RhombicDodecahedron Class Reference

A rhombic dodecahedron. More...

#include <dodecahedron.h>

Public Member Functions
	RhombicDodecahedron (const double &=1.0)
	Create a dodecahedron.
	RhombicDodecahedron (const Vector &, const double &)
	Create a rhombic dodecahedron.
double	Volume () const
	Compute the volume of the dodecahedron.
double	Area () const
	Compute the area of the rhombic dodecahedron.
double	Radius () const
	Compute the radius of the circmscribed sphere of the rhombic-dodecahedron.
Box	GetBox () const
	Return the bounding box of the shape.
bool	Inside (const Vector &) const
	Check if a point is inside.
Vector	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the rhombic dodecahedron.
double	Signed (const Vector &) const
	Compute the approximate signed distance to the rhombic dodecahedron.

Protected Attributes
Vector	c = Vector::Null
	Center of dodecahedron.
double	r = 1.0
	Radius, i.e. radius of the sphere passing through the eight order-tree vertexex, which is equal to the edge length.

Detailed Description

A rhombic dodecahedron.

The rhombic dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of 2 types. As a Catalan solid, it is the dual polyhedron of the cuboctahedron.

Constructor & Destructor Documentation

RhombicDodecahedron() [1/2]

RhombicDodecahedron::RhombicDodecahedron ( const double & r = 1.0 )

explicit

Create a dodecahedron.

Parameters

r

Radius.

RhombicDodecahedron() [2/2]

RhombicDodecahedron::RhombicDodecahedron ( const Vector & c, const double & r )

explicit

Create a rhombic dodecahedron.

Parameters

c	Center.
r	Radius.

Member Function Documentation

Inside()

bool RhombicDodecahedron::Inside

(

const Vector &

p

)

const

Check if a point is inside.

Parameters

p	The point.

RandomInside()

Vector RhombicDodecahedron::RandomInside

(

Random &

random = Random::R239

)

const

Generate a random vector inside the rhombic dodecahedron.

Uses a simple rejection method.

Parameters

random

Random number generator.

Signed()

double RhombicDodecahedron::Signed

(

const Vector &

p

)

const

Compute the approximate signed distance to the rhombic dodecahedron.

Parameters

p

Point.