
yamada
yamada_polynomial
yamada_colored
colored_yamada_polynomial
module2str
state_sum_yamada
manipulation
attributes
clear_attributes
clear_diagram_attributes
clear_endpoint_attributes
clear_node_attributes
contract
contract_arc
insert
insert_arc
insert_endpoint
insert_new_leaf
permute
permute_node
remove
remove_arc
remove_bivalent_vertex
remove_bivalent_vertices
remove_empty_nodes
remove_loops
rewire
pull_and_plug_endpoint
replug_endpoint
subdivide
subdivide_arc
subdivide_arcs_around_node
subdivide_endpoint
subdivide_endpoint_by_crossing
symmetry
flip
mirror
tests
test_contract
test_contract_edge
test_contract_edge_attributes
test_insert
test_insert_attr
test_remove
test_remove_edge
notation
dispatcher
from_notation_dispatcher
to_notation_dispatcher
dt
from_dt_notation
em
from_condensed_em_notation
from_em_notation
to_condensed_em_notation
to_em_notation
name
native
from_knotpy_notation
to_knotpy_notation
pd
from_condensed_pd_notation
from_pd_notation
to_condensed_pd_notation
to_pd_notation
plantri
from_plantri_notation
to_plantri_notation
tests
test_notation
test_native_notation_from
test_native_notation_to
test_native_notation_to_from
test_plantri
test_from_plantri
reidemeister
choose_random_reidemeister_moves
detect_move_type
find_all_reidemeister_moves
make_all_reidemeister_moves
make_random_reidemeister_move
make_reidemeister_move
randomize_diagram
utils
algebra
laurent_polynomial_to_tuples
poly2str
reciprocal
str2poly
cache
Cache
chunked
combinatorics
combinations_with_limited_repetitions
iterable_depth
lexicographical_minimal_cyclic_rotation_shift
parted_permutations
union
decorators
multi_variable_invariant
total_ordering_from_compare
dict_utils
common_dict
compare_dicts
inverse_dict
inverse_multi_dict
inverse_nested_dict
ClassifierDict
LazyEvalDict
LazyLoadDict
LazyLoadEvalDict
identitydict
disjoint_union_set
DisjointSetUnion
equivalence
func_utils
min_elements_by
geometry
antipode
bisect
bisector
bounding_box
circle_through_points
inverse_point_through_circle
is_angle_between
middle
perpendicular_arc
perpendicular_arc_through_point
perpendicular_line
split
tangent_line
weighted_circle_center_mean
BoundingBox
Circle
CircularArc
Line
Segment
module
module
multiprogressbar
Bar
FakeBar
ProgressTracker
multiprogressbar2
Bar
FakeBar
ProgressBar
ProgressTracker
parsing
parse_arc
parse_arcs
parse_endpoint
universal_list_of_lists_parser
set_utils
powerset
LeveledSet
statistics
print_bar_chart
string_utils
multi_replace
nested_split
string_to_nested_tuple_with_prefixes
test
test_dsu
test_dsu
test_lazy_dict
test_lazy_eval
test_lazy_load
test_lazy_load_eval
test_module
test_module
test_parser
test_universal_list_of_lists_parser
test_set_utils
test_leveled_set
test_value_partitioner
mod2
mod3
test_value_partitioner
Reference
drawing
draw_tangle
crossings
crossings
#
crossings
(
expr
)
#
return the number of crossings
On this page
crossings()
