Regina Calculation Engine
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Represents a snapped 3-ball in a triangulation. More...
#include <subcomplex/snappedball.h>
Public Member Functions | |
SnappedBall * | clone () const |
Returns a newly created clone of this structure. More... | |
Tetrahedron< 3 > * | tetrahedron () const |
Returns the tetrahedron that forms this snapped ball. More... | |
int | boundaryFace (int index) const |
Returns one of the two tetrahedron faces that forms the boundary of this snapped ball. More... | |
int | internalFace (int index) const |
Returns one of the two tetrahedron faces internal to this snapped ball. More... | |
int | equatorEdge () const |
Returns the edge that forms the equator of the boundary sphere of this ball. More... | |
int | internalEdge () const |
Returns the edge internal to this snapped ball. 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 SnappedBall * | formsSnappedBall (Tetrahedron< 3 > *tet) |
Determines if the given tetrahedron forms a snapped 3-ball within a triangulation. 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... | |
Represents a snapped 3-ball in a triangulation.
A snapped 3-ball is a single tetrahedron with two faces glued to each other to form a 3-ball with a two triangle boundary.
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.