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sketch-a-day/s180106/platonicSolidsClass.pde

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class PlatonicSolid {
void create() {
//implemented by each solid
}
}
class Icosahedron extends PlatonicSolid {
// icosahedron
float x, y, z;
float radius;
PVector topPoint;
PVector[] topPent = new PVector[5];
PVector bottomPoint;
PVector[] bottomPent = new PVector[5];
float angle = 0;
float triDist;
float triHt;
float a, b, c;
// constructor
Icosahedron(float radius) {
this.radius = radius;
c = dist(cos(0)*radius, sin(0)*radius, cos(radians(72))*radius, sin(radians(72))*radius);
b = radius;
a = (float)(Math.sqrt(((c*c)-(b*b))));
triHt = (float)(Math.sqrt((c*c)-((c/2)*(c/2))));
for (int i=0; i<topPent.length; i++) {
topPent[i] = new PVector(cos(angle)*radius, sin(angle)*radius, triHt/2.0f);
angle+=radians(72);
}
topPoint = new PVector(0, 0, triHt/2.0f+a);
angle = 72.0f/2.0f;
for (int i=0; i<topPent.length; i++) {
bottomPent[i] = new PVector(cos(angle)*radius, sin(angle)*radius, -triHt/2.0f);
angle+=radians(72);
}
bottomPoint = new PVector(0, 0, -(triHt/2.0f+a));
}
// draws icosahedron
void create() {
for (int i=0; i<5; i++) {
// icosahedron top
beginShape();
if (i<4) {
vertex(topPent[i].x, topPent[i].y, topPent[i].z);
vertex(topPoint.x, topPoint.y, topPoint.z);
vertex(topPent[i+1].x, topPent[i+1].y, topPent[i+1].z);
} else {
vertex(topPent[i].x, topPent[i].y, topPent[i].z);
vertex(topPoint.x, topPoint.y, topPoint.z);
vertex(topPent[0].x, topPent[0].y, topPent[0].z);
}
endShape(CLOSE);
// icosahedron bottom
beginShape();
if (i<4) {
vertex(bottomPent[i].x, bottomPent[i].y, bottomPent[i].z);
vertex(bottomPoint.x, bottomPoint.y, bottomPoint.z);
vertex(bottomPent[i+1].x, bottomPent[i+1].y, bottomPent[i+1].z);
} else {
vertex(bottomPent[i].x, bottomPent[i].y, bottomPent[i].z);
vertex(bottomPoint.x, bottomPoint.y, bottomPoint.z);
vertex(bottomPent[0].x, bottomPent[0].y, bottomPent[0].z);
}
endShape(CLOSE);
}
// icosahedron body
for (int i=0; i<5; i++) {
if (i<3) {
beginShape();
vertex(topPent[i].x, topPent[i].y, topPent[i].z);
vertex(bottomPent[i+1].x, bottomPent[i+1].y, bottomPent[i+1].z);
vertex(bottomPent[i+2].x, bottomPent[i+2].y, bottomPent[i+2].z);
endShape(CLOSE);
beginShape();
vertex(bottomPent[i+2].x, bottomPent[i+2].y, bottomPent[i+2].z);
vertex(topPent[i].x, topPent[i].y, topPent[i].z);
vertex(topPent[i+1].x, topPent[i+1].y, topPent[i+1].z);
endShape(CLOSE);
} else if (i==3) {
beginShape();
vertex(topPent[i].x, topPent[i].y, topPent[i].z);
vertex(bottomPent[i+1].x, bottomPent[i+1].y, bottomPent[i+1].z);
vertex(bottomPent[0].x, bottomPent[0].y, bottomPent[0].z);
endShape(CLOSE);
beginShape();
vertex(bottomPent[0].x, bottomPent[0].y, bottomPent[0].z);
vertex(topPent[i].x, topPent[i].y, topPent[i].z);
vertex(topPent[i+1].x, topPent[i+1].y, topPent[i+1].z);
endShape(CLOSE);
} else if (i==4) {
beginShape();
vertex(topPent[i].x, topPent[i].y, topPent[i].z);
vertex(bottomPent[0].x, bottomPent[0].y, bottomPent[0].z);
vertex(bottomPent[1].x, bottomPent[1].y, bottomPent[1].z);
endShape(CLOSE);
beginShape();
vertex(bottomPent[1].x, bottomPent[1].y, bottomPent[1].z);
vertex(topPent[i].x, topPent[i].y, topPent[i].z);
vertex(topPent[0].x, topPent[0].y, topPent[0].z);
endShape(CLOSE);
}
}
}
}
class Tetrahedron extends PlatonicSolid {
// Tetrahedron
float x, y, z;
float radius;
float a;
PVector[] vert = new PVector[4];
int[][] faces;
// constructor
Tetrahedron(float radius) {
this.radius = radius;
a = radius*0.6666;
vert[0] = new PVector( a, a, a ); // vertex 1
vert[1] = new PVector(-a, -a, a ); // vertex 2
vert[2] = new PVector(-a, a, -a ); // vertex 3
vert[3] = new PVector( a, -a, -a ); // vertex 4
}
// draws tetrahedron
void create() {
beginShape(TRIANGLE_STRIP);
vertex(vert[0].x, vert[0].y, vert[0].z); // vertex 1
vertex(vert[1].x, vert[1].y, vert[1].z); // vertex 2
vertex(vert[2].x, vert[2].y, vert[2].z); // vertex 3
vertex(vert[3].x, vert[3].y, vert[3].z); // vertex 4
