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/**************************************************************************
* *
* Regina - A Normal Surface Theory Calculator *
* Computational Engine *
* *
* Copyright (c) 1999-2011, Ben Burton *
* For further details contact Ben Burton (bab@debian.org). *
* *
* This program is free software; you can redistribute it and/or *
* modify it under the terms of the GNU General Public License as *
* published by the Free Software Foundation; either version 2 of the *
* License, or (at your option) any later version. *
* *
* This program is distributed in the hope that it will be useful, but *
* WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* General Public License for more details. *
* *
* You should have received a copy of the GNU General Public *
* License along with this program; if not, write to the Free *
* Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, *
* MA 02110-1301, USA. *
* *
**************************************************************************/
/* end stub */
/*! \file triangulation/nexampletriangulation.h
* \brief Offers several example triangulations as starting points for
* testing code or getting used to Regina.
*/
#ifndef __NEXAMPLETRIANGULATION_H
#ifndef __DOXYGEN
#define __NEXAMPLETRIANGULATION_H
#endif
#include "regina-core.h"
namespace regina {
class NTriangulation;
/**
* \weakgroup triangulation
* @{
*/
/**
* This class offers routines for constructing sample triangulations of
* various types. These triangulations may be useful for testing new
* code, or for simply getting a feel for how Regina works.
*
* The sample triangulations offered here may prove especially useful in
* Regina's scripting interface, where working with pre-existing files
* is more complicated than in the GUI.
*
* Note that each of these routines constructs a new triangulation from
* scratch. It is up to the caller of each routine to destroy the
* triangulation that is returned.
*/
class REGINA_API NExampleTriangulation {
public:
/**
* \name Closed Triangulations
*/
/*@{*/
/**
* Returns a one-tetrahedron triangulation of the 3-sphere.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* threeSphere();
/**
* Returns the two-tetrahedron triangulation of the 3-sphere
* that is dual to Bing's house with two rooms.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* bingsHouse();
/**
* Returns a two-tetrahedron triangulation of the product space
* <tt>S^2 x S^1</tt>.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* s2xs1();
/**
* Returns a three-tetrahedron triangulation of the non-orientable
* product space <tt>RP^2 x S^1</tt>.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* rp2xs1();
/**
* Returns a triangulation of the connected sum
* <tt>RP^3 # RP^3</tt>.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* rp3rp3();
/**
* Returns the minimal triangulation of the lens space
* <tt>L(8,3)</tt>.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* lens8_3();
/**
* Returns the five-tetrahedron triangulation of the
* Poincare homology sphere.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* poincareHomologySphere();
/**
* Returns a nine-tetrahedron minimal triangulation of the Weeks
* manifold. The Weeks manifold is the smallest-volume closed
* hyperbolic 3-manifold, with a volume of roughly 0.9427.
* Note that there are nine minimal triangulations of the Weeks
* manifold (of course this routine returns just one).
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* weeks();
/**
* Returns a one-vertex triangulation of the Weber-Seifert
* dodecahedral space.
*
* This 3-manifold is described in "Die beiden Dodekaederraume",
* C. Weber and H. Seifert, Math. Z. 37 (1933), no. 1, 237-253.
* The triangulation returned by this routine (with 23 tetrahedra)
* is given in "The Weber-Seifert dodecahedral space is non-Haken",
* Benjamin A. Burton, J. Hyam Rubinstein and Stephan Tillmann,
* Trans. Amer. Math. Soc. 364:2 (2012), pp. 911-932.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* weberSeifert();
/**
* Returns a one-vertex triangulation of the Weber-Seifert
* dodecahedral space.
*
* \deprecated This routine is now called weberSeifert(),
* for consistency with Weber and Seifert's original paper.
* The old name seifertWeber() has been kept for backward
* compatibility, but will be removed in a future version of Regina.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* seifertWeber();
/**
* Returns the nine-tetrahedron closed orientable hyperbolic
* 3-manifold with volume 0.94270736.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* smallClosedOrblHyperbolic();
/**
* Returns the eleven-tetrahedron closed non-orientable hyperbolic
* 3-manifold with volume 2.02988321.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* smallClosedNonOrblHyperbolic();
/*@}*/
/**
* (end: Closed Triangulations)
*/
/**
* \name Finite Bounded Triangulations
*/
/*@{*/
/**
* Returns the three-tetrahedron layered solid torus
* <tt>LST(3,4,7)</tt>.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* lst3_4_7();
/**
* Returns a triangulation of the solid Klein bottle.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* solidKleinBottle();
/*@}*/
/**
* (end: Finite Bounded Triangulations)
*/
/**
* \name Ideal Triangulations
*/
/*@{*/
/**
* Returns a two-tetrahedron ideal triangulation of the figure
* eight knot complement.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* figureEightKnotComplement();
/**
* Returns a four-tetrahedron ideal triangulation of the
* Whitehead link complement.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* whiteheadLinkComplement();
/**
* Returns the one-tetrahedron ideal triangulation of the
* non-orientable Gieseking manifold.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* gieseking();
/**
* Returns a triangulation of a solid genus two torus with a
* cusped boundary. This triangulation has one internal finite
* vertex and one genus two ideal vertex.
*
* @return a newly constructed triangulation, which must be
* destroyed by the caller of this routine.
*/
static NTriangulation* cuspedGenusTwoTorus();
/*@}*/
/**
* (end: Ideal Triangulations)
*/
};
/*@}*/
} // namespace regina
#endif
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