public static Mesh CreateTetrahedron(double scale = 1)
{
Mesh tetrahedron = new Mesh();
Vector2 basePoint = new Vector2(1, 0);
double baseOffsetZ = -Math.Sin(MathHelper.DegreesToRadians(30));
tetrahedron.Vertices.Add(new Vector3(basePoint, baseOffsetZ));
tetrahedron.Vertices.Add(new Vector3(Vector2.Rotate(basePoint, MathHelper.Tau / 3), baseOffsetZ));
tetrahedron.Vertices.Add(new Vector3(Vector2.Rotate(basePoint, 2 * MathHelper.Tau / 3), baseOffsetZ));
tetrahedron.Vertices.Add(new Vector3(0, 0, 1));
tetrahedron.Faces.Add(0, 2, 1, tetrahedron.Vertices); // add reversed because we want to see the bottom.
tetrahedron.Faces.Add(0, 1, 3, tetrahedron.Vertices);
tetrahedron.Faces.Add(1, 2, 3, tetrahedron.Vertices);
tetrahedron.Faces.Add(2, 0, 3, tetrahedron.Vertices);
if (scale != 1)
{
tetrahedron.Transform(Matrix4X4.CreateScale(scale));
}
return(tetrahedron);
}
public static Mesh CreateTetrahedron(double scale = 1)
{
Mesh tetrahedron = new Mesh();
Vector2 basePoint = new Vector2(1, 0);
double baseOffsetZ = -Math.Sin(MathHelper.DegreesToRadians(30));
Vertex[] verts = new Vertex[4];
verts[0] = tetrahedron.CreateVertex(new Vector3(basePoint, baseOffsetZ));
verts[1] = tetrahedron.CreateVertex(new Vector3(Vector2.Rotate(basePoint, MathHelper.Tau / 3), baseOffsetZ));
verts[2] = tetrahedron.CreateVertex(new Vector3(Vector2.Rotate(basePoint, 2 * MathHelper.Tau / 3), baseOffsetZ));
verts[3] = tetrahedron.CreateVertex(new Vector3(0, 0, 1));
tetrahedron.CreateFace(new Vertex[] { verts[0], verts[2], verts[1] }); // add reversed because we want to see the bottom.
tetrahedron.CreateFace(new Vertex[] { verts[0], verts[1], verts[3] });
tetrahedron.CreateFace(new Vertex[] { verts[1], verts[2], verts[3] });
tetrahedron.CreateFace(new Vertex[] { verts[2], verts[0], verts[3] });
if(scale != 1)
{
tetrahedron.Transform(Matrix4X4.CreateScale(scale));
}
return tetrahedron;
}
public static Mesh CreateTetrahedron(double scale = 1)
{
Mesh tetrahedron = new Mesh();
Vector2 basePoint = new Vector2(1, 0);
double baseOffsetZ = -Math.Sin(MathHelper.DegreesToRadians(30));
Vertex[] verts = new Vertex[4];
verts[0] = tetrahedron.CreateVertex(new Vector3(basePoint, baseOffsetZ));
verts[1] = tetrahedron.CreateVertex(new Vector3(Vector2.Rotate(basePoint, MathHelper.Tau / 3), baseOffsetZ));
verts[2] = tetrahedron.CreateVertex(new Vector3(Vector2.Rotate(basePoint, 2 * MathHelper.Tau / 3), baseOffsetZ));
verts[3] = tetrahedron.CreateVertex(new Vector3(0, 0, 1));
tetrahedron.CreateFace(new Vertex[] { verts[0], verts[2], verts[1] }); // add reversed because we want to see the bottom.
