#include <nl31pillow.h>
Inheritance diagram for regina::NL31Pillow:
Public Member Functions | |
virtual | ~NL31Pillow () |
Destroys this structure. | |
NL31Pillow * | clone () const |
Returns a newly created clone of this structure. | |
NTetrahedron * | getTetrahedron (int whichTet) const |
Returns one of the two tetrahedra involved in this structure. | |
unsigned | getInteriorVertex (int whichTet) const |
Returns the vertex number of the given tetrahedron corresponding to the degree three vertex in the interior of the triangular pillow. | |
NManifold * | getManifold () const |
Returns the 3-manifold represented by this triangulation, if such a recognition routine has been implemented. | |
NAbelianGroup * | getHomologyH1 () const |
Returns the expected first homology group of this triangulation, if such a routine has been implemented. | |
std::ostream & | writeName (std::ostream &out) const |
Writes the name of this triangulation as a human-readable string to the given output stream. | |
std::ostream & | writeTeXName (std::ostream &out) const |
Writes the name of this triangulation in TeX format to the given output stream. | |
void | writeTextLong (std::ostream &out) const |
Writes this object in long text format to the given output stream. | |
Static Public Member Functions | |
static NL31Pillow * | isL31Pillow (const NComponent *comp) |
Determines if the given triangulation component is a triangular pillow L(3,1). |
A triangular pillow L(3,1) is a two-tetrahedron two-vertex triangulation of the lens space L(3,1) formed as follows.
A triangular pillow is formed from two tetrahedra with a single degree three vertex in the interior of the pillow. The two boundary faces of this pillow are then identified with a one-third twist.
All optional NStandardTriangulation routines are implemented for this class.
regina::NL31Pillow::~NL31Pillow | ( | ) | [inline, virtual] |
Destroys this structure.
NL31Pillow* regina::NL31Pillow::clone | ( | ) | const |
Returns a newly created clone of this structure.
NTetrahedron * regina::NL31Pillow::getTetrahedron | ( | int | whichTet | ) | const [inline] |
Returns one of the two tetrahedra involved in this structure.
whichTet | specifies which tetrahedron to return; this must be either 0 or 1. |
unsigned regina::NL31Pillow::getInteriorVertex | ( | int | whichTet | ) | const [inline] |
Returns the vertex number of the given tetrahedron corresponding to the degree three vertex in the interior of the triangular pillow.
See the general class notes for further details.
The specific tetrahedron to examine is determined by the argument whichTet; this will be the tetrahedron getTetrahedron(whichTet)
.
whichTet | specifies which tetrahedron to examine; this must be either 0 or 1. |
static NL31Pillow* regina::NL31Pillow::isL31Pillow | ( | const NComponent * | comp | ) | [static] |
Determines if the given triangulation component is a triangular pillow L(3,1).
comp | the triangulation component to examine. |
null
if the given component is not a triangular pillow L(3,1). NManifold* regina::NL31Pillow::getManifold | ( | ) | const [virtual] |
Returns the 3-manifold represented by this triangulation, if such a recognition routine has been implemented.
If the 3-manifold cannot be recognised then this routine will return 0.
The details of which standard triangulations have 3-manifold recognition routines can be found in the notes for the corresponding subclasses of NStandardTriangulation. The default implementation of this routine returns 0.
It is expected that the number of triangulations whose underlying 3-manifolds can be recognised will grow between releases.
The 3-manifold will be newly allocated and must be destroyed by the caller of this routine.
Reimplemented from regina::NStandardTriangulation.
NAbelianGroup* regina::NL31Pillow::getHomologyH1 | ( | ) | const [virtual] |
Returns the expected first homology group of this triangulation, if such a routine has been implemented.
If the calculation of homology has not yet been implemented for this triangulation then this routine will return 0.
This routine does not work by calling NTriangulation::getHomologyH1() on the associated real triangulation. Instead the homology is calculated directly from the known properties of this standard triangulation.
The details of which standard triangulations have homology calculation routines can be found in the notes for the corresponding subclasses of NStandardTriangulation. The default implementation of this routine returns 0.
The homology group will be newly allocated and must be destroyed by the caller of this routine.
If this NStandardTriangulation describes an entire NTriangulation (and not just a part thereof) then the results of this routine should be identical to the homology group obtained by calling NTriangulation::getHomologyH1() upon the associated real triangulation.
Reimplemented from regina::NStandardTriangulation.
std::ostream & regina::NL31Pillow::writeName | ( | std::ostream & | out | ) | const [inline, virtual] |
Writes the name of this triangulation as a human-readable string to the given output stream.
out | the output stream to which to write. |
Implements regina::NStandardTriangulation.
std::ostream & regina::NL31Pillow::writeTeXName | ( | std::ostream & | out | ) | const [inline, virtual] |
Writes the name of this triangulation in TeX format to the given output stream.
No leading or trailing dollar signs will be included.
out | the output stream to which to write. |
Implements regina::NStandardTriangulation.
void regina::NL31Pillow::writeTextLong | ( | std::ostream & | out | ) | const [inline, virtual] |
Writes this object in long text format to the given output stream.
The output should provided the user with all the information they could want. The output should end with a newline.
The default implementation of this routine merely calls writeTextShort() and adds a newline.
out | the output stream to which to write. |
Reimplemented from regina::ShareableObject.