 | Index |
— 0-9 —
- 0-efficiency
- making a triangulaton
0-efficient
- testing for
0-efficiency
- 1-4 move
- See: elementary moves
- 2-0 edge move
- See: elementary moves
- 2-0 vertex move
- See: elementary moves
- 2-1 move
- See: elementary moves
- 2-3 move
- See: elementary moves
- 2-manifold triangulation
- See: triangulation, 2-manifold
- 3-2 move
- See: elementary moves
- 3-ball recognition
- See: handlebody recognition
- 3-Manifold Recogniser (Matveev)
- exporting to
- 3-manifold
recognition
- 3-manifold triangulation
- See: triangulation, 3-manifold
- 3-sphere
recognition
- 4-4 move
- See: elementary moves
- (5–8)-dimensional triangulations
- See: triangulation, (5–8)-dimensional
- (9–15)-dimensional triangulations, removed
- See: triangulation, (9–15)-dimensional, removed
— C —
- C++ source
- See: source code
- cabling of links
- See: parallel cables
- calculation engine
- accessing
- documentation
- canonical
retriangulation
- Casson
- See: Orb
- census
- creating a census of splitting
surface signatures
- creating a census of
triangulations (command-line)
- creating a census of
triangulations (GUI)
- examples, for
knots and links
- examples, for
triangulations
- searching for a
triangulation across the census databases (GUI)
- searching for a
triangulation across the census databases (command line)
- central surfaces,
recognising
- certifying hyperbolicity
- See: hyperbolic manifolds, certifying hyperbolicity
- changing
crossings
- character encodings
- in
imports and exports
- classical Gauss code
- See: Gauss code
- cloning packets
- close book
- See: elementary moves
- closed quadrilateral normal coordinates
- See: coordinate systems
- closed quadrilateral-octagon almost normal coordinates
- See: coordinate systems
- code
- See: libraries
- collapsing an edge
- See: elementary moves
- combinatorial
composition
- combining data
files
- combining surface
filters
- comma-separated values
- exporting
normal surface lists to CSV files
- command-line tools
- scripting
interface
- specialised utilities
- compactness
- of normal
surfaces or hypersurfaces
- compatibility matrices
- for normal
surfaces or hypersurfaces
- compiling
- compiling Regina into other
code
- fixing compile errors
when building Regina
- complement,
of a knot or link
- components
- decomposing into,
for triangulations
- viewing,
for links
- viewing,
for triangulations
- composite link
- building
- composition, combinatorial
- See: combinatorial composition
- configuration
- GAP
(Groups, Algorithms and Programming)
- general
- Python
scripting
- SnapPea
interaction
- tools,
third-party
- connected sum, for links
- See: composite link
- connected sum, for triangulations
- building
- decomposition
- connectedness,
testing for
- container
packets
- conversion
- between file
formats
- from
links to Regina or SnapPea triangulations
- from
native Regina to SnapPea triangulations
- from
SnapPea to native Regina triangulations
- coordinate systems, normal surface or hypersurface
- enumerating in a
particular coordinate system
- explanation of
different coordinate systems
- viewing in a
different coordinate system
- crossings, in links
- changing
(or switching)
- resolving
(or splicing)
- viewing
- crushing a normal
surface
- crushing an edge
- See: elementary moves
- CSV
- See: comma-separated values
- cusps
- identifying
in a native triangulation
- viewing and filling
in a SnapPea triangulation
- custom
surfaces or hypersurfaces
- cutting along a normal
surface
- CW-decomposition
— E —
- edge links
- recognising as
normal surfaces or hypersurfaces
- edge weight normal coordinates
- See: coordinate systems
- edges, drilling out of a
triangulation
- edges, viewing
in a triangulation
- editing packets
- elementary moves
on triangulations
- embeddability in
homology spheres
- embedded normal
surfaces or hypersurfaces, enumerating
- encodings
- See: character encodings
- enumerating
- vertex angle
structures
- vertex or
fundamental normal surfaces or hypersurfaces
