public Hexahedron(double size)
{
points = new List <XYZPoint>();
points.Add(new XYZPoint(-size / 2, -size / 2, -size / 2));
points.Add(new XYZPoint(-size / 2, -size / 2, size / 2));
points.Add(new XYZPoint(-size / 2, size / 2, -size / 2));
points.Add(new XYZPoint(size / 2, -size / 2, -size / 2));
points.Add(new XYZPoint(-size / 2, size / 2, size / 2));
points.Add(new XYZPoint(size / 2, -size / 2, size / 2));
points.Add(new XYZPoint(size / 2, size / 2, -size / 2));
points.Add(new XYZPoint(size / 2, size / 2, size / 2));
Verges.Add(new Verge(new XYZPoint[] { points[0], points[1], points[5], points[3] }));
Verges.Add(new Verge(new XYZPoint[] { points[2], points[6], points[3], points[0] }));
Verges.Add(new Verge(new XYZPoint[] { points[4], points[1], points[0], points[2] }));
Verges.Add(new Verge(new XYZPoint[] { points[7], points[5], points[3], points[6] }));
Verges.Add(new Verge(new XYZPoint[] { points[2], points[4], points[7], points[6] }));
Verges.Add(new Verge(new XYZPoint[] { points[4], points[1], points[5], points[7] }));
}
public Tetrahedron(double size)
{
double h = Math.Sqrt(2.0 / 3.0) * size;
points = new List <XYZPoint>();
points.Add(new XYZPoint(-size / 2, 0, h / 3));
points.Add(new XYZPoint(0, 0, -h * 2 / 3));
points.Add(new XYZPoint(size / 2, 0, h / 3));
points.Add(new XYZPoint(0, h, 0));
// Основание тетраэдра
Verges.Add(new Verge(new XYZPoint[] { points[0], points[1], points[2] }));
// Левая грань
Verges.Add(new Verge(new XYZPoint[] { points[1], points[3], points[0] }));
// Правая грань
Verges.Add(new Verge(new XYZPoint[] { points[2], points[3], points[1] }));
// Передняя грань
Verges.Add(new Verge(new XYZPoint[] { points[0], points[3], points[2] }));
}
public Octahedron(double size)
{
points = new List <XYZPoint>();
points.Add(new XYZPoint(-size / 2, 0, 0));
points.Add(new XYZPoint(0, -size / 2, 0));
points.Add(new XYZPoint(0, 0, -size / 2));
points.Add(new XYZPoint(size / 2, 0, 0));
points.Add(new XYZPoint(0, size / 2, 0));
points.Add(new XYZPoint(0, 0, size / 2));
Verges.Add(new Verge(new XYZPoint[] { points[0], points[2], points[4] }));
Verges.Add(new Verge(new XYZPoint[] { points[2], points[4], points[3] }));
Verges.Add(new Verge(new XYZPoint[] { points[4], points[5], points[3] }));
Verges.Add(new Verge(new XYZPoint[] { points[0], points[5], points[4] }));
Verges.Add(new Verge(new XYZPoint[] { points[0], points[5], points[1] }));
Verges.Add(new Verge(new XYZPoint[] { points[5], points[3], points[1] }));
Verges.Add(new Verge(new XYZPoint[] { points[0], points[2], points[1] }));
Verges.Add(new Verge(new XYZPoint[] { points[2], points[1], points[3] }));
}
public Icosahedron(double size)
{
// радиус описанной сферы
double R = (size * Math.Sqrt(2.0 * (5.0 + Math.Sqrt(5.0)))) / 4;
// радиус вписанной сферы
double r = (size * Math.Sqrt(3.0) * (3.0 + Math.Sqrt(5.0))) / 12;
points = new List <XYZPoint>();
for (int i = 0; i < 5; ++i)
{
points.Add(new XYZPoint(
r * Math.Cos(2 * Math.PI / 5 * i),
R / 2,
r * Math.Sin(2 * Math.PI / 5 * i)));
points.Add(new XYZPoint(
r * Math.Cos(2 * Math.PI / 5 * i + 2 * Math.PI / 10),
-R / 2,
r * Math.Sin(2 * Math.PI / 5 * i + 2 * Math.PI / 10)));
}
points.Add(new XYZPoint(0, R, 0));
points.Add(new XYZPoint(0, -R, 0));
// середина
for (int i = 0; i < 10; ++i)
{
Verges.Add(new Verge(new XYZPoint[] { points[i], points[(i + 1) % 10], points[(i + 2) % 10] }));
}
for (int i = 0; i < 5; ++i)
{
// верхняя часть
Verges.Add(new Verge(new XYZPoint[] { points[2 * i], points[10], points[(2 * (i + 1)) % 10] }));
// нижняя часть
Verges.Add(new Verge(new XYZPoint[] { points[2 * i + 1], points[11], points[(2 * (i + 1) + 1) % 10] }));
}
}