public static Icosahedron Generate()
{
float t = (float)((1.0f + System.Math.Sqrt(5.0f)) / 2.0f);
float s = (float)(System.Math.Sqrt(1.0f + (t * t)));
var R = new Icosahedron();
R.Verticies = new List <Vector3> {
MakeVert(t, 1, 0) / s,
MakeVert(-t, 1, 0) / s,
MakeVert(t, -1, 0) / s,
MakeVert(-t, -1, 0) / s,
MakeVert(1, 0, t) / s,
MakeVert(1, 0, -t) / s,
MakeVert(-1, 0, t) / s,
MakeVert(-1, 0, -t) / s,
MakeVert(0, t, 1) / s,
MakeVert(0, -t, 1) / s,
MakeVert(0, t, -1) / s,
MakeVert(0, -t, -1) / s
};
R.Faces = new List <Face>();
R.Faces.Add(new Face(0, 4, 8));
R.Faces.Add(new Face(1, 7, 10));
R.Faces.Add(new Face(2, 11, 9));
R.Faces.Add(new Face(7, 1, 3));
R.Faces.Add(new Face(0, 10, 5));
R.Faces.Add(new Face(3, 6, 9));
R.Faces.Add(new Face(3, 9, 11));
R.Faces.Add(new Face(8, 4, 6));
R.Faces.Add(new Face(2, 9, 4));
R.Faces.Add(new Face(3, 11, 7));
R.Faces.Add(new Face(4, 0, 2));
R.Faces.Add(new Face(9, 6, 4));
R.Faces.Add(new Face(2, 5, 11));
R.Faces.Add(new Face(0, 8, 10));
R.Faces.Add(new Face(5, 2, 0));
R.Faces.Add(new Face(10, 7, 5));
R.Faces.Add(new Face(1, 8, 6));
R.Faces.Add(new Face(1, 10, 8));
R.Faces.Add(new Face(6, 3, 1));
R.Faces.Add(new Face(11, 5, 7));
R.FindEdges();
return(R);
}
public static Icosahedron Generate()
{
float t = (float)((1.0f + System.Math.Sqrt(5.0f)) / 2.0f);
float s = (float)(System.Math.Sqrt(1.0f + (t * t)));
var R = new Icosahedron();
R.Verticies = new List<Vector3> {
MakeVert(t, 1, 0) / s,
MakeVert(-t, 1, 0) / s,
MakeVert(t, -1, 0) / s,
MakeVert(-t, -1, 0) / s,
MakeVert(1, 0, t) / s,
MakeVert(1, 0, -t) / s,
MakeVert(-1, 0, t) / s,
MakeVert(-1, 0, -t) / s,
MakeVert(0, t, 1) / s,
MakeVert(0, -t, 1) / s,
MakeVert(0, t, -1) / s,
MakeVert(0, -t, -1) / s
};
R.Faces = new List<Face>();
R.Faces.Add(new Face(0, 4, 8));
R.Faces.Add(new Face(1, 7, 10));
R.Faces.Add(new Face(2, 11, 9));
R.Faces.Add(new Face(7, 1, 3));
R.Faces.Add(new Face(0, 10, 5));
R.Faces.Add(new Face(3, 6, 9));
R.Faces.Add(new Face(3, 9, 11));
R.Faces.Add(new Face(8, 4, 6));
R.Faces.Add(new Face(2, 9, 4));
R.Faces.Add(new Face(3, 11, 7));
R.Faces.Add(new Face(4, 0, 2));
R.Faces.Add(new Face(9, 6, 4));
R.Faces.Add(new Face(2, 5, 11));
R.Faces.Add(new Face(0, 8, 10));
R.Faces.Add(new Face(5, 2, 0));
R.Faces.Add(new Face(10, 7, 5));
R.Faces.Add(new Face(1, 8, 6));
R.Faces.Add(new Face(1, 10, 8));
R.Faces.Add(new Face(6, 3, 1));
R.Faces.Add(new Face(11, 5, 7));
R.FindEdges();
return R;
}
public Icosahedron Hexagons()
{
var R = new Icosahedron();
R.Verticies = new List <Vector3>();
R.Faces = new List <Face>();
return(R);
}
public Icosahedron Subdivide()
{
var R = new Icosahedron();
var dividedEdgeIndex = new short[Edges.Count];
R.Verticies = new List <Vector3>();
foreach (var Vert in Verticies)
{
R.Verticies.Add(Vert);
}
for (int E = 0; E < Edges.Count; ++E)
{
var NewVert = Vector3.Normalize((Verticies[Edges[E].Verticies[0]] + Verticies[Edges[E].Verticies[1]]) / 2);
dividedEdgeIndex[E] = (short)R.Verticies.Count;
R.Verticies.Add(NewVert);
}
R.Faces = new List <Face>();
foreach (var Face in Faces)
{
int[] FEdges = new int[3];
FEdges[0] = FindEdge(Face.Verticies[0], Face.Verticies[1]);
FEdges[1] = FindEdge(Face.Verticies[1], Face.Verticies[2]);
FEdges[2] = FindEdge(Face.Verticies[2], Face.Verticies[0]);
R.Faces.Add(new Face(Face.Verticies[0], dividedEdgeIndex[FEdges[0]], dividedEdgeIndex[FEdges[2]]));
R.Faces.Add(new Face(Face.Verticies[1], dividedEdgeIndex[FEdges[1]], dividedEdgeIndex[FEdges[0]]));
R.Faces.Add(new Face(Face.Verticies[2], dividedEdgeIndex[FEdges[2]], dividedEdgeIndex[FEdges[1]]));
R.Faces.Add(new Face(dividedEdgeIndex[FEdges[0]], dividedEdgeIndex[FEdges[1]], dividedEdgeIndex[FEdges[2]]));
}
R.FindEdges();
return(R);
}
public Icosahedron Subdivide()
{
var R = new Icosahedron();
var dividedEdgeIndex = new short[Edges.Count];
R.Verticies = new List<Vector3>();
foreach (var Vert in Verticies) R.Verticies.Add(Vert);
for (int E = 0; E < Edges.Count; ++E)
{
var NewVert = Vector3.Normalize((Verticies[Edges[E].Verticies[0]] + Verticies[Edges[E].Verticies[1]]) / 2);
dividedEdgeIndex[E] = (short)R.Verticies.Count;
R.Verticies.Add(NewVert);
}
R.Faces = new List<Face>();
foreach (var Face in Faces)
{
int[] FEdges = new int[3];
FEdges[0] = FindEdge(Face.Verticies[0], Face.Verticies[1]);
FEdges[1] = FindEdge(Face.Verticies[1], Face.Verticies[2]);
FEdges[2] = FindEdge(Face.Verticies[2], Face.Verticies[0]);
R.Faces.Add(new Face(Face.Verticies[0], dividedEdgeIndex[FEdges[0]], dividedEdgeIndex[FEdges[2]]));
R.Faces.Add(new Face(Face.Verticies[1], dividedEdgeIndex[FEdges[1]], dividedEdgeIndex[FEdges[0]]));
R.Faces.Add(new Face(Face.Verticies[2], dividedEdgeIndex[FEdges[2]], dividedEdgeIndex[FEdges[1]]));
R.Faces.Add(new Face(dividedEdgeIndex[FEdges[0]], dividedEdgeIndex[FEdges[1]], dividedEdgeIndex[FEdges[2]]));
}
R.FindEdges();
return R;
}
public Icosahedron Hexagons()
{
var R = new Icosahedron();
R.Verticies = new List<Vector3>();
R.Faces = new List<Face>();
return R;
}
