Geometrized Symbols and the Related Codes

Abstract

In this paper geometry is studied with a novel approach. Every geometrical object is defined as a symbol which satisfies some properties. These symbols are then coded into a class of numbers which are named here as many dots numbers (MDN). The algebraic structure of MDN is established. Assuming the universe as a symbol, the existence of dark matter is explained qualitatively. Moreover, it is shown that dark matter increases as the universe expands.