//масштабирование
public void scale(double ind_scale)
{
for (int i = 0; i < vertices.Count; i++)
{
PointPol pp = vertices[i].scale(ind_scale);
vertices[i] = pp;
}
}
//поворот
//axis == 0 => поворот вокруг OX
//axis == 1 => поворот вокруг OY
//axis == 2 => поворот вокруг OZ
public void rotation(int axis, double cos, double sin)
{
center = center.roration(axis, cos, sin);
for (int i = 0; i < vertices.Count; i++)
{
PointPol pp = vertices[i].roration(axis, cos, sin);
vertices[i] = pp;
}
}
public PointPol rotate(Edge direction, double angle, double a, double b, double c)
{
double phi = Math.PI / 360 * angle;
PointPol p = shift(-a, -b, -c);
double x1 = direction.P1.X;
double y1 = direction.P1.Y;
double z1 = direction.P1.Z;
double x2 = direction.P2.X;
double y2 = direction.P2.Y;
double z2 = direction.P2.Z;
double vecx = x2 - x1;
double vecy = y2 - y1;
double vecz = z2 - z1;
double len = Math.Sqrt(vecx * vecx + vecy * vecy + vecz * vecz);
double l = vecx / len;
double m = vecy / len;
double n = vecz / len;
double[,] transfer = new double[4, 4] {
{ l *l + Math.Cos(phi) * (1 - l * l), l *(1 - Math.Cos(phi)) * m + n * Math.Sin(phi), l *(1 - Math.Cos(phi)) * n - m * Math.Sin(phi), 0 },
{ l *(1 - Math.Cos(phi)) * m - n * Math.Sin(phi), m *m + Math.Cos(phi) * (1 - m * m), m *(1 - Math.Cos(phi)) * n + l * Math.Sin(phi), 0 },
{ l *(1 - Math.Cos(phi)) * n + m * Math.Sin(phi), m *(1 - Math.Cos(phi)) * n - l * Math.Sin(phi), n *n + Math.Cos(phi) * (1 - n * n), 0 },
{ 0, 0, 0, 1 }
};
var t1 = _form.matrix_multiplication(p.getP(), transfer);
t1 = _form.matrix_multiplication(t1, transfer);
PointPol p2 = translatePol(t1);
PointPol p3 = p2.shift(a, b, c);
return(p3);
}
public Octahedron()
{
center = new PointPol(_form.pictureBox1.Image.Height / 2, _form.pictureBox1.Image.Height / 2, _form.pictureBox1.Image.Height / 2);
vertices = new Dictionary <int, PointPol>();
PointPol a = new PointPol(0, 0, 0, len / 2, 1),
b = new PointPol(1, len / 2, 0, 0, 1),
c = new PointPol(2, 0, len / 2, 0, 1),
d = new PointPol(3, -len / 2, 0, 0, 1),
e = new PointPol(4, 0, -len / 2, 0, 1),
f = new PointPol(5, 0, 0, -len / 2, 1);
//добовляем вершины
{
vertices[a.index] = a;
vertices[b.index] = b;
vertices[c.index] = c;
vertices[d.index] = d;
vertices[e.index] = e;
vertices[f.index] = f;
}
//заполняем ребра
{
edges3D.Add(new Edge(a.index, b.index));
edges3D.Add(new Edge(a.index, c.index));
edges3D.Add(new Edge(a.index, d.index));
edges3D.Add(new Edge(a.index, e.index));
edges3D.Add(new Edge(f.index, b.index));
edges3D.Add(new Edge(f.index, c.index));
edges3D.Add(new Edge(f.index, d.index));
edges3D.Add(new Edge(f.index, e.index));
edges3D.Add(new Edge(b.index, c.index));
edges3D.Add(new Edge(b.index, e.index));
edges3D.Add(new Edge(d.index, c.index));
edges3D.Add(new Edge(d.index, e.index));
}
for (int i = 0; i < 6; i++)
{
neighbors[i] = new List <int>();
}
//заполяем списки смежности
{
neighbors[a.index].Add(b.index);
neighbors[a.index].Add(c.index);