- Epstein-Penner cell decomposition
- See: canonical retriangulation
- errors, fixing
- Euler characteristic
- of a
manifold
- of a normal
surface
- examples
- census of prime
knots
- censuses of
triangulations
- creating, for knots and
links
- creating, for
triangulations
- Python scripting
- sample data files
- SnapPea
triangulations
- exhaustive simplification
- of links,
from the command-line
- of
links, in the GUI
- of triangulations,
from the command-line
- of triangulations,
in the GUI
- exporting
data
- extension
- of a triangulation
boundary
— L —
- labelling dual
graphs
- LATIN1
- See: character encodings
- layered lens space,
creation
- layered solid torus
- creating
- locating within
a triangulation
- legacy
surfaces
- legacy almost normal coordinates
- See: coordinate systems
- Legendre symbol vector
- invariant of
torsion linking form
- lens space,
creation
- libraries
- Regina, compiling into
other code
- licence details
- link group
- links, knots and
- alternating
- blackboard framing
- cabling
- complements
- components,
viewing
- composite link,
building
- creation
- crossings,
changing (or switching)
- crossings,
resolving (or splicing)
- crossings,
viewing
- diagram
graphs
- Dowker-Thistlethwaite notation,
recreating from
- Dowker-Thistlethwaite notation,
viewing
- examples,
creating
- examples,
from censuses
- framings
- Gauss code
(classical or oriented), recreating from
- Gauss code
(classical or oriented), viewing
- group
- HOMFLY-PT
polynomial
- Jenkins format,
recreating from
- Jenkins format,
viewing
- Jones
polynomial
- Kauffman
bracket
- knot signature,
recreating from
- knot signature,
viewing
- nice tree
decompositions
- orienting
- parallel cables
- planar diagram code,
recreating from
- planar diagram code,
viewing
- reflecting
- Reidemeister
moves
- reversing
- rotating
- Seifert framing
- self framing
- simplification
- tree
decompositions
- links, vertex
- See: vertex links
- locally compatible normal surfaces
- See: compatibility matrices for normal surfaces
- look up
- See: search
— Q —
- quadrilateral normal coordinates
- See: coordinate systems
- quadrilateral-octagon almost normal coordinates
- See: coordinate systems
- questions, frequently
asked
— S —
- S1-bundles, creation
- samples
- See: examples
- scripting
- accessing Regina objects,
classes and methods
- command-line scripting
interface
- configuration
- documentation of Regina
objects, classes and methods
- enabling
- examples
- exporting
Python scripts
- importing
Python scripts
- invoking in the
GUI
- script
packets
- search
- for a triangulation
across the census databases
- Seifert fibred space, creation
- Seifert framing
- See: framings, for links
- Seifert-Weber dodecahedral space
- See: Weber-Seifert dodecahedral space
- self framing of
links
- settings
- See: configuration
- shell boundary
- See: elementary moves
- shapes of
tetrahedra
- sidedness
- of a
normal surface or hypersurface
- sigma vector
- invariant of
torsion linking form
- signatures, splitting surface
- See: splitting surfaces
- simplifying
- group
presentations
- links
- triangulations
- singular / immersed normal surfaces
- See: immersed / singular surfaces
- skeleton
- of a triangulation
- dual 1-skeleton
- SnapPea
- calculations for
Regina triangulations
- diagnostic messages,
enabling
- exporting files
to
- exporting SnapPea file
contents
- importing files
from
- importing SnapPea file
contents
- SnapPea triangulation
- canonical
retriangulation
- converting from
links
- converting from
native Regina triangulations
- converting to
native Regina triangulations
- cusps,
viewing and filling
- examples,
creating
- filling
coefficients
- fundamental
group
- homology
- orientability
- permanently
filling cusps
- randomising
- SnapPea file contents,
creating from
- SnapPea file contents,
exporting to
- solution
type
- tetrahedron
shapes
- vertex
links
- volume
- solid torus recognition
- See: handlebody recognition
- solution type
- See: hyperbolic manifolds, solution type
