Because there is no focusing lens, the plate appears as a meaningless pattern of swirls. Any piece of the hologram will reconstruct the entire image.
Each thing is a miniature replica of the whole - a composition. The microcosm is in every respect like the macrocosm, according to scientists and sages.
Until now we stressed that coastlines' geometry is complicated, but there is also a great degree of order in their structure.
Although maps drawn at different scales differ in their specific details, they have the same generic features. In a rough approximation, the small and large details of coastlines are geometrically identical except for scale.
One may think of such a shape as drawn by a sort of fireworks, with each stage creating details smaller than those of the preceding stages. However, a better term is suggested by our Lewis Richardson's noted work on turbulence: the generating mechanism may be called a cascade.
When each piece of a shape is geometrically similar to the whole, both the shape and the cascade that generate it are called self-similar.
Stars shine, planets are round, bridges remain geologically rather small, cells divide rapidly, atoms randomly vibrate, electrons disobey Newton, all because of scale.
For who does not see that a horse falling from a height of six or eight feet will break its bones, while a dog falling from the same height ... will suffer no harm? ... A little dog might carry on its back two or three dogs of the same size, whereas I doubt if a horse could carry even one horse of the same size.