neighbors[a.index].Add(d.index);
neighbors[a.index].Add(e.index);
neighbors[b.index].Add(a.index);
neighbors[b.index].Add(f.index);
neighbors[b.index].Add(c.index);
neighbors[b.index].Add(e.index);
neighbors[c.index].Add(a.index);
neighbors[c.index].Add(f.index);
neighbors[c.index].Add(b.index);
neighbors[c.index].Add(d.index);
neighbors[d.index].Add(a.index);
neighbors[d.index].Add(f.index);
neighbors[d.index].Add(c.index);
neighbors[d.index].Add(e.index);
neighbors[e.index].Add(a.index);
neighbors[e.index].Add(f.index);
neighbors[e.index].Add(b.index);
neighbors[e.index].Add(d.index);
neighbors[f.index].Add(b.index);
neighbors[f.index].Add(c.index);
neighbors[f.index].Add(d.index);
neighbors[f.index].Add(e.index);
}
//заполняем полигоны
{
List <Edge> e1 = new List <Edge>();
e1.Add(new Edge(a.index, b.index));
e1.Add(new Edge(a.index, c.index));
e1.Add(new Edge(b.index, c.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1.Add(new Edge(a.index, c.index));
e1.Add(new Edge(a.index, d.index));
e1.Add(new Edge(c.index, d.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1.Add(new Edge(a.index, d.index));
e1.Add(new Edge(a.index, e.index));
e1.Add(new Edge(d.index, e.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1.Add(new Edge(a.index, b.index));
e1.Add(new Edge(a.index, e.index));
e1.Add(new Edge(b.index, e.index));
polygons.Add(new Polygon(e1));
e1.Clear();
}
}
public Tetrahedron()
{
center = new PointPol(_form.pictureBox1.Image.Height / 2, _form.pictureBox1.Image.Height / 2, _form.pictureBox1.Image.Height / 2);
vertices = new Dictionary <int, PointPol>();
PointPol a = new PointPol(0, len / 2, len / 2, len / 2, 1),
b = new PointPol(1, -len / 2, -len / 2, len / 2, 1),
c = new PointPol(2, -len / 2, len / 2, -len / 2, 1),
d = new PointPol(3, len / 2, -len / 2, -len / 2, 1);
//добавляем вершины
{
vertices[0] = a;
vertices[1] = b;
vertices[2] = c;
vertices[3] = d;
}
for (int i = 0; i < 4; i++)
{
neighbors[i] = new List <int>();
}
//заполняем списки смежности
for (int i = 0; i < 4; ++i)
{
neighbors[i].Add((i + 1) % 4);
neighbors[i].Add((i + 2) % 4);
neighbors[i].Add((i + 3) % 4);
}
//заполняем ребра
{
edges3D.Add(new Edge(a.index, b.index));
edges3D.Add(new Edge(a.index, c.index));
edges3D.Add(new Edge(a.index, d.index));
edges3D.Add(new Edge(b.index, c.index));
edges3D.Add(new Edge(b.index, d.index));
edges3D.Add(new Edge(d.index, c.index));
}
//заполняем полигоны
{
List <Edge> e1 = new List <Edge>();
e1.Add(new Edge(a.index, b.index));
e1.Add(new Edge(a.index, c.index));
e1.Add(new Edge(b.index, c.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1.Add(new Edge(a.index, c.index));
e1.Add(new Edge(a.index, d.index));
e1.Add(new Edge(c.index, d.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1.Add(new Edge(a.index, b.index));
e1.Add(new Edge(a.index, d.index));
e1.Add(new Edge(b.index, d.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1.Add(new Edge(b.index, c.index));
