Scale invariance has attracted scientists from various disciplines since the early 1980’s. B. B. Mandelbrot has been the pioneer on this field; he introduced first ideas in the 1960’s and was the first to write a comprehensive book on scale invariance (Mandelbrot 1982). However, the idea of scale dependence and scale invariance is much older; D. L. Turcotte begins his book on fractals and chaos in earth sciences (Turcotte 1997) with a citation of J. Ruskin from the year 1860: A stone, when it is examined, will be found a mountain in miniature. The fineness of Nature’s work is so great, that, into a single block, a foot or two in diameter, she can compress as many changes in form and structure, on a small scale, as she needs for her mountains on a large one; and, taking moss for forests, and grains of crystal for crags, the surface of a stone, in by far the plurality of instances, is more interesting than the surface of an ordinary hill; more fantastic in form, and incomparably richer in colour — the last quality being most noble in stones of good birth (that is to say, fallen from the crystalline mountain ranges).