Package etomica.math.geometry

Class Polyhedron

java.lang.Object

etomica.math.geometry.Polytope

etomica.math.geometry.Polyhedron

All Implemented Interfaces:

Shape

Direct Known Subclasses:

Hexahedron, PolyhedronGeneral, TruncatedOctahedron

public abstract class Polyhedron
extends Polytope

Representation of a mathematical polyhedron, a 3-dimensional polytope. Contains all information needed to represent a polyhedron, methods to set its position and orientation, and methods that return an external representation of it. Provides no external means to change the polyhedron size and shape, as the form and capabilities of mutator methods are particular to the type of polyhedron defined by the subclass.

See Also:

Serialized Form

Field Summary

Fields

Modifier and Type	Field	Description
protected LineSegment[]	edges
protected Polygon[]	faces

Fields inherited from class etomica.math.geometry.Polytope

D, embeddedSpace, hyperPlanes, position, vertices

Constructor Summary

Constructors

Modifier	Constructor	Description
protected	Polyhedron(Polygon[] faces)	Constructs a polyhedron with the given faces for its sides.

Method Summary

Modifier and Type	Method	Description
double	distanceTo(Vector r)	Returns the perpendicular distance to the nearest face of the polyhedron.
LineSegment[]	getEdges()	Returns all edges defined by the polyhedron.
Polygon[]	getFaces()	Returns all faces defined by the polyhedron.
double	getPerimeter()	Returns the sum of the length of the edges of the polyhedron
double	getSurfaceArea()	Returns the sum the area of the faces of the polyhedron

Methods inherited from class java.lang.Object

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

Methods inherited from class etomica.math.geometry.Polytope

applyTranslationRotation, contains, D, getEmbeddedSpace, getPosition, getVertexCount, getVertices, getVolume, setPosition, toString, updateVertices

Field Detail

edges

protected final LineSegment[] edges

faces

protected final Polygon[] faces

Constructor Detail

Polyhedron

protected Polyhedron(Polygon[] faces)

Constructs a polyhedron with the given faces for its sides. Faces should be constructed so they have the correct sharing of edges between adjacent faces, and sharing of vertices between intersecting edges.

Method Detail

getFaces

public Polygon[] getFaces()

Returns all faces defined by the polyhedron.

getEdges

public LineSegment[] getEdges()

Returns all edges defined by the polyhedron.

Specified by:

getEdges in class Polytope

getPerimeter

public double getPerimeter()

Returns the sum of the length of the edges of the polyhedron

getSurfaceArea

public double getSurfaceArea()

Returns the sum the area of the faces of the polyhedron

distanceTo

public double distanceTo(Vector r)

Returns the perpendicular distance to the nearest face of the polyhedron. Assumes that given point is contained in polyhedron; if not, returns NaN.

Parameters:

r -

Returns: