1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
|
/*
* Icosahedron.java
* TCSS 491 Computational Worlds
* Phillip Cardon
*/
package tesseract.objects;
import java.awt.Color;
import javax.media.j3d.Appearance;
import javax.media.j3d.ColoringAttributes;
import javax.media.j3d.GeometryArray;
import javax.media.j3d.Material;
import javax.media.j3d.Shape3D;
import javax.media.j3d.TransformGroup;
import javax.media.j3d.TriangleArray;
import javax.vecmath.Color3f;
import javax.vecmath.Point3f;
import javax.vecmath.Vector3f;
import com.sun.j3d.utils.geometry.GeometryInfo;
import com.sun.j3d.utils.geometry.NormalGenerator;
/**
* Represents an Icosahedron, a 20 sided object who's
* faces are all equal equilateral triangles.
* @author Phillip Cardon
* @version 1.1a
*/
public class Icosahedron extends PhysicalObject {
//CONSTANTS
/**
* Angle to stop checking normals.
*/
private static final int MAX_ANGLE = 120;
/**
* Default Icosohedran Scale.
*/
public static final float DEFAULT_SCALE = 0.1f;
/**
* Vertex count in Icosohedran.
*/
private static final int NUM_VERTEX = 12;
/**
* Golden ratio for calculating points.
*/
private static final float GOLDEN_RATIO = (float) ((1.0 + Math.sqrt(5.0))
/ 2.0);
/**
* Default Object color.
*/
private static final Color3f DEFAULT_COLOR = new Color3f(.9f, .05f, .05f);
/**
* User definable color.
*/
private final Color3f myColor;
//CONSTRUCTORS
/**
* Create new Icosahedron.
* @param position start position.
* @param mass start mass.
* @param scale of object.
* @param theColor of object.
*/
public Icosahedron(final Vector3f position, final float mass,
final float scale, final Color theColor) {
super(position, mass);
myColor = new Color3f(theColor);
setShape(buildIcosahedron(scale));
if (inverseMass != 0) {
final float radius = (float) (scale * Math.sqrt(GOLDEN_RATIO * GOLDEN_RATIO + 1));
inverseInertiaTensor.m00 = 2f / 5 / inverseMass * radius * radius;
inverseInertiaTensor.m11 = inverseInertiaTensor.m00;
inverseInertiaTensor.m22 = inverseInertiaTensor.m00;
inverseInertiaTensor.invert();
}
}
/**
* Create new Icosahedron.
* @param position start position.
* @param mass start mass.
* @param scale of object.
*/
public Icosahedron(final Vector3f position, final float mass,
final float scale) {
this(position, mass, scale, DEFAULT_COLOR.get());
}
/**
* Create new Icosahedron.
* @param position Initial Position.
* @param mass object mass.
*/
public Icosahedron(final Vector3f position, final float mass) {
this(position, mass, DEFAULT_SCALE);
}
/**
* Builds Icosahedron.
