Figure 10
Tree diagram of distorted cuboctahedra. Higher positions in the diagram indicate higher symmetry. Note that there are two differently distorted cuboctahedra with the point group 42m. Model 42m (1) is a combination of a bidisphenoid and a square, whereas 42m (2) can be described as a combination of an anticuboid and a disphenoid. Each is viewed along its 4 axis. Similarly, model mmm (1) is a combination of a cuboid and a rhombus, whereas mmm (2) is a combination of a diagonal orthobicupola and a rectangle. |