Ricci Flow: Smoothing the Geometry of Space

This visualization shows how a 2D surface metric g_ij evolves under Ricci flow: ∂g_ij/∂t = -2 R_ij. Instead of drawing full tensors, we illustrate the idea that regions of positive curvature shrink and negative curvature expand. A deforming grid and colored curvature field represent how the "shape of space" changes over time under the influence of its curvature.