- source code
- combining with the Regina
calculation engine
- major C++ changes in
Regina 7.0
- major Python changes in
Regina 7.0
- Python
scripting
- splicing crossings
- See: resolving crossings
- splitting surfaces
- census of splitting
surface signatures
- recognising in a
surface list
- reconstructing a
triangulation from
- testing for existence
in a triangulation
- spun-normal surfaces
- boundary
slopes
- identifying
- standard normal coordinates
- See: coordinate systems
- standard subcomplexes
- creating
- testing
for
- strict angle structures
- testing for
existence
- type of angle
structure
- subcomplex
- searching
for standard subcomplexes
- testing
between two triangulations
- testing between
sets of triangulations
- subdivision of
triangulations
- subscript / superscript symbols,
enabling / disabling
- surface
- See: triangulation, 2-manifold
- surface filters
- combining
filters
- filtering by surface
properties
- overview
- surface, normal
- See: normal surfaces
- switching crossings
- See: changing crossings
— T —
- T × I recognition
- tab size
- taut angle structures
- detecting
- enumerating
- test suite
- tetrahedra
- face gluings,
editing
- orientation, testing for
consistency
- shapes from hyperbolic
gluing equations
- viewing
in a triangulation
- tetrahedron links
- recognising as
normal surfaces or hypersurfaces
- text encodings
- See: character encodings
- text packets
- thin face links
- recognising as
normal surfaces or hypersurfaces
- torsion linking form
- Kawauchi-Kojima
invariants
- torus bundle
recognition
- torus knots and links,
creating
- transversely oriented
normal surfaces, removed
- tree
- See: packet tree
- tree decomposition
- for
links
- for
triangulations
- triangle arc normal coordinates
- See: coordinate systems
- triangle links
- recognising as
normal surfaces or hypersurfaces
- triangles (2-faces), viewing
in a triangulation
- triangulating
- a boundary component
in a 4-manifold triangulation
- a normal
hypersurface
- a vertex link in a
triangulation
- triangulation, (2,3,4)-manifold
- 0-efficiency,
testing for
- 0-efficient triangulation,
conversion to
- 3-ball
recognition
- 3-manifold,
recognising
- 3-sphere
recognition
- barycentric
subdivision
- boundary components,
viewing
- boundary,
converting real to ideal
- boundary,
testing for
- combinatorial
composition
- component
decomposition
- components,
viewing
- connected
sum, building
- connected
sum, decomposition
- connectedness
- converting from a
link
- converting from a
SnapPea triangulations
- converting to a
SnapPea triangulation
- creation
- cusps
- dehydration
string, rehydrating
- drilling
edges
- dual
graph
- elementary
moves (3-2, 4-4, open book, etc.)
- Euler
characteristic
- examples,
creating
- examples,
from censuses
- exporting to
external files
- face pairing
graph
- faces,
viewing shapes
- fundamental
group
- handlebody
recognition
- homology
groups
- hyperbolic solution
type
- hyperbolicity,
certifying
- ideal vertices,
creation
- ideal vertices,
testing for
- ideal vertices,
truncation
- importing from
external files
- intersection
form
- isomorphism
and subcomplex testing
- isomorphism signature,
recreating from
- nice tree
decomposition
- orientability
- orientable double
cover
- puncturing
- recognising the
underlying 2-manifold
- recognising the
underlying 3-manifold
- reflecting
- searching for a
triangulation across the census databases
- simplification
- skeleton,
viewing details
- SnapPea
triangulations
- solid torus
recognition
- splitting surface,
reconstructing triangulation from
- splitting surface,
testing for
- T × I
recognition
- tetrahedron face
gluings, editing
- tree
decomposition
- triangles,
viewing shapes
- Turaev-Viro
invariants
- unknot complement
recognition
- validity
- volume
- triangulation,
(5–8)-dimensional
- triangulation,
(9–15)-dimensional, removed
- troubleshooting
- truncation of ideal
vertices
- Turaev-Viro
invariants
- two-sidedness
- See: sidedness
— Z —
- zero-efficiency
- See: 0-effiency