Geometry is the mathematical study of shapes, sizes, positions, and dimensions, exploring the properties and relationships of points, lines, angles, surfaces, and solids. This ancient discipline—formalized by Euclid over two millennia ago—combines visual intuition with logical reasoning to understand spatial structures and patterns. From the Pythagorean theorem to non-Euclidean geometries, geometric principles have continuously evolved to describe increasingly complex spaces and dimensions. Beyond its theoretical elegance, geometry provides essential tools for architecture, engineering, computer graphics, navigation, and countless other practical applications. The subject bridges art and science, appealing to both visual and analytical thinking while revealing fundamental truths about the spatial world we inhabit. As both a practical tool and a gateway to abstract mathematical reasoning, geometry continues to illuminate connections between form, function, and logical structure.