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In this section, the vast parameter space of universal multifractals is explored with arrays of images, with false colour to look a bit like cloud fields (without the radiative transfer which makes them look much more realistic- see the galleries).

The simplest case is 2D isotropic multifractals (isotropic means the same in all directions, such fractals or mulitfractals are also called "self-similar"). Isotropic universal mulitfractals are statistically completely described by the parameters alpha, H, and C1. 2D fields are generally fast to compute and easy to visualize; more realistic visualization requires the generation of 3D fields with the simulation of radiative transfer.

Here we explore this 3 dimensional alpha, H, and C1 parameter space. Since at each point a 2D image is necessary to understand how the parameters interact, we present the data in 2D cross sections, with each of alpha, C1, and H held constant separately.

CLICK ON A PLANE TO CHOOSE ALPHA

CLICK ON A PLANE TO CHOOSE C1:

CLICK ON A PLANE TO CHOOSE H:

After you have a feel for the parameters alpha, C1 and H, we can introduce more complexity through anisotropy.

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