The new approach to quantitative morphometry, initiated by Horton (1945), has resulted in the recognition, measurement and comparison of the basic units of landscape geometry; the application to them of the principles governing the behaviour of open physical systems; and the testing and quantifying of the Davisian principles of landscape evolution. The laws of morphometry are here illustrated from three regions of maturely dissected sandstone terrain, lacking in differential gross structural control, and it is discovered that uniform, dimensionless ratios hold for their geometry.