Regina Calculation Engine
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Represents one of a few particular hard-coded trivial triangulations that do not belong to any of the other larger families. More...
#include <subcomplex/trivialtri.h>
Public Member Functions | |
TrivialTri * | clone () const |
Returns a newly created clone of this structure. More... | |
int | type () const |
Returns the specific trivial triangulation being represented. More... | |
Manifold * | manifold () const override |
Returns the 3-manifold represented by this triangulation, if such a recognition routine has been implemented. More... | |
AbelianGroup * | homology () const override |
Returns the expected first homology group of this triangulation, if such a routine has been implemented. More... | |
std::ostream & | writeName (std::ostream &out) const override |
Writes the name of this triangulation as a human-readable string to the given output stream. More... | |
std::ostream & | writeTeXName (std::ostream &out) const override |
Writes the name of this triangulation in TeX format to the given output stream. More... | |
void | writeTextLong (std::ostream &out) const override |
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... | |
AbelianGroup * | homologyH1 () 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 TrivialTri * | isTrivialTriangulation (const Component< 3 > *comp) |
Determines if the given triangulation component is one of the trivial triangulations recognised by this class. More... | |
static StandardTriangulation * | isStandardTriangulation (Component< 3 > *component) |
Determines whether the given component represents one of the standard triangulations understood by Regina. More... | |
static StandardTriangulation * | isStandardTriangulation (Triangulation< 3 > *tri) |
Determines whether the given triangulation represents one of the standard triangulations understood by Regina. More... | |
Static Public Attributes | |
static const int | SPHERE_4_VERTEX |
Represents the two-tetrahedron four-vertex triangulation of the 3-sphere. More... | |
static const int | BALL_3_VERTEX |
Represents the one-tetrahedron three-vertex triangulation of the ball. More... | |
static const int | BALL_4_VERTEX |
Represents the one-tetrahedron four-vertex triangulation of the ball. More... | |
static const int | N2 |
Represents the two-tetrahedron triangulation N(2) of the twisted 2-sphere bundle over the circle. More... | |
static const int | N3_1 |
Represents the three-tetrahedron triangulation N(3,1) of the projective plane bundle over the circle. More... | |
static const int | N3_2 |
Represents the three-tetrahedron triangulation N(3,2) of the projective plane bundle over the circle. More... | |
Represents one of a few particular hard-coded trivial triangulations that do not belong to any of the other larger families.
All optional StandardTriangulation routines are implemented for this class.
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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.
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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.
str()
.
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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.