Regina Calculation Engine
Public Member Functions | Static Public Member Functions | List of all members
regina::L31Pillow Class Reference

Represents a triangular pillow L(3,1) component of a triangulation. More...

#include <subcomplex/l31pillow.h>

Inheritance diagram for regina::L31Pillow:
regina::StandardTriangulation regina::Output< StandardTriangulation >

Public Member Functions

virtual ~L31Pillow ()
 Destroys this structure. More...
 
L31Pillowclone () const
 Returns a newly created clone of this structure. More...
 
Tetrahedron< 3 > * tetrahedron (int whichTet) const
 Returns one of the two tetrahedra involved in this structure. More...
 
unsigned interiorVertex (int whichTet) const
 Returns the vertex number of the given tetrahedron corresponding to the degree three vertex in the interior of the triangular pillow. More...
 
Manifoldmanifold () const
 Returns the 3-manifold represented by this triangulation, if such a recognition routine has been implemented. More...
 
AbelianGrouphomology () const
 Returns the expected first homology group of this triangulation, if such a 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...
 
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 L31PillowisL31Pillow (const Component< 3 > *comp)
 Determines if the given triangulation component is a triangular pillow L(3,1). 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...
 

Detailed Description

Represents a triangular pillow L(3,1) component of a triangulation.

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 triangles of this pillow are then identified with a one-third twist.

All optional StandardTriangulation routines are implemented for this class.

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).