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Considering ice material as a metamorphic state of snow, the paper argues about the possible application of fractal geometry to describe the physical properties and the mechanical behaviour of ice. On the basis on the evidence of fractality, the formation of crevasses on the glaciers of the Italian Alps is analysed. Application of the box-counting method permits to analyse the distribution of crevasses network within the glacier continuum. Assuming the glacier as a damaged continuum, the application of Multifractal Scaling Law, originally developed for concrete-like materials [2], on the fracture energy and strength of ice is discussed.