Regina Calculation Engine
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Details how a subdim-face of a dim-dimensional triangulation appears within each top-dimensional simplex. More...
#include <triangulation/generic.h>
Public Member Functions | |
FaceEmbedding ()=default | |
Default constructor. More... | |
FaceEmbedding (Simplex< dim > *simplex, int face) | |
Creates a new object containing the given data. More... | |
FaceEmbedding (const FaceEmbedding &cloneMe)=default | |
Creates a new copy of the given object. More... | |
FaceEmbedding & | operator= (const FaceEmbedding &cloneMe)=default |
Sets this to be a copy of the given object. More... | |
Details how a subdim-face of a dim-dimensional triangulation appears within each top-dimensional simplex.
For small-dimensional faces, this class is typically described using dimension-specific type aliases: VertexEmbedding<dim>, EdgeEmbedding<dim>, TriangleEmbedding<dim>, TetrahedronEmbedding<dim> and PentachoronEmbedding<dim> refer to the cases subdim = 0, 1, 2, 3 and 4 respectively.
For a dim-dimensional triangulation T, each subdim-face F typically belongs to many top-dimensional simplices of T, and therefore has many associated FaceEmbedding objects. These individual FaceEmbedding objects correspond to the top-dimensional simplices of the link of F (which is a (dim - subdim - 1)-dimensional triangulation).
If dim is one of Regina's standard dimensions, then this template is specialised to offer additional dimension-specific aliases. In order to use these specialised classes, you will need to include the corresponding triangulation headers (e.g., triangulation/dim2.h for dim = 2, or triangulation/dim3.h for dim = 3).
dim | the dimension of the underlying triangulation. This must be between 2 and 15 inclusive. |
subdim | the dimension of the faces of the underlying triangulation. This must be between 0 and dim-1 inclusive. |