Arithmetic operations among shapes using shape numbers

摘要: Abstract In this work, a notation is given called the Discrete Geometry of Shapes , which describes forms or shapes flat regions limited by simply connected curves. A procedure that deduces from every region unique number (its shape ) independent translation and rotation, optionally, size origin. All integer numbers contain all universe discrete (of course with different precision). there are such as straight lines, circumferences, ellipses, parabolas, trigonometric functions, graphics time, absorption waves, etc. The one-dimensional. It does not use definition equation function to define in rectangular co-ordinate plane. With it possible generate any characteristics generating numerical sequences; also do arithmetic operations among shapes. For example, addition square circle, average triangle root pentagon, relations between shapes, Section V work third dimension for surfaces volumes means vector numbers. add surfaces, divide volumes, obtain volume, main objective simplification some mathematical geometrical processes analysis surfaces.