// Vertices in clockwise order genrate face towards you
public void GenerateMesh()
{
if (meshFilter == null || resolution < 3)
{
return;
}
Vector3[] vertices = new Vector3[resolution * 4];
Vector2[] uvs = new Vector2[resolution * 4];
float realWidth = width / radius;
float realHeight = height / radius;
for (int i = 0; i < resolution; i++)
{
float angle = i * Mathf.PI * 2 / resolution;
vertices[i * 4 + 0] = Mobius.Circle(angle, -realWidth, -realHeight) * radius;
vertices[i * 4 + 1] = Mobius.Circle(angle, realWidth, -realHeight) * radius;
vertices[i * 4 + 2] = Mobius.Circle(angle, -realWidth, realHeight) * radius;
vertices[i * 4 + 3] = Mobius.Circle(angle, realWidth, realHeight) * radius;
uvs[i * 4 + 0] = new Vector2(0, i * uvScale);
uvs[i * 4 + 1] = new Vector2(1, i * uvScale);
uvs[i * 4 + 2] = new Vector2(1, i * uvScale);
uvs[i * 4 + 3] = new Vector2(0, i * uvScale);
}
int[] triangles = new int[resolution * 12];
for (int i = 0; i < resolution - 1; i++)
{
// frontside
triangles[i * 12 + 0] = i * 4 + 4;
triangles[i * 12 + 1] = i * 4 + 0;
triangles[i * 12 + 2] = i * 4 + 1;
triangles[i * 12 + 3] = i * 4 + 1;
triangles[i * 12 + 4] = i * 4 + 5;
triangles[i * 12 + 5] = i * 4 + 4;
// backside
triangles[i * 12 + 6] = i * 4 + 2;
triangles[i * 12 + 7] = i * 4 + 6;
triangles[i * 12 + 8] = i * 4 + 7;
triangles[i * 12 + 9] = i * 4 + 7;
triangles[i * 12 + 10] = i * 4 + 3;
triangles[i * 12 + 11] = i * 4 + 2;
}
// last frontside
triangles[resolution * 12 - 12] = 2;
triangles[resolution * 12 - 11] = resolution * 4 - 4;
triangles[resolution * 12 - 10] = resolution * 4 - 3;
triangles[resolution * 12 - 9] = resolution * 4 - 1;
triangles[resolution * 12 - 8] = 1;
triangles[resolution * 12 - 7] = 0;
// last backside
triangles[resolution * 12 - 6] = resolution * 4 - 4;
triangles[resolution * 12 - 5] = 2;
triangles[resolution * 12 - 4] = 3;
triangles[resolution * 12 - 3] = 1;
triangles[resolution * 12 - 2] = resolution * 4 - 1;
triangles[resolution * 12 - 1] = resolution * 4 - 2;
Mesh mesh = new Mesh
{
vertices = vertices,
uv = uvs,
triangles = triangles
};
mesh.RecalculateNormals();
meshFilter.mesh = mesh;
}
public Vector3 GetMobiusPosition(float u, float v, float w = 0)
{
return(transform.position + transform.rotation * Mobius.Circle(u, v / radius, w / radius) * radius);
}
