The authors of this paper induced five principles of geographical symmetry
based on the space distributions of cities and towns in China. There is a s
ymmetry distribution of cities and towns. The symmetry characteristics are
the following: (i) the average coordination number of the cities (including
large cities, medium cities and county towns) is 6 ( i.g. rotation symmetr
y); (ii) the distribution of large and medium cities are shown to be the la
tticework in which two directions are parallel to two main tectonic ones in
China, respectively; (iii) the distribution of county towns of a province
is also shown to be the latticework in which two directions are parallel to
two tectonic ones in this province (i. g. two-dimensional translation) and
(iv) the concentric circle distribution of cities (CCDC) is centered round
a large city (i. g. rotation symmetry).