Quantitative Analysis of Brittle Fracture Surfaces Using Fractal Geometry - Mecholsky - 2005 - Journal of the American Ceramic Society. Www.fch.vutbr.cz/lectures/imagesci/download_ejournal/01_O.Zmeskal.pdf. Fractals and Complexity. Fractals and Complexity How would you characterize the images on this page? Describing them using traditional features such as "size" and overall "shape" wouldn't really say much, although it could be very informative for some other forms, such as when characterizing "a 10 cm, round orange" or "a 300 cm x 100 cm oblong watermelon", for instance. But using such descriptors for the images here would oversimplify the detail in their patterns. Describing these patterns using the terms of fractal analysis with FracLac, however, can convey some of the complexity inherent in their design.
These images show diffusion limited aggregation, which is a type of fractal growth that can be analyzed with FracLac. What is Fractal Analysis? Fractal analysis is a contemporary method of applying nontraditional mathematics to patterns that defy understanding with traditional Euclidean concepts. In essence, it measures complexity using the fractal dimension. Fractal Patterns Imagine a real fractal. Relationship between Fractal Geometry and Fractography - Mecholsky - 2005 - Journal of the American Ceramic Society. Uh7qf6fd4h.scholar.serialssolutions.com/?sid=google&auinit=L&aulast=Plangsangmas&atitle=Determination+of+fracture+toughness+of+epoxy+using+fractography&id=doi:10.1002/(SICI)1097-4628(19990411)72:2<257::AID-APP11>3.0.CO%3B2-M&title=Journal+of+applied+polym.