vertex(vert[0].x, vert[0].y, vert[0].z); // vertex 1
vertex(vert[1].x, vert[1].y, vert[1].z); // vertex 2
vertex(vert[3].x, vert[3].y, vert[3].z); // vertex 4
vertex(vert[2].x, vert[2].y, vert[2].z); // vertex 3
vertex(vert[1].x, vert[1].y, vert[1].z); // vertex 2
endShape(CLOSE);
}
}
class Hexahedron extends PlatonicSolid {
// Tetrahedron
float x, y, z;
float radius;
float a;
PVector[] vert = new PVector[8];
int[][] faces;
// constructor
Hexahedron(float radius) {
this.radius = radius;
a = radius/1.1414;
faces = new int[6][4];
vert[0] = new PVector( a, a, a );
vert[1] = new PVector( a, a, -a );
vert[2] = new PVector( a, -a, -a );
vert[3] = new PVector( a, -a, a );
vert[4] = new PVector( -a, -a, a );
vert[5] = new PVector( -a, a, a );
vert[6] = new PVector( -a, a, -a );
vert[7] = new PVector( -a, -a, -a );
faces[0] = new int[] {0, 1, 2, 3};
faces[1] = new int[] {4, 5, 6, 7};
faces[2] = new int[] {0, 3, 4, 5};
faces[3] = new int[] {1, 2, 7, 6};
faces[4] = new int[] {2, 3, 4, 7};
faces[5] = new int[] {0, 5, 6, 1};
}
// draws hexahedron
void create() {
for (int i=0; i<6; i++)
{
beginShape();
for (int j=0; j<4; j++)
{
vertex(vert[faces[i][j]].x, vert[faces[i][j]].y, vert[faces[i][j]].z);
}
endShape();
}
}
}
class Octahedron extends PlatonicSolid {
// Octahedron
float x, y, z;
float radius;
float a;
PVector[] vert = new PVector[6];
int[][] faces;
// constructor
Octahedron(float radius) {
this.radius = radius;
a = radius;
vert[0] = new PVector( a, 0, 0 );
vert[1] = new PVector( 0, a, 0 );
vert[2] = new PVector( 0, 0, a );
vert[3] = new PVector( -a, 0, 0 );
vert[4] = new PVector( 0, -a, 0 );
vert[5] = new PVector( 0, 0, -a );
}
// draws octahedron
void create() {
beginShape(TRIANGLE_FAN);
vertex(vert[4].x, vert[4].y, vert[4].z);
vertex(vert[0].x, vert[0].y, vert[0].z);
vertex(vert[2].x, vert[2].y, vert[2].z);
vertex(vert[3].x, vert[3].y, vert[3].z);
vertex(vert[5].x, vert[5].y, vert[5].z);
vertex(vert[0].x, vert[0].y, vert[0].z);
endShape();
beginShape(TRIANGLE_FAN);
vertex(vert[1].x, vert[1].y, vert[1].z);
vertex(vert[0].x, vert[0].y, vert[0].z);
vertex(vert[2].x, vert[2].y, vert[2].z);
vertex(vert[3].x, vert[3].y, vert[3].z);
vertex(vert[5].x, vert[5].y, vert[5].z);
vertex(vert[0].x, vert[0].y, vert[0].z);
endShape();
}
}
class Dodecahedron extends PlatonicSolid {
// Dodecahedron
float x, y, z;
float radius;
float a, b, c;
PVector[] vert;
int[][] faces;
// constructor
Dodecahedron(float radius) {
this.radius = radius;
a = radius/1.618033989;
b = radius;
c = 0.618033989*a;
faces = new int[12][5];
vert = new PVector[20];
vert[ 0] = new PVector(a, a, a);
vert[ 1] = new PVector(a, a, -a);
vert[ 2] = new PVector(a, -a, a);
vert[ 3] = new PVector(a, -a, -a);
vert[ 4] = new PVector(-a, a, a);
vert[ 5] = new PVector(-a, a, -a);
vert[ 6] = new PVector(-a, -a, a);
vert[ 7] = new PVector(-a, -a, -a);
vert[ 8] = new PVector(0, c, b);
vert[ 9] = new PVector(0, c, -b);
vert[10] = new PVector(0, -c, b);
vert[11] = new PVector(0, -c, -b);
vert[12] = new PVector(c, b, 0);
vert[13] = new PVector(c, -b, 0);
vert[14] = new PVector(-c, b, 0);
vert[15] = new PVector(-c, -b, 0);
vert[16] = new PVector(b, 0, c);
vert[17] = new PVector(b, 0, -c);
vert[18] = new PVector(-b, 0, c);
vert[19] = new PVector(-b, 0, -c);
faces[ 0] = new int[] {0, 16, 2, 10, 8};
faces[ 1] = new int[] {0, 8, 4, 14, 12};
faces[ 2] = new int[] {16, 17, 1, 12, 0};
faces[ 3] = new int[] {1, 9, 11, 3, 17};
faces[ 4] = new int[] {1, 12, 14, 5, 9};
faces[ 5] = new int[] {2, 13, 15, 6, 10};
faces[ 6] = new int[] {13, 3, 17, 16, 2};
faces[ 7] = new int[] {3, 11, 7, 15, 13};
faces[ 8] = new int[] {4, 8, 10, 6, 18};
faces[ 9] = new int[] {14, 5, 19, 18, 4};
faces[10] = new int[] {5, 19, 7, 11, 9};
faces[11] = new int[] {15, 7, 19, 18, 6};
}
// draws dodecahedron
void create() {
for (int i=0; i<12; i++)
{
beginShape();
for (int j=0; j<5; j++)
{
vertex(vert[faces[i][j]].x, vert[faces[i][j]].y, vert[faces[i][j]].z);
}
endShape();
}
}
}
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