C# Class R3.Geometry.CoxeterImages

ファイルを表示 Open project: roice3/Honeycombs Class Usage Examples

Private Properties

Property	Type	Description
ApplyTransformation	Vector3D
ApplyTransformationToSphere	Vector3D
AvgColor	System.Drawing.Color
BandModel	Vector3D
CalcColor	System.Drawing.Color
ColorFunc	System.Drawing.Color
DistToBorder	double
DrawMirrors	void
NearBoundary	bool
PlaneModelToBall	Vector3D
ReflectAcrossMirror	bool
ReflectAcrossMirrors	bool
ReflectToFundamental	bool
Sigmoid	double
Small	bool
WhiteBoundary	R3.Geometry.Sphere[]

Public Methods

Method	Description
AlteredFacetForTrueApparent2DTilings ( Sphere simplex ) : Sphere	This will return an altered facet to create true apparent 2D tilings (proper bananas) on the boundary. Notes: The input simplex must be in the ball model. The first mirror of the simplex (the one that mirrors across cells) is the one we end up altering.
AutoCalcScale ( Settings settings ) : RecursionStat[]
EquidistantOffset ( Geometry g, Segment seg, double offset ) : Circle	Same as above, but works with all geometries.
EquidistantOffset ( Segment seg, double offset ) : Circle3D	This is a 2D function for now. Given an input geodesic in the plane, returns an equidistant circle. Offset would be the offset at the origin.
GenImage ( Settings settings, double t = 0.0 ) : void	Generate an image.
GeodesicOffset ( Sphere s, double offset, bool ball = true ) : Sphere

Private Methods

Method	Description
ApplyTransformation ( Vector3D v, double t = 0.0 ) : Vector3D	Using this to move the view around in interesting ways.
ApplyTransformationToSphere ( Vector3D v, double t ) : Vector3D
AvgColor ( List colors ) : Color
BandModel ( Vector3D v ) : Vector3D
CalcColor ( Settings settings, Vector3D &v, int &cellFlips ) : Color
ColorFunc ( Sphere boundary, Vector3D v, int reflections, double colorScaling, bool invert = false ) : Color
DistToBorder ( Settings settings, int i, int j ) : double
DrawMirrors ( Bitmap image, Settings settings ) : void
NearBoundary ( Settings settings, int i, int j ) : bool
PlaneModelToBall ( Vector3D v, double t = 0.0 ) : Vector3D	This allows us to change the model we have on the plane. We usually want UHS, but for Pov-Ray mapping these images to a sphere, we need to have it be an equirectangular projection NOTE: The bounds should be set to 1.0 for this to work! v.X and v.Y must be in-between -1 and 1. (also, don't rotate simplex mirrors, for POV-Ray anyway)
ReflectAcrossMirror ( Sphere mirrors, Vector3D &v, int idx, int &flips ) : bool
ReflectAcrossMirrors ( Sphere mirrors, Vector3D &v, int indices, int &flips, int &iterationCount ) : bool
ReflectToFundamental ( Settings settings, Vector3D &v, int &cellFlips, int &totalFlips ) : bool	Somewhat based on http://commons.wikimedia.org/wiki/User:Tamfang/programs
Sigmoid ( double input ) : double	http://www.wolframalpha.com/input/?i=1%2F+%281%2Be%5E%28-10*%28x-0.5%29%29%29
Small ( Settings settings, List points, int i, int j, int cellFlips ) : bool
WhiteBoundary ( Settings settings ) : R3.Geometry.Sphere[]	Grabs the portion of the fundamental region we want to remain white.

Method Details

AlteredFacetForTrueApparent2DTilings() public static method

This will return an altered facet to create true apparent 2D tilings (proper bananas) on the boundary. Notes: The input simplex must be in the ball model. The first mirror of the simplex (the one that mirrors across cells) is the one we end up altering.

public static AlteredFacetForTrueApparent2DTilings ( Sphere simplex ) : Sphere
simplex	Sphere
return	Sphere

AutoCalcScale() public method

public AutoCalcScale ( Settings settings ) : RecursionStat[]
settings	Settings
return	RecursionStat[]

EquidistantOffset() public static method

Same as above, but works with all geometries.

public static EquidistantOffset ( Geometry g, Segment seg, double offset ) : Circle
g	Geometry
seg	Segment
offset	double
return	Circle

EquidistantOffset() public static method

This is a 2D function for now. Given an input geodesic in the plane, returns an equidistant circle. Offset would be the offset at the origin.

public static EquidistantOffset ( Segment seg, double offset ) : Circle3D
seg	Segment
offset	double
return	Circle3D

GenImage() public method

Generate an image.

public GenImage ( Settings settings, double t = 0.0 ) : void
settings	Settings
t	double	An optional time parameter, for use in animations. /// This value should be between 0 and 1, inclusive.
return	void

GeodesicOffset() public static method

public static GeodesicOffset ( Sphere s, double offset, bool ball = true ) : Sphere
s	Sphere
offset	double
ball	bool
return	Sphere