ProGAL.geom3d.volumes

Class Tetrahedron

java.lang.Object

ProGAL.geom3d.volumes.Tetrahedron

All Implemented Interfaces:

Shape, Simplex, Volume

Direct Known Subclasses:

CTetrahedron, Tetr

public class Tetrahedron
extends java.lang.Object
implements Simplex, Volume

A tetrahedron is a polyhedron with four triangular faces. It is defined using four corner-points.

Field Summary

Fields

Modifier and Type	Field and Description
protected Point[]	corners

Constructor Summary

Constructors

Constructor and Description
Tetrahedron(Point[] corners)
Tetrahedron(Point p1, Point p2, Point p3, Point p4)

Method Summary

Modifier and Type	Method and Description
void	blowUp(double t)
Point	circumCenter() Find the center of the circumscribing sphere.
double	circumRadius() Calculate the radius of the circumsphere.
Sphere	circumSphere() Find the circumscribing sphere
Volume	clone() Make a deep clone this volume.
Point	getCenter() Get the geometric center of the shape.
Triangle	getCommonTriangle(Tetrahedron t) Return common triangle of 2 tetrahedra
Point	getCorner(int c) Return the specified corner.
Point[]	getCorners() Return all four corners
int	getDimension() Return the 'dimension' of this object.
double	getInradius() Calculate the radius of the insphere.
Point	getPoint(int c) Return the specified corner-point.
double	getVolume() Get the volume of the tetrahedron.
Point	incenter() Find the center of the inscribed sphere.
boolean	isAcute()
boolean	isInside(Point p) Returns true if the point p is inside this tetrahedron.
static void	main(java.lang.String[] args)
boolean	overlaps(Volume vol) Determine if this volume overlaps vol.
static Tetrahedron	regularTetrahedron()
void	setPoint(int c, Point point) TODO: Comment
void	toConsole() Writes this tetrahedron to System.out.
void	toConsole(int dec) Writes this tetrahedron to System.out with dec decimals precision.
java.lang.String	toString() Return a string representation of this tetrahedron.
java.lang.String	toString(int dec) Return a string representation of this tetrahedron with dec decimals precision
void	translate(double x, double y, double z)
void	translate(Point q)
void	translate(Vector v)

Methods inherited from class java.lang.Object

equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

corners

protected Point[] corners

Constructor Detail

Tetrahedron

public Tetrahedron(Point p1,
                   Point p2,
                   Point p3,
                   Point p4)

Tetrahedron

public Tetrahedron(Point[] corners)

Method Detail

regularTetrahedron

public static Tetrahedron regularTetrahedron()

getCorner

public Point getCorner(int c)

Return the specified corner. Throws an error if c<0 || c>3.

getCorners

public Point[] getCorners()

Return all four corners

translate

public void translate(Vector v)

translate

public void translate(Point q)

translate

public void translate(double x,
                      double y,
                      double z)

blowUp

public void blowUp(double t)

getPoint

public Point getPoint(int c)

Return the specified corner-point. Throws an error if c<0 || c>3.

Specified by:

getPoint in interface Simplex

getDimension

public int getDimension()

Return the 'dimension' of this object. Required by the interface Simplex.

Specified by:

getDimension in interface Simplex

setPoint

public void setPoint(int c,
                     Point point)

TODO: Comment

overlaps

public boolean overlaps(Volume vol)

Description copied from interface: Volume

Determine if this volume overlaps vol. Two volumes overlap if their surfaces touch or if the union of interiors is non-empty.

Specified by:

overlaps in interface Volume

getVolume

public double getVolume()

Get the volume of the tetrahedron.

Specified by:

getVolume in interface Volume

getCommonTriangle

public Triangle getCommonTriangle(Tetrahedron t)

Return common triangle of 2 tetrahedra

getInradius

public double getInradius()

Calculate the radius of the insphere.

circumRadius

public double circumRadius()

Calculate the radius of the circumsphere.

circumCenter

public Point circumCenter()

Find the center of the circumscribing sphere.

circumSphere

public Sphere circumSphere()

Find the circumscribing sphere

incenter

public Point incenter()

Find the center of the inscribed sphere.

getCenter

public Point getCenter()

Description copied from interface: Shape

Get the geometric center of the shape. The center of a shape can be interpreted in many ways (center of mass, circumcenter, inscribed center etc.). No strict requirement is given here, but typically the circumcenter should be supplied. This method is most prominently used to find the average center-position of a collection of shapes such that scene-viewers can be centered on the scene.

Specified by:

getCenter in interface Shape

isInside

public boolean isInside(Point p)

Returns true if the point p is inside this tetrahedron.

isAcute

public boolean isAcute()

clone

public Volume clone()

Description copied from interface: Volume

Make a deep clone this volume.

Specified by:

clone in interface Volume

Overrides:

clone in class java.lang.Object

toString

public java.lang.String toString()

Return a string representation of this tetrahedron.

Overrides:

toString in class java.lang.Object

toString

public java.lang.String toString(int dec)

Return a string representation of this tetrahedron with dec decimals precision

toConsole

public void toConsole()

Writes this tetrahedron to System.out.

toConsole

public void toConsole(int dec)

Writes this tetrahedron to System.out with dec decimals precision.

main

public static void main(java.lang.String[] args)