Transforming a primitive tetrahedron into a primitive icosahedron?
- by Djentleman
I've created a tetrahedron by creating a BoundingBox and building the faces of the tetrahedron within the bounding box as follows (see image as well):
VertexPositionNormalTexture[] vertices = new VertexPositionNormalTexture[12];
BoundingBox box = new BoundingBox(new Vector3(-1f, 1f, 1f), new Vector3(1f, -1f, -1f));
vertices[0].Position = box.GetCorners()[0];
vertices[1].Position = box.GetCorners()[2];
vertices[2].Position = box.GetCorners()[7];
vertices[3].Position = box.GetCorners()[0];
vertices[4].Position = box.GetCorners()[5];
vertices[5].Position = box.GetCorners()[2];
vertices[6].Position = box.GetCorners()[5];
vertices[7].Position = box.GetCorners()[7];
vertices[8].Position = box.GetCorners()[2];
vertices[9].Position = box.GetCorners()[5];
vertices[10].Position = box.GetCorners()[0];
vertices[11].Position = box.GetCorners()[7];
What would I then have to do to transform this tetrahedron into an icosahedron? Similar to this image:
I understand the concept but applying it is another thing entirely for me.
