Regina Calculation Engine
Public Member Functions | Static Public Member Functions | Static Public Attributes | List of all members
regina::AugTriSolidTorus Class Reference

Represents an augmented triangular solid torus component of a triangulation. More...

#include <subcomplex/augtrisolidtorus.h>

Inheritance diagram for regina::AugTriSolidTorus:
regina::StandardTriangulation regina::Output< StandardTriangulation >

Public Member Functions

virtual ~AugTriSolidTorus ()
 Destroys this augmented solid torus; note that the corresponding triangular and layered solid tori will also be destroyed. More...
 
AugTriSolidTorusclone () const
 Returns a newly created clone of this structure. More...
 
const TriSolidToruscore () const
 Returns the triangular solid torus at the core of this triangulation. More...
 
const LayeredSolidTorusaugTorus (int annulus) const
 Returns the layered solid torus attached to the requested annulus on the boundary of the core triangular solid torus. More...
 
Perm< 4 > edgeGroupRoles (int annulus) const
 Returns a permutation describing the role played by each top level edge group of the layered solid torus glued to the requested annulus of the core triangular solid torus. More...
 
unsigned long chainLength () const
 Returns the number of tetrahedra in the layered chain linking two of the boundary annuli of the core triangular solid torus. More...
 
int chainType () const
 Returns the way in which a layered chain links two of the boundary annuli of the core triangular solid torus. More...
 
int torusAnnulus () const
 Returns the single boundary annulus of the core triangular solid torus to which a layered solid torus is attached. More...
 
bool hasLayeredChain () const
 Determines whether the core triangular solid torus has two of its boundary annuli linked by a layered chain as described in the general class notes. More...
 
Manifoldmanifold () const
 Returns the 3-manifold represented by this triangulation, if such a recognition routine has been implemented. More...
 
std::ostream & writeName (std::ostream &out) const
 Writes the name of this triangulation as a human-readable string to the given output stream. More...
 
std::ostream & writeTeXName (std::ostream &out) const
 Writes the name of this triangulation in TeX format to the given output stream. More...
 
void writeTextLong (std::ostream &out) const
 Writes a detailed text representation of this object to the given output stream. More...
 
std::string name () const
 Returns the name of this specific triangulation as a human-readable string. More...
 
std::string TeXName () const
 Returns the name of this specific triangulation in TeX format. More...
 
virtual AbelianGrouphomology () const
 Returns the expected first homology group of this triangulation, if such a routine has been implemented. More...
 
AbelianGrouphomologyH1 () const
 Returns the expected first homology group of this triangulation, if such a routine has been implemented. More...
 
virtual void writeTextShort (std::ostream &out) const
 Writes a short text representation of this object to the given output stream. More...
 
std::string str () const
 Returns a short text representation of this object. More...
 
std::string utf8 () const
 Returns a short text representation of this object using unicode characters. More...
 
std::string detail () const
 Returns a detailed text representation of this object. More...
 

Static Public Member Functions

static AugTriSolidTorusisAugTriSolidTorus (const Component< 3 > *comp)
 Determines if the given triangulation component is an augmented triangular solid torus. More...
 
static StandardTriangulationisStandardTriangulation (Component< 3 > *component)
 Determines whether the given component represents one of the standard triangulations understood by Regina. More...
 
static StandardTriangulationisStandardTriangulation (Triangulation< 3 > *tri)
 Determines whether the given triangulation represents one of the standard triangulations understood by Regina. More...
 

Static Public Attributes

static const int CHAIN_NONE
 Indicates that this augmented triangular solid torus contains no layered chain. More...
 
static const int CHAIN_MAJOR
 Indicates that this augmented triangular solid torus contains a layered chain attached as described by TriSolidTorus::areAnnuliLinkedMajor(). More...
 
static const int CHAIN_AXIS
 Indicates that this augmented triangular solid torus contains a layered chain attached as described by TriSolidTorus::areAnnuliLinkedAxis(). More...
 

Detailed Description

Represents an augmented triangular solid torus component of a triangulation.

Such a component is obtained as follows. Begin with a three-tetrahedron triangular solid torus (as described by TriSolidTorus). Observe that the three axis edges divide the boundary into three annuli. Then take one of the following actions.

It will be assumed that all layered solid tori other than the degenerate (2,1,1) will have (3,2,1) layered solid tori at their bases. That is, layered solid tori that begin with the degenerate (2,1,1) and layer over the boundary of the mobius strip are not considered in this class.

Note that (unless a (1,1,0) layered solid torus is used with the 0 edge glued to an axis edge) the resulting space will be a Seifert fibred space over the 2-sphere with at most three exceptional fibres.

Of the optional StandardTriangulation routines, manifold() is implemented for most augmented triangular solid tori and homology() is not implemented at all.

Member Function Documentation

◆ detail()

std::string regina::Output< StandardTriangulation , false >::detail ( ) const
inherited

Returns a detailed text representation of this object.

This text may span many lines, and should provide the user with all the information they could want. It should be human-readable, should not contain extremely long lines (which cause problems for users reading the output in a terminal), and should end with a final newline. There are no restrictions on the underlying character set.

Returns
a detailed text representation of this object.

◆ str()

std::string regina::Output< StandardTriangulation , false >::str ( ) const
inherited

Returns a short text representation of this object.

This text should be human-readable, should fit on a single line, and should not end with a newline. Where possible, it should use plain ASCII characters.

Python:\n In addition to str(), this is also used as the
Python "stringification" function __str__().
Returns
a short text representation of this object.

◆ utf8()

std::string regina::Output< StandardTriangulation , false >::utf8 ( ) const
inherited

Returns a short text representation of this object using unicode characters.

Like str(), this text should be human-readable, should fit on a single line, and should not end with a newline. In addition, it may use unicode characters to make the output more pleasant to read. This string will be encoded in UTF-8.

Returns
a short text representation of this object.

The documentation for this class was generated from the following file:

Copyright © 1999-2016, The Regina development team
This software is released under the GNU General Public License, with some additional permissions; see the source code for details.
For further information, or to submit a bug or other problem, please contact Ben Burton (bab@maths.uq.edu.au).