Class GridSymmetry

Defines a mapping that maps the cells of a grid onto themselves, potentially rotated. This is used to describe reflections and rotations of a grid (as apposed to CellRotation, which just talks about what you can do to a single cell alone).

Use IGrid.TryApplySymmetry to evaluate the map.

The mapping is consistent with the topology of the grid, i.e.

  • Let s by any grid symmetry,
  • Let a, and b be any cells, with b is a neighbour of a, in direction d.
  • Then if ma, ra is the cell and rotation from applying s to a, and likewise mb, rb for apply s to b.
  • Then mb is a neighbour of ma, in direciton ra * d.

The consistency property means that the mapping are fully specified over an entire connected grid once you know how it applies to a single cell. All the other cells can be computed via ParallelTransport(IGrid, Cell, Cell, IGrid, Cell, CellRotation, out Cell, out CellRotation).

In practice, symmetries on regular grids can be easily computed using vector maths operations.

Inheritance
object
GridSymmetry
Inherited Members
Namespace: Sylves
Assembly: Sylves.dll
Syntax
public class GridSymmetry

Constructors

GridSymmetry()

Declaration
public GridSymmetry()

Properties

Dest

Declaration
public Cell Dest { get; set; }
Property Value
Type Description
Cell

Rotation

Declaration
public CellRotation Rotation { get; set; }
Property Value
Type Description
CellRotation

Src

Declaration
public Cell Src { get; set; }
Property Value
Type Description
Cell