http://rogermarjoribanks.info/geologists-wobble/ Sat, 14 Feb 2026 08:45:10 +0000 hourly 1 https://wordpress.org/?v=3.8.41 http://rogermarjoribanks.info/geologists-wobble/#comment-126 Sun, 14 Nov 2021 05:18:52 +0000 http://rogermarjoribanks.info/?p=1609#comment-126 […] Scale invariance refers to the way that structures resulting from a single tectonic event exhibit similar styles of deformation at scales that can range from the microscopic to that of a regional map.  Style refers to general aspects of the appearance of structures such as tightness, degree of irregularity, and asymmetry (but not the sense of asymmetry, that is not a fractal attribute) and so on.  Since the characteristic essence of the shape of any natural object, regardless of its size, can be expressed as a fractal dimension, scale invariance relationships have come to be called fractals by geologists. A fractal dimension is a dimension between 1 and 2 if dealing with lines on a plane figure such as a map or section, and between 2 and 3 if dealing with a solid object.  (I have attempted a definition of fractal dimension in footnote 6, below, but the subject is complex and really requires a whole post of its own see Link). […]

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