public void SetNormalVector()
{
var a = _edges[0].FinishVertex - _edges[0].StartVertex;
var b = _edges[3].StartVertex - _edges[3].FinishVertex;
NormalVector = MatrixOperations.CrossProduct(a, b);
}
public static Vertex CrossProduct(Vertex a, Vertex b)
{
var x = new Vertex(a.Y*b.Z-a.Z*b.Y,
a.Z*b.X-b.Z*a.X,
a.X*b.Y-a.Y*b.X);
x = NormalizeVector(x);
return x;
}
public Edge(Vertex start, Vertex finish)
{
_start = start;
_finish = finish;
}
public static Vertex NormalizeVector(Vertex x)
{
var module = Math.Sqrt(x.X*x.X + x.Y*x.Y + x.Z*x.Z);
return new Vertex(x.X/module, x.Y/module, x.Z/module);
}
public static double DotProduct(Vertex a, Vertex b)
{
return a.X*b.X + a.Y*b.Y + a.Z*b.Z;
}
public double[,] GeraCubo()
{
var a = new Vertex(0, 0, 1);
var b = new Vertex(1, 0, 1);
var c = new Vertex(1, 1, 1);
var d = new Vertex(0, 1, 1);
var ee = new Vertex(0, 0, 0);
var f = new Vertex(1, 0, 0);
var g = new Vertex(1, 1, 0);
var h = new Vertex(0, 1, 0);
var A = new Edge(a, b);
var B = new Edge(b, c);
var C = new Edge(c, d);
var D = new Edge(d, a);
var E = new Edge(f, ee);
var F = new Edge(ee, h);
var G = new Edge(h, g);
var H = new Edge(g, f);
var I = new Edge(b, f);
var J = new Edge(g, c);
var K = new Edge(ee, a);
var L = new Edge(d, h);
var P1 = new Model.Polygon();
P1.AddEdge(A);
P1.AddEdge(B);
P1.AddEdge(C);
P1.AddEdge(D);
P1.FaceNumber = 1;
var P2 = new Model.Polygon();
P2.AddEdge(C);
P2.AddEdge(L);
P2.AddEdge(G);
P2.AddEdge(J);
P2.FaceNumber = 2;
var P3 = new Model.Polygon();
P3.AddEdge(B);
P3.AddEdge(J);
P3.AddEdge(H);
P3.AddEdge(I);
P3.FaceNumber = 3;
var P4 = new Model.Polygon();
P4.AddEdge(D);
P4.AddEdge(K);
P4.AddEdge(F);
P4.AddEdge(L);
P4.FaceNumber = 4;
var P5 = new Model.Polygon();
P5.AddEdge(E);
P5.AddEdge(I);
P5.AddEdge(A);
P5.AddEdge(K);
P5.FaceNumber = 5;
var P6 = new Model.Polygon();
P6.AddEdge(H);
P6.AddEdge(E);
P6.AddEdge(F);
P6.AddEdge(G);
P6.FaceNumber = 6;
var solid = new Solid();
solid.addPolygon(P1);
solid.addPolygon(P2);
solid.addPolygon(P3);
solid.addPolygon(P4);
solid.addPolygon(P5);
solid.addPolygon(P6);
var x = solid.AsMatrix();
return x;
}