Regina 7.3.1 Calculation Engine
normalsurface.h File Reference

Deals with an individual normal surface in a 3-manifold triangulation. More...

#include <optional>
#include <utility>
#include "regina-core.h"
#include "core/output.h"
#include "maths/perm.h"
#include "maths/vector.h"
#include "packet/packet.h"
#include "surface/disctype.h"
#include "surface/normalcoords.h"
#include "triangulation/forward.h"
#include "utilities/boolset.h"
#include "utilities/snapshot.h"
#include "triangulation/dim3.h"

Classes

class  regina::NormalSurface
 Represents a single normal surface in a 3-manifold triangulation. More...
 

Namespaces

namespace  regina
 Contains the entire Regina calculation engine.
 

Functions

void regina::swap (NormalSurface &a, NormalSurface &b) noexcept
 Swaps the contents of the given normal surfaces.
 

Variables

constexpr int regina::quadSeparating [4][4]
 Lists which quadrilateral types separate which pairs of vertices in a tetrahedron.
 
constexpr int regina::quadMeeting [4][4][2]
 Lists which quadrilateral types meet which edges in a tetrahedron.
 
constexpr int regina::quadDefn [3][4]
 Lists which vertices each quadrilateral type separates in a tetrahedron.
 
constexpr int regina::quadPartner [3][4]
 Lists the second vertex with which each vertex is paired under each quadrilateral type in a tetrahedron.
 
const std::string regina::quadString [3] = { "01/23", "02/13", "03/12" }
 Contains strings that can be used to represent each quadrilateral type in a tetrahedron.
 
constexpr Perm< 4 > regina::triDiscArcs [4][3]
 Lists in consecutive order the directed normal arcs that form the boundary of each type of triangular normal disc.
 
constexpr Perm< 4 > regina::quadDiscArcs [3][4]
 Lists in consecutive order the directed normal arcs that form the boundary of each type of quadrilateral normal disc.
 
constexpr Perm< 4 > regina::octDiscArcs [3][8]
 Lists in consecutive order the directed normal arcs that form the boundary of each type of octagonal normal disc.
 

Detailed Description

Deals with an individual normal surface in a 3-manifold triangulation.


Copyright © 1999-2025, 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).