Icosahedron.java

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/*
 * Icosahedron.java
 */
package eu.mihosoft.vrl.v3d;
 
import java.util.ArrayList;
import java.util.List;
 
import eu.mihosoft.vrl.v3d.ext.quickhull3d.HullUtil;
 
public class Icosahedron extends Primitive {
 
    private Vector3d center;
    private double radius;
 
    private boolean centered = true;
 
    private final PropertyStorage properties = new PropertyStorage();
    public Icosahedron() {
        center = new Vector3d(0, 0, 0);
        radius = 1;
    }
 
    public Icosahedron(double size) {
        center = new Vector3d(0, 0, 0);
        radius = size;
    }
 
    public Icosahedron(Vector3d center, double size) {
        this.center = center;
        this.radius = size;
    }
    
    /* (non-Javadoc)
     * @see eu.mihosoft.vrl.v3d.Primitive#toPolygons()
     */
    @Override
    public List<Polygon> toPolygons() {
        if(radius<=0)
            throw new NumberFormatException("radius can not be negative");
        double phi = (Math.sqrt(5)+1)/2;
        
        List<Vector3d> points = new ArrayList<>();
            points.add(new Vector3d(0,1,phi));
            points.add(new Vector3d(0,-1,phi));
            points.add(new Vector3d(phi,0,1));
            points.add(new Vector3d(1,phi,0));
            points.add(new Vector3d(-1,phi,0));
            points.add(new Vector3d(-phi,0,1));
            points.add(new Vector3d(1,-phi,0));
            points.add(new Vector3d(phi,0,-1));
            points.add(new Vector3d(0,1,-phi));
            points.add(new Vector3d(-phi,0,-1));
            points.add(new Vector3d(-1,-phi,0));
            points.add(new Vector3d(0,-1,-phi));
        
        List<Polygon> polygons = HullUtil.hull(points).scale(radius/(Math.sqrt(1+Math.pow(phi, 2)))).getPolygons();
 
        return polygons;
    }
 
    public Vector3d getCenter() {
        return center;
    }
 
    public Icosahedron setCenter(Vector3d center) {
        this.center = center;
        return this;
    }
 
    public double getRadius() {
        return radius;
    }
 
    public void setRadius(double radius) {
        this.radius = radius;
    }
 
    /* (non-Javadoc)
     * @see eu.mihosoft.vrl.v3d.Primitive#getProperties()
     */
    @Override
    public PropertyStorage getProperties() {
        return properties;
    }
 
    public Icosahedron noCenter() {
        centered = false;
        return this;
    }
 
}