"How long is the coast of Britain?" was question stated by Mandelbrot. Using smaller and rulers length limits to infinity. If this logic applied fractal heat sink geometry, infinite cooling capacity should be obtained using fractals with mathematically surface area. The aim article check idea Richardson extrapolation numerical simulation results varying element from one zero. As expected, extra...

The purpose of this work is to highlight the epistemological proximity between Nietzsche’s philosophy science and underlying philosophical principles fractal geometry, as illustrated in main its creator, French mathematician Benoit Mandelbrot.This also aims find end continuity, finding an important divergence risk taking Mandelbrot’s legacy management.

Curvature measures are an important tool in geometric measure theory and other fields of mathematics for describing the geometry of sets in Euclidean space. But the ‘classical’ concepts of curvature are not directly applicable to fractal sets. We try to bridge this gap between geometric measure theory and fractal geometry by introducing a notion of curvature for fractals. For compact sets F ⊆ R...