Shaun Lovejoy
Mulitfractal Explorer

The main aim of the Multifractal Explorer is to show in a fairly visual manner the possibilities anisotropic universal multifractals especially their geophysical applications. The theory is pretty minimal as is the mathematics. The the introduction, gives the definitions for the parameters, and the multifractals section, which shows how the fields change with the parameters. The remaining sections show some of the areas of applications of multifractals in geophysics, especially clouds, radiation rain, and topography. The site is intended to be viewed in order, but you can jump to the galleries and refer back to the introduction and glossary when necessary. There is a main navigation bar under the title, and sub bars appear within each section. Also, on many pages there are supplemental tables showing relevant mathematical details of the page's contents.

• introduction - Here, the notions of fractal, multifractal, and universality are introduced, as well as the parameters &alpha, C1, and H. Anisotropy is discussed through Generalized Scale Invariance (GSI).
• multifractals - The parameter space of self similar universal multifractals spanned by &alpha, C1, and H is explored through cloud density textures. Self-affine and more general anisotropic multifractals are also shown.
• clouds - Clouds modeled with 3D multifractal fields with radiative transfer also modelled.
• topography - Self similar and anisotropic multifractals shown as relief models.
• misc - The wide applications of multifractals are partially displayed here. Examples shown include mantle convection, Chernobyl fallout concentration, rain frequency, and smog.
• movies - Several animations showing, for example, nowcasting applications and stratification direction changes with scale.
• publications - References to the technical papers that describe multifractals.