With our final experiments on fractal graphics, and questions of the fundamental principles of chaos theory that are today unresolved, we end the computer graphics experiments in this book. That does not mean that the experiment is over for you. On the contrary, perhaps it has only just really begun.

For the Grand Finale we invite you on a trip into the Land of Infinite Structures. That is what we have been discussing all along. A microcosm within mathematics, whose self-similar structures run to infinity, has opened up before us.

Have you ever seen the Grand Canyon or Monument Valley in America? Have you perhaps flown in an aeroplane through their ravines and valleys? Have you gazed out from a high peak upon the scenery below? We have done all that in the Land of Infinite Structures, too. And here we have once more collected together some of the photographs as a memento.

With the sun low in the evening, when the contours are at their sharpest, we fly from the west into Monument Valley. Rocky outcrop upon rocky outcrop towers red into the sky. Below spreads the flat land of the reservation. Between two mesas we lose height and turn to the right:

Ahead of us stretches the plateau. At its edge, as far as the eye can see in the twilight, stretch the cliffs, seeming to lose themselves in the infinite distance:

A glance at our flight-plan shows that we are flying in the area of a basin boundary: …

The nearer we approach, the more precipitous and forbidding the slopes become, throwing long shadows in the evening sun:

Suddenly a gap opens up in the hitherto impenetrable massif. We follow it with the setting sun.