Regina Calculation Engine
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Represents a 2-sphere made from two snapped 3-balls in a triangulation. More...
#include <subcomplex/snappedtwosphere.h>
Public Member Functions | |
~SnappedTwoSphere () | |
Destroys this snapped 2-sphere; note that the corresponding snapped 3-balls will also be destroyed. More... | |
SnappedTwoSphere * | clone () const |
Returns a newly created clone of this structure. More... | |
const SnappedBall * | snappedBall (int index) const |
Returns one of the two snapped 3-balls whose equators are joined. More... | |
void | writeTextShort (std::ostream &out) const |
Writes a short text representation of this object to the given output stream. More... | |
SnappedTwoSphere (const SnappedTwoSphere &)=delete | |
SnappedTwoSphere & | operator= (const SnappedTwoSphere &)=delete |
void | writeTextLong (std::ostream &out) const |
A default implementation for detailed output. 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 SnappedTwoSphere * | formsSnappedTwoSphere (Tetrahedron< 3 > *tet1, Tetrahedron< 3 > *tet2) |
Determines if the two given tetrahedra together form a snapped 2-sphere. More... | |
static SnappedTwoSphere * | formsSnappedTwoSphere (SnappedBall *ball1, SnappedBall *ball2) |
Determines if the two given snapped 3-balls together form a snapped 2-sphere. More... | |
Represents a 2-sphere made from two snapped 3-balls in a triangulation.
This occurs when two snapped 3-balls are glued together at their equators (note that this gluing does not have to extend to triangular faces). Each 3-ball has a central disc (bounded by the 3-ball's equator and bisecting its internal edge), and these two discs together form an embedded 2-sphere in the triangulation.
This 2-sphere can be cut along and the two resulting 2-sphere boundaries filled in with 3-balls, and the resulting triangulation has the same number of tetrahedra as the original. If the snapped 2-sphere was separating, the resulting triangulation will contain the two terms of the corresponding connected sum.
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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.
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inlineinherited |
A default implementation for detailed output.
This routine simply calls T::writeTextShort() and appends a final newline.
out | the output stream to which to write. |