# This object is the dual of the 3-cube. It's 3D counterpart is the # Octahedron. It can be thought of in several ways, but the easiest # way to construct one is as the convex hull of unit vectors in both # directions along each axis. The interesting thing about this object # is that it is much more difficult to intuitively understand than # the 3-cube, which is a topologically more complex object. The 3-cube # has 16 vertices and 32 edges; the 3-dual has 8 vertices and 24 edges. ColorNear 200 30 255 ColorFar 5 0 10 From4: 2.0, 0.0,-2.0, 0.0 To4: 0.0, 0.0, 0.0, 0.0 Up4: 0.0, 1.0, 0.0, 0.0 Over4: 1.0, 0.0, 0.0, 0.0 Vangle4: 45.0 From3: 3.0, 1.0, 2.0 To3: 0.0, 0.0, 0.0 Up3: 0.0, 1.0, 0.0 Vangle3: 45.0 VertexList 8: 1, 0, 0, 0 -1, 0, 0, 0 0, 1, 0, 0 0,-1, 0, 0 0, 0, 1, 0 0, 0,-1, 0 0, 0, 0, 1 0, 0, 0,-1 EdgeList 24: 0, 2 / 8 0, 3 / 8 0, 4 / 2 0, 5 / 2 0, 6 / 4 0, 7 / 4 1, 2 / 8 1, 3 / 8 1, 4 / 2 1, 5 / 2 1, 6 / 4 1, 7 / 4 2, 4 / 5 2, 5 / 5 2, 6 / 6 2, 7 / 6 3, 4 / 5 3, 5 / 5 3, 6 / 6 3, 7 / 6 4, 6 / 7 4, 7 / 7 5, 6 / 7 5, 7 / 7