Abstract：The uniform index theorems in R1 and Rn were proved , which is the base of spatial property studies on random point set, also that of the spatial property studies on chaos. When uniformity theory was used in the studies on chaos, it was found that the uniform indices of double periodic fork were determinate convergent and that of chaos were convergent in mean square. Monopolized line length can be used to differentiate the intensity of chaos, on which the new word "chaometry" was constructed to show the intensity of chaos. The model and serial on chaos can be quantificationally evaluated by chaometry. Chaos can be interpreted as uniformization of track point set.