I will give a detailed introduction into the successful construction of General Relativity from a geometrical perspective. I will introduce the geometrical trinity of gravity, in which the same theory of General Relativity can be constructed a la Einstein based on curvature, a la TEGR based on torsion and a la CGR based on non-metricity, which represents a simpler formulation of General Relativity. Starting
from the defining key properties of General Relativity I will explain in which consistent ways these properties can be altered and generalizations beyond General Relativity can be constructed.