public static Polyhedron getHexahedron()
{
Point3D bottomLeftFrontPoint = new Point3D(100, 150, 0);
int edgeLength = 100;
List <Point3D> points = new List <Point3D>
{
bottomLeftFrontPoint,
bottomLeftFrontPoint + new Point3D(0, edgeLength, 0),
bottomLeftFrontPoint + new Point3D(edgeLength, 0, 0),
bottomLeftFrontPoint + new Point3D(edgeLength, edgeLength, 0),
bottomLeftFrontPoint + new Point3D(0, 0, edgeLength),
bottomLeftFrontPoint + new Point3D(0, edgeLength, edgeLength),
bottomLeftFrontPoint + new Point3D(edgeLength, 0, edgeLength),
bottomLeftFrontPoint + new Point3D(edgeLength, edgeLength, edgeLength),
};
Polyhedron hexahedrone = new Polyhedron(points);
hexahedrone.AddEdges(points[0], new List <Point3D> {
points[1], points[2], points[4]
});
hexahedrone.AddEdges(points[4], new List <Point3D> {
points[5], points[6]
});
hexahedrone.AddEdges(points[7], new List <Point3D> {
points[3], points[5], points[6]
});
hexahedrone.AddEdges(points[2], new List <Point3D> {
points[3], points[6]
});
hexahedrone.AddEdges(points[1], new List <Point3D> {
points[3], points[5]
});
return(hexahedrone);
}
public static Polyhedron getOctahedron()
{
double x = 200, y = 150, z = 0;
int r = 150;
List <Point3D> points = new List <Point3D>
{
new Point3D(x, y, z),
new Point3D(x, y - r / Math.Sqrt(2), z - r / Math.Sqrt(2)),
new Point3D(x - r / Math.Sqrt(2), y, z - r / Math.Sqrt(2)),
new Point3D(x, y + r / Math.Sqrt(2), z - r / Math.Sqrt(2)),
new Point3D(x + r / Math.Sqrt(2), y, z - r / Math.Sqrt(2)),
new Point3D(x, y, z - r * Math.Sqrt(2))
};
Polyhedron octahedrone = new Polyhedron(points);
octahedrone.AddEdges(points[0], new List <Point3D> {
points[1], points[2], points[3], points[4]
});
octahedrone.AddEdges(points[5], new List <Point3D> {
points[1], points[2], points[3], points[4]
});
octahedrone.AddEdges(points[1], new List <Point3D> {
points[2], points[4]
});
octahedrone.AddEdges(points[3], new List <Point3D> {
points[2], points[4]
});
return(octahedrone);
}
public static Polyhedron getRotationFigure(List <Point3D> startPoints, Line3D axis, int count)
{
float angle = 360f / count;
int rings = startPoints.Count;
List <Point3D> points = new List <Point3D>();
for (int i = 0; i < count; ++i)
{
for (int j = 0; j < rings; ++j)
{
points.Add(AffineTransform.getRotatedAroundLine(startPoints[j], axis, i * angle));
}
}
Polyhedron rf = new Polyhedron(points);
rf.AddEdges(points[0], new List <Point3D> {
points[(count - 1) * rings]
});
for (int j = 1; j < rings; ++j)
{
rf.AddEdges(points[j], new List <Point3D> {
points[j - 1], points[(count - 1) * rings + j]
});
}
for (int i = 1; i < count; ++i)
{
rf.AddEdges(points[i * rings], new List <Point3D> {
points[(i - 1) * rings]
});
for (int j = 1; j < rings; ++j)
{
rf.AddEdges(points[i * rings + j], new List <Point3D> {
points[i * rings + j - 1], points[(i - 1) * rings + j]
});
}
}
return(rf);
}
public static Polyhedron getTetrahedron()
{
double x = 200, y = 150, z = 0;
int r = 150;
double bz = z - r * Math.Sqrt(6) / 3.0;
List <Point3D> points = new List <Point3D>
{
new Point3D(x, y, z),
new Point3D(x - r * Math.Sqrt(3) / 6.0, y - r / 2.0, bz),
new Point3D(x - r * Math.Sqrt(3) / 6.0, y + r / 2.0, bz),
new Point3D(x + r * Math.Sqrt(3) / 3.0, y, bz),
};
Polyhedron tetrahedron = new Polyhedron(points);
tetrahedron.AddEdges(points[0], new List <Point3D> {
points[1], points[2], points[3]
});
tetrahedron.AddEdges(points[1], new List <Point3D> {
points[2], points[3]
});
tetrahedron.AddEdge(points[2], points[3]);
return(tetrahedron);
}
public static Polyhedron getDodehedron()
{
double r = 100 * (3 + Math.Sqrt(5)) / 4; // радиус полувписанной окружности
double x = 100 * (1 + Math.Sqrt(5)) / 4; // половина стороны пятиугольника в сечении
List <Point3D> points = new List <Point3D>
{
new Point3D(0, -50, -r),
new Point3D(0, 50, -r),
new Point3D(x, x, -x),
new Point3D(r, 0, -50),
new Point3D(x, -x, -x),
new Point3D(50, -r, 0),
new Point3D(-50, -r, 0),
new Point3D(-x, -x, -x),
new Point3D(-r, 0, -50),
new Point3D(-x, x, -x),
new Point3D(-50, r, 0),
new Point3D(50, r, 0),
new Point3D(-x, -x, x),
new Point3D(0, -50, r),
new Point3D(x, -x, x),
