Możliwość zastosowania wymiaru fraktalnego do określania kształtu kryształów na przykładzie wybranych minerałów skałotwórczych intruzji Monczegorska (NE Fennoskandia)
Abstract
The possibility of using a fractal dimension to determine the shape of crystals – a case study on selected rock-forming minerals from the Monchepluton intrusion (NE Fennoscandia).
A b s t r a c t. A petrographic description of olivine, ortho-, clinopyroxene, and plagioclase was obtained for rocks derived from a Paleoproterozoic layered intrusion of the Monchepluton. Based on these results, calculations were made of the fractal box dimension, which determines the degree of development of the boundaries of these minerals. After the calculations, they were illustrated on maps showing the correlation of this coefficient with the location of the sample in the field. These results were then correlated with petrographic observations. Based on this method, the analogies between the result of the fractal dimension and the petrographic description of rock-forming minerals were assessed. The data show that such an analogy to a limited extent may be a significant indicator for the interpretation of the results. The use of this method is not universal and strictly depends on the mineral association and the knowledge obtained by classic petrographic studies.
A b s t r a c t. A petrographic description of olivine, ortho-, clinopyroxene, and plagioclase was obtained for rocks derived from a Paleoproterozoic layered intrusion of the Monchepluton. Based on these results, calculations were made of the fractal box dimension, which determines the degree of development of the boundaries of these minerals. After the calculations, they were illustrated on maps showing the correlation of this coefficient with the location of the sample in the field. These results were then correlated with petrographic observations. Based on this method, the analogies between the result of the fractal dimension and the petrographic description of rock-forming minerals were assessed. The data show that such an analogy to a limited extent may be a significant indicator for the interpretation of the results. The use of this method is not universal and strictly depends on the mineral association and the knowledge obtained by classic petrographic studies.