The "dimensions" are non-euclidean, first of all.

"Right. How many dimensions DOES a Chinese embassy have then?"

"The topological features of natural terrain (sand dunes, ocean surface, forests) are characterized by irregular shapes whereas man-made objects (missiles, vessels, vehicles) contain regular features with sharp edges and straight lines. A numerical quantity called the fractal dimension, "D", can be computed from an image of natural terrain. If a man-made object is superimposed onto the natural terrain background, the value of "D" changes noticeably. Therefore, an image could be characterized as completely natural or as containing a man-made object by obtaining the value of "D." By placing this processing capability on-board a satellite, the pre-processed imagery could be fused with other sensory information or simply down linked to national and theater-level analysts. Although fractal-like backgrounds can be defeated by cloud/smoke-cover or camouflage, if fused with information from other sensory sources, it can help the analyst or the processing software identify ground based signatures." (http://www.au.af.mil/Spacecast/app-b/app-b.html)

Show me a picture of one, and I can tell you. Buildings have more order than does the landscape. The Landscape still shows the order, though, because it has its base on the same equations that can be used to describe things. The equations have room for lots of variation, based on initial conditions of the variables in the equation, but they follow the same fractal pattern in how they evolve or generate.