TriangularLattice: A 2D triangulation of a plane¶
- class simplicial.TriangularLattice(r, c)¶
A triangular simplicial tiling of a plane. Triangular lattices have simplices of order 0, 1, and 2, connecting the 0-simplices very regularly.
- Parameters
r (
int) – the number of rowsc (
int) – the number of columns
- TriangularLattice.rows()¶
Return the number of rows in the lattice.
- Return type
int- Returns
the number of rows
- TriangularLattice.columns()¶
Return the number of columns in the lattice.
- Return type
int- Returns
the number of columns
Embedding the lattice¶
- class simplicial.TriangularLatticeEmbedding(c, h=1.0, w=1.0)¶
A regular embedding of a triangular lattice into a plane. The default is to embed into a unit plane, but this can be scaled as required. The lattice can be distorted by providing explicit positions for 0-simplices as required.
- Parameters
c (
SimplicialComplex) – the complexh (
float) – height of the plane (defaults to 1.0)w (
float) – width of the plane (defaults to 1.0)
- TriangularLatticeEmbedding.height()¶
Return the height of the lattice.
- Return type
float- Returns
the height of the lattice
- TriangularLatticeEmbedding.width()¶
Return the width of the lattice.
- Return type
float- Returns
the width of the lattice
The actual embedding divides the plane containing to lattice into roiws and colums, indenting the position of each odd row to form even triangles.
- TriangularLatticeEmbedding.computePositionOf(s)¶
Compute the position of the given simplex.
- Parameters
s (
Any) – the simplex- Return type
List[float]- Returns
the position of the simplex