new Point3D(0, 50, r),
new Point3D(-x, x, x),
new Point3D(x, x, x),
new Point3D(-r, 0, 50),
new Point3D(r, 0, 50)
};
Polyhedron dodehedron = new Polyhedron(points);
dodehedron.AddEdges(points[0], new List <Point3D> {
points[1], points[4], points[7]
});
dodehedron.AddEdges(points[1], new List <Point3D> {
points[2], points[9]
});
dodehedron.AddEdges(points[2], new List <Point3D> {
points[3], points[11]
});
dodehedron.AddEdges(points[3], new List <Point3D> {
points[4], points[19]
});
dodehedron.AddEdges(points[4], new List <Point3D> {
points[5]
});
dodehedron.AddEdges(points[5], new List <Point3D> {
points[6], points[14]
});
dodehedron.AddEdges(points[6], new List <Point3D> {
points[7], points[12]
});
dodehedron.AddEdges(points[7], new List <Point3D> {
points[8]
});
dodehedron.AddEdges(points[8], new List <Point3D> {
points[9], points[18]
});
dodehedron.AddEdges(points[9], new List <Point3D> {
points[10]
});
dodehedron.AddEdges(points[10], new List <Point3D> {
points[11], points[16]
});
dodehedron.AddEdges(points[11], new List <Point3D> {
points[17]
});
dodehedron.AddEdges(points[12], new List <Point3D> {
points[13], points[18]
});
dodehedron.AddEdges(points[13], new List <Point3D> {
points[14], points[15]
});
dodehedron.AddEdges(points[14], new List <Point3D> {
points[19]
});
dodehedron.AddEdges(points[15], new List <Point3D> {
points[16], points[17]
});
dodehedron.AddEdges(points[16], new List <Point3D> {
points[18]
});
dodehedron.AddEdges(points[17], new List <Point3D> {
points[19]
});
return(dodehedron);
}
public static Polyhedron getIcohedron()
{
double r = 100 * (1 + Math.Sqrt(5)) / 4; // радиус полувписанной окружности
List <Point3D> points = new List <Point3D>
{
new Point3D(0, -50, -r),
new Point3D(0, 50, -r),
new Point3D(50, r, 0),
new Point3D(r, 0, -50),
new Point3D(50, -r, 0),
new Point3D(-50, -r, 0),
new Point3D(-r, 0, -50),
new Point3D(-50, r, 0),
new Point3D(r, 0, 50),
new Point3D(-r, 0, 50),
new Point3D(0, -50, r),
new Point3D(0, 50, r)
};
Polyhedron icohedron = new Polyhedron(points);
icohedron.AddEdges(points[0], new List <Point3D> {
points[1], points[3], points[4], points[5], points[6]
});
icohedron.AddEdges(points[1], new List <Point3D> {
points[2], points[3], points[6], points[7]
});
icohedron.AddEdges(points[2], new List <Point3D> {
points[3], points[7], points[8], points[11]
});
icohedron.AddEdges(points[3], new List <Point3D> {
points[4], points[8]
});
icohedron.AddEdges(points[4], new List <Point3D> {
points[5], points[8], points[10]
});
icohedron.AddEdges(points[5], new List <Point3D> {
points[6], points[9], points[10]
});
icohedron.AddEdges(points[6], new List <Point3D> {
points[7], points[9]
});
icohedron.AddEdges(points[7], new List <Point3D> {
points[9], points[11]
});
icohedron.AddEdges(points[8], new List <Point3D> {
points[10], points[11]
});
icohedron.AddEdges(points[9], new List <Point3D> {
points[10], points[11]
});
icohedron.AddEdges(points[10], new List <Point3D> {
points[11]
});
return(icohedron);
}
public Graphic(int x0, int x1, int y0, int y1, int count, int func)
{
X0 = x0;
X1 = x1;
Y0 = y0;
Y1 = y1;
CountOfSplits = count;
float dx = (Math.Abs(x0) + Math.Abs(x1)) / (float)count;
float dy = (Math.Abs(y0) + Math.Abs(y1)) / (float)count;
List <Point3D> points = new List <Point3D>();
switch (func)
{
case 0:
F = (x, y) => x + y;
break;
case 1:
F = (x, y) => (float)(x * x + y * y);
break;
case 2:
F = (x, y) => (float)Math.Sin(x) * 3f + (float)Math.Cos(y) * 3f;
break;
case 3:
F = (x, y) => (float)Math.Sin(x) * 5f;
break;
default:
F = (x, y) => x + y;
break;
}
for (float x = x0; x < x1; x += dx)
{
for (float y = y0; y < y1; y += dy)
{
var z = F(x, y);
points.Add(new Point3D(x, y, (float)z));
}
}
graphic = new Polyhedron(points);
for (int j = 1; j < count; ++j)
{
graphic.AddEdges(points[j], new List <Point3D> {
points[j - 1]
});
}
for (int i = 1; i < count; ++i)
{
graphic.AddEdges(points[i * count], new List <Point3D> {
points[(i - 1) * count]
});
for (int j = 1; j < count; ++j)
{
graphic.AddEdges(points[i * count + j], new List <Point3D> {
points[i * count + j - 1], points[(i - 1) * count + j]
});
}
}
}