Projecting Spaces

Projecting spaces refers to the process of transforming a higher-dimensional space into a lower-dimensional one, typically for visualization or analysis. Think of shining a light through a 3D object onto a 2D surface—this projection captures essential features while simplifying the complexity. In mathematics and data science, projections help visualize relationships by mapping data points from a large, complex space into a more manageable form, preserving key properties like distances or structures. This technique aids in understanding, interpreting, and working with complex data or geometries by reducing dimensions without losing crucial information.