The principal premise of chaos theory is its unpredictability. However, if it becomes predictable as where and when certain orders emerge out of chaos then it is called a chaotic anomaly. Some pseudo chaotic anomalies like cumulus cloud formations are good examples of evolving phenomena creating order out of chaos. What is unpredictable is the constantly changing variety of shapes and sizes that can appear in a short period of time. However, by observing them long enough, certain patterns of order seem to appear. There can be apparitions of a galloping horse or a giant whale or any imaginable life forms but none of these can truly form angular geometric shapes like a cube or the smooth contour of an automobile with circular wheels. Therefore, in 3D the order of chaotic anomalies can never be ideal geometric shapes like cube, rectangular prism, cylinder, cone, pyramid, and sphere. Because of dynamic symmetry from the balance of forces, cone and sphere can sometimes become the orders out of chaos.

Nonetheless, the best example of chaotic anomaly is the formation of rings for the planet Saturn. These rings are not solid disk shaped objects but are composed of relatively tiny ice and dust particles trapped by the planet’s gravitational field. There are two ring theories. One is the collective debris of deteriorating moons. The other is the primordial nebulae. However, by the effect of another anomaly called the Coriolis anomaly, the chaotic motions of these ice and dust particles gradually within billions of years formed the ring structures. Although the global structures of these rings appear stable, the local patterns among the ice and dust particles are still undergoing chaotic random unpredictable motions.