e1.Add(new Edge(b.index, d.index));
e1.Add(new Edge(c.index, d.index));
polygons.Add(new Polygon(e1));
e1.Clear();
}
}
public cube()
{
center = new PointPol(_form.pictureBox1.Image.Height / 2, _form.pictureBox1.Image.Height / 2, _form.pictureBox1.Image.Height / 2);
vertices = new Dictionary <int, PointPol>();
//у точки без индекса z меньше
PointPol a = new PointPol(0, len / 2, len / 2, -len / 2, 1), a1 = new PointPol(1, len / 2, len / 2, len / 2, 1),
b = new PointPol(2, -len / 2, len / 2, -len / 2, 1), b1 = new PointPol(3, -len / 2, len / 2, len / 2, 1),
c = new PointPol(4, -len / 2, -len / 2, -len / 2, 1), c1 = new PointPol(5, -len / 2, -len / 2, len / 2, 1),
d = new PointPol(6, len / 2, -len / 2, -len / 2, 1), d1 = new PointPol(7, len / 2, -len / 2, len / 2, 1);
for (int i = 0; i < 8; i++)
{
neighbors[i] = new List <int>();
}
//добавляем вершины
{
vertices[0] = a;
vertices[1] = a1;
vertices[2] = b;
vertices[3] = b1;
vertices[4] = c;
vertices[5] = c1;
vertices[6] = d;
vertices[7] = d1;
}
//добавляем ребра
{
edges3D.Add(new Edge(a.index, a1.index));
edges3D.Add(new Edge(a.index, b.index));
edges3D.Add(new Edge(a.index, d.index));
edges3D.Add(new Edge(c.index, c1.index));
edges3D.Add(new Edge(c.index, b.index));
edges3D.Add(new Edge(c.index, d.index));
edges3D.Add(new Edge(b1.index, b.index));
edges3D.Add(new Edge(b1.index, c1.index));
edges3D.Add(new Edge(b1.index, a1.index));
edges3D.Add(new Edge(d1.index, d.index));
edges3D.Add(new Edge(d1.index, c1.index));
edges3D.Add(new Edge(d1.index, a1.index));
}
//заполняем списки смежности
{
//A
neighbors[1].Add(0);
neighbors[2].Add(0);
neighbors[6].Add(0);
//A1
neighbors[0].Add(1);
neighbors[3].Add(1);
neighbors[7].Add(1);
// B
neighbors[0].Add(2);
neighbors[4].Add(2);
neighbors[3].Add(2);
//B1
neighbors[1].Add(3);
neighbors[5].Add(3);
neighbors[2].Add(3);
// C
neighbors[5].Add(4);
neighbors[6].Add(4);
neighbors[2].Add(4);
//C1
neighbors[4].Add(5);
neighbors[7].Add(5);
neighbors[3].Add(5);
//D
neighbors[4].Add(6);
neighbors[0].Add(6);
neighbors[7].Add(6);
//D1
neighbors[5].Add(7);
neighbors[1].Add(7);
neighbors[6].Add(7);
}
//заполняем полигоны
{
List <Edge> e1 = new List <Edge>();
e1.Add(new Edge(a.index, b.index));
e1.Add(new Edge(a.index, d.index));
e1.Add(new Edge(c.index, b.index));
e1.Add(new Edge(c.index, d.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(a.index, b.index));
e1.Add(new Edge(a.index, a1.index));
e1.Add(new Edge(a1.index, b1.index));
e1.Add(new Edge(b.index, b1.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(a.index, d.index));
e1.Add(new Edge(a.index, a1.index));
e1.Add(new Edge(a1.index, d1.index));
e1.Add(new Edge(d.index, d1.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(c.index, d.index));
e1.Add(new Edge(c.index, c1.index));
e1.Add(new Edge(c1.index, d1.index));
e1.Add(new Edge(d.index, d1.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(c.index, b.index));
e1.Add(new Edge(c.index, c1.index));