* @param scale of Icosahedron
* @return shape object
*/
public Shape3D buildIcosahedron(final float scale) {
Point3f[] coordinates = new Point3f[NUM_VERTEX];
float phi = GOLDEN_RATIO;
int i = 0;
// Y / Z Plane coordinates
coordinates[i++] = new Point3f(0f, 1.0f, phi); //0
coordinates[i++] = new Point3f(0f, 1.0f, -1 * phi);
coordinates[i++] = new Point3f(0f, -1.0f, -1 * phi);
coordinates[i++] = new Point3f(0f, -1.0f, phi);
// X / Y Plane coordinates
coordinates[i++] = new Point3f(1f, phi, 0); //4
coordinates[i++] = new Point3f(-1f, phi, 0);
coordinates[i++] = new Point3f(1f, -1 * phi, 0);
coordinates[i++] = new Point3f(-1f, -1 * phi, 0);
// X / Z Plane coordinates
coordinates[i++] = new Point3f(phi, 0, 1f); //8
coordinates[i++] = new Point3f(phi, 0, -1f);
coordinates[i++] = new Point3f(-1 * phi, 0, 1f);
coordinates[i++] = new Point3f(-1 * phi, 0, -1f);
// Scaling
for (int it = 0; it < coordinates.length; it++) {
coordinates[it].scale(Math.min(DEFAULT_SCALE, scale));
}
GeometryArray die = new TriangleArray(((NUM_VERTEX / 2) - 1)
* coordinates.length, GeometryArray.COORDINATES);
int index = 0;
//Builds triangles
die.setCoordinate(index++, coordinates[0]);
die.setCoordinate(index++, coordinates[8]);
die.setCoordinate(index++, coordinates[4]);
die.setCoordinate(index++, coordinates[0]);
die.setCoordinate(index++, coordinates[4]);
die.setCoordinate(index++, coordinates[5]);
die.setCoordinate(index++, coordinates[0]);
die.setCoordinate(index++, coordinates[5]);
die.setCoordinate(index++, coordinates[10]);
die.setCoordinate(index++, coordinates[0]);
die.setCoordinate(index++, coordinates[10]);
die.setCoordinate(index++, coordinates[3]);
die.setCoordinate(index++, coordinates[0]);
die.setCoordinate(index++, coordinates[3]);
die.setCoordinate(index++, coordinates[8]);
die.setCoordinate(index++, coordinates[8]);
die.setCoordinate(index++, coordinates[9]);
die.setCoordinate(index++, coordinates[4]);
die.setCoordinate(index++, coordinates[4]);
die.setCoordinate(index++, coordinates[9]);
die.setCoordinate(index++, coordinates[1]);
die.setCoordinate(index++, coordinates[4]);
die.setCoordinate(index++, coordinates[1]);
die.setCoordinate(index++, coordinates[5]);
die.setCoordinate(index++, coordinates[5]);
die.setCoordinate(index++, coordinates[1]);
die.setCoordinate(index++, coordinates[11]);
die.setCoordinate(index++, coordinates[5]);
die.setCoordinate(index++, coordinates[11]);
die.setCoordinate(index++, coordinates[10]);
die.setCoordinate(index++, coordinates[10]);
die.setCoordinate(index++, coordinates[11]);
die.setCoordinate(index++, coordinates[7]);
die.setCoordinate(index++, coordinates[10]);
die.setCoordinate(index++, coordinates[7]);
die.setCoordinate(index++, coordinates[3]);
die.setCoordinate(index++, coordinates[3]);
die.setCoordinate(index++, coordinates[7]);
die.setCoordinate(index++, coordinates[6]);
die.setCoordinate(index++, coordinates[3]);
die.setCoordinate(index++, coordinates[6]);
die.setCoordinate(index++, coordinates[8]);
die.setCoordinate(index++, coordinates[8]);
die.setCoordinate(index++, coordinates[6]);
die.setCoordinate(index++, coordinates[9]);
die.setCoordinate(index++, coordinates[9]);
die.setCoordinate(index++, coordinates[2]);
die.setCoordinate(index++, coordinates[1]);
die.setCoordinate(index++, coordinates[1]);
die.setCoordinate(index++, coordinates[2]);
die.setCoordinate(index++, coordinates[11]);
die.setCoordinate(index++, coordinates[11]);
die.setCoordinate(index++, coordinates[2]);
die.setCoordinate(index++, coordinates[7]);
die.setCoordinate(index++, coordinates[7]);
die.setCoordinate(index++, coordinates[2]);
die.setCoordinate(index++, coordinates[6]);
die.setCoordinate(index++, coordinates[6]);
die.setCoordinate(index++, coordinates[2]);
die.setCoordinate(index++, coordinates[9]);
TransformGroup trans = new TransformGroup();
NormalGenerator norms = new NormalGenerator(MAX_ANGLE);
GeometryInfo geo = new GeometryInfo(die);
norms.generateNormals(geo);
Shape3D shape = new Shape3D(geo.getGeometryArray());
Appearance meshApp = new Appearance();
Material surface = new Material();
surface.setDiffuseColor(myColor);
meshApp.setMaterial(surface);
meshApp.setColoringAttributes(new ColoringAttributes(myColor,
ColoringAttributes.NICEST));
shape.setAppearance(meshApp);
return shape;
}
}
|
