The Internal Structure of a Three-Dimensional City

The internal structure of a closed monocentric three-dimensional city has been analyzed. It has been found that the rent function is quasi-convex and building height function is convex when the value of height is always negative. If the value of height is dependent upon the height amenity and disamenity, the direction of change in rent with respect to height will depend on the relative height. The population density function derived from the three-dimensional city model has been estimated. It has been found that the explicability of the three-dimensional city model is far greater than the standard two-dimensional one.