tetrahedron.CreateFace(new Vertex[] { verts[0], verts[1], verts[3] });
tetrahedron.CreateFace(new Vertex[] { verts[1], verts[2], verts[3] });
tetrahedron.CreateFace(new Vertex[] { verts[2], verts[0], verts[3] });
if (scale != 1)
{
tetrahedron.Transform(Matrix4X4.CreateScale(scale));
}
return(tetrahedron);
}
public static Mesh CreateIcosahedron(double scale = 1)
{
Mesh icosahedron = new Mesh();
double[] icosahedronVertices =
{
0, -0.525731, 0.850651,
0.850651, 0, 0.525731,
0.850651, 0, -0.525731,
-0.850651, 0, -0.525731,
-0.850651, 0, 0.525731,
-0.525731, 0.850651, 0,
0.525731, 0.850651, 0,
0.525731, -0.850651, 0,
-0.525731, -0.850651, 0,
0, -0.525731, -0.850651,
0, 0.525731, -0.850651,
0, 0.525731, 0.850651
};
int[] icosahedronIndicies =
{
1, 2, 6,
1, 7, 2,
3, 4, 5,
4, 3, 8,
6, 5, 11,
5, 6, 10,
9, 10, 2,
10, 9, 3,
7, 8, 9,
8, 7, 0,
11, 0, 1,
0, 11, 4,
6, 2, 10,
1, 6, 11,
3, 5, 10,
5, 4, 11,
2, 7, 9,
7, 1, 0,
3, 9, 8,
4, 8, 0,
};
Vertex[] verts = new Vertex[icosahedronVertices.Length / 3];
for (int i = 0; i < icosahedronVertices.Length / 3; i++)
{
verts[i] = icosahedron.CreateVertex(new Vector3(icosahedronVertices[i * 3 + 0], icosahedronVertices[i * 3 + 1], icosahedronVertices[i * 3 + 2]));
}
for (int i = 0; i < icosahedronIndicies.Length / 3; i++)
{
Vertex[] triangleVertices = new Vertex[]
{
verts[icosahedronIndicies[i * 3 + 0]],
verts[icosahedronIndicies[i * 3 + 1]],
verts[icosahedronIndicies[i * 3 + 2]],
};
icosahedron.CreateFace(triangleVertices);
}
icosahedron.Transform(Matrix4X4.CreateScale(scale));
return icosahedron;
}
public static Mesh CreateIcosahedron(double scale = 1)
{
Mesh icosahedron = new Mesh();
double[] icosahedronVertices =
{
0, -0.525731, 0.850651,
0.850651, 0, 0.525731,
0.850651, 0, -0.525731,
-0.850651, 0, -0.525731,
-0.850651, 0, 0.525731,
-0.525731, 0.850651, 0,
0.525731, 0.850651, 0,
0.525731, -0.850651, 0,
-0.525731, -0.850651, 0,
0, -0.525731, -0.850651,
0, 0.525731, -0.850651,
0, 0.525731, 0.850651
};
int[] icosahedronIndicies =
{
1, 2, 6,
1, 7, 2,
3, 4, 5,
4, 3, 8,
6, 5, 11,
5, 6, 10,
9, 10, 2,
10, 9, 3,
7, 8, 9,
8, 7, 0,
11, 0, 1,
0, 11, 4,
6, 2, 10,
1, 6, 11,
3, 5, 10,
5, 4, 11,
2, 7, 9,
7, 1, 0,
3, 9, 8,
4, 8, 0,
};
Vertex[] verts = new Vertex[icosahedronVertices.Length / 3];
for (int i = 0; i < icosahedronVertices.Length / 3; i++)
{
verts[i] = icosahedron.CreateVertex(new Vector3(icosahedronVertices[i * 3 + 0], icosahedronVertices[i * 3 + 1], icosahedronVertices[i * 3 + 2]));
}
for (int i = 0; i < icosahedronIndicies.Length / 3; i++)
{
Vertex[] triangleVertices = new Vertex[]
{
verts[icosahedronIndicies[i * 3 + 0]],
verts[icosahedronIndicies[i * 3 + 1]],
verts[icosahedronIndicies[i * 3 + 2]],
};
icosahedron.CreateFace(triangleVertices);
}
icosahedron.Transform(Matrix4X4.CreateScale(scale));
return(icosahedron);
}