Struct: RT.Coordinates.Cairo

• Assembly: RT.Coordinates, Version=3.0.0.0, Culture=neutral, PublicKeyToken=null
• Namespace: RT.Coordinates
• Show inherited types...
  Inherits from:

  • System.ValueType
    • object
• Show implemented interfaces...
  Implements:

  • System.IEquatable<RT.Coordinates.Cairo> (directly)
  • RT.Coordinates.IHasSvgGeometry (directly)
  • RT.Coordinates.INeighbor<RT.Coordinates.Cairo> (directly)
  • RT.Coordinates.INeighbor<object> (directly)

Summary

Represents a cell in a Cairo.Grid. The gridlines form an interlocking pattern of perpendicular stretched hexagons. Each cairo is an irregular pentagon, one vertex of which can be thought of as the center of a square, while the vertex two clockwise from that is a vertex of the same square. The remaining vertices are off from the square’s edge but in such a way that 4 cairos make a flower-like shape which tiles the plane in a rectilinear pattern.

Remarks

The length of each side of the pentagons is √2 (√7 − 1)/3, or about .7758146. The inner angles of each pentagon are: 2π − 2arccos((1 − √(7))/4) (apex; about 131.409°), 90°, arccos((1 − √(7))/4) (about 114.296°), arccos((1 − √(7))/4) again, and 90° again.

The following shows the derivation of these quantities and the point coordinates. This diagram assumes a side length of 1 for the underlying square. The code assumes 2, i.e., it scales it up by a factor of 2.

Constructors

Cairo(Square cell, Cairo.Position pos)	Constructor.
Cairo(int x, int y, Cairo.Position pos)	Constructor.

Instance methods

bool	Equals(Cairo other) Implements: IEquatable<Cairo>.Equals(Cairo)	Refer to the documentation for IEquatable<Cairo>.Equals.
bool	Equals(object obj) Overrides: object.Equals(object)	Refer to the documentation for object.Equals.
int	GetHashCode() Overrides: object.GetHashCode()	Refer to the documentation for object.GetHashCode.
string	ToString() Overrides: object.ToString()	Refer to the documentation for object.ToString.

Static methods

IEnumerable<Cairo>

Rectangle(int width, int height)

Constructs a grid of the specified width and height and divides each square into four Cairo cells.

Operators

bool	operator==(Cairo one, Cairo two)	Equality operator.
bool	operator!=(Cairo one, Cairo two)	Inequality operator.

Instance properties

Square	Cell	Identifies a square. Each cairo forms one quarter of this square.
PointD	Center Implements: IHasSvgGeometry.Center	Refer to the documentation for IHasSvgGeometry.Center.
IEnumerable<Link<Vertex>>	Edges Implements: IHasSvgGeometry.Edges	Refer to the documentation for IHasSvgGeometry.Edges.
IEnumerable<Cairo>	Neighbors Implements: INeighbor<Cairo>.Neighbors	Refer to the documentation for INeighbor<Cairo>.Neighbors.
Cairo.Position	Pos	Identifies which cairo within Cairo.Cell this is.
Vertex[]	Vertices	Returns the vertices along the perimeter of this Cairo, going clockwise from the vertex at the center of Cairo.Cell.

Nested types

Grid	Describes a grid structure consisting of Cairo cells that join up in groups of 4 to form a pattern that tiles the plane.
Position	Identifies one of the Cairo cells that make up a square.
Vertex	Describes one of the vertices of a Cairo.