Theoretical Geometry

Theoretical geometry is a branch of mathematics that explores the properties, relationships, and structures of shapes, points, lines, and spaces without necessarily focusing on practical applications. It involves understanding abstract concepts such as dimensions, angles, and symmetry through logical reasoning and proof. This field helps us comprehend the fundamental nature of geometric forms, often working in higher dimensions or more complex spaces than those we encounter in everyday life. In essence, it provides a deep understanding of the principles governing shapes and their behavior in both familiar and abstract contexts.