e1.Add(new Edge(c1.index, b1.index));
e1.Add(new Edge(b.index, b1.index));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(a1.index, d1.index));
e1.Add(new Edge(c1.index, d1.index));
e1.Add(new Edge(b1.index, c1.index));
e1.Add(new Edge(a1.index, b1.index));
polygons.Add(new Polygon(e1));
e1.Clear();
}
}
//отражение
public void reflection(int reflec)
{
center = center.reflection(reflec);
}
//смещение
public void shift(double x, double y, double z)
{
center = center.shift(x, y, z);
}
//Конструктор. Создается гексаэдр,
//обход вершин: A A1 B1 B C C1 D1 D A, где без индексов - основание куба
public Polyhedron()
{
vertices = new List <PointPol>();
var w = _form.pictureBox1.Width / 2;
PointPol a = new PointPol(w, len, 0), a1 = new PointPol(w, len, len),
b1 = new PointPol(w, 0, len), b = new PointPol(w, 0, 0),
c = new PointPol(w + len, 0, 0), c1 = new PointPol(w + len, 0, len),
d = new PointPol(w + len, len, 0), d1 = new PointPol(w + len, len, len);
neighbors[a] = new List <PointPol>();
neighbors[b] = new List <PointPol>();
neighbors[c] = new List <PointPol>();
neighbors[d] = new List <PointPol>();
neighbors[a1] = new List <PointPol>();
neighbors[b1] = new List <PointPol>();
neighbors[c1] = new List <PointPol>();
neighbors[d1] = new List <PointPol>();
vertices.Add(a); //A
neighbors[a1].Add(a);
neighbors[b].Add(a);
neighbors[d].Add(a);
vertices.Add(a1); //A1
neighbors[a].Add(a1);
neighbors[b1].Add(a1);
neighbors[d1].Add(a1);
vertices.Add(b1); //B1
neighbors[a1].Add(b1);
neighbors[c1].Add(b1);
neighbors[b].Add(b1);
vertices.Add(b); // B
neighbors[a].Add(b);
neighbors[c].Add(b);
neighbors[b1].Add(b);
vertices.Add(c); // C
neighbors[c1].Add(c);
neighbors[d].Add(c);
neighbors[b].Add(c);
vertices.Add(c1);//C1
neighbors[c].Add(c1);
neighbors[d1].Add(c1);
neighbors[b1].Add(c1);
vertices.Add(d1);//D1
neighbors[c1].Add(d1);
neighbors[a1].Add(d1);
neighbors[d].Add(d1);
vertices.Add(d);//D
neighbors[c].Add(d);
neighbors[a].Add(d);
neighbors[d1].Add(d);
List <Edge> e1 = new List <Edge>();
e1.Add(new Edge(a, b));
e1.Add(new Edge(a, d));
e1.Add(new Edge(c, b));
e1.Add(new Edge(c, d));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(a, b));
e1.Add(new Edge(a, a1));
e1.Add(new Edge(a1, b1));
e1.Add(new Edge(b, b1));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(a, d));
e1.Add(new Edge(a, a1));
e1.Add(new Edge(a1, d1));
e1.Add(new Edge(d, d1));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(c, d));
e1.Add(new Edge(c, c1));
e1.Add(new Edge(c1, d1));
e1.Add(new Edge(d, d1));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(c, b));
e1.Add(new Edge(c, c1));
e1.Add(new Edge(c1, b1));
e1.Add(new Edge(b, b1));
polygons.Add(new Polygon(e1));
e1.Clear();
e1 = new List <Edge>();
e1.Add(new Edge(a1, d1));
e1.Add(new Edge(c1, d1));
e1.Add(new Edge(b1, c1));
e1.Add(new Edge(a1, b1));
polygons.Add(new Polygon(e1));
e1.Clear();
}
public Edge(PointPol p1, PointPol p2)
{
P1 = p1; P2 = p2;
}