In differential geometry, the Gaussian curvature or Gauss curvature Κ of a smooth surface in three-dimensional space at a point is the product of the principal curvatures, κ₁ and κ₂, at the given point: From Wikipedia
Mainardi-Codazzi-Peterson incompatibility, not Gauss curvature, drives stress concentration and cusp formation in roses, offering insights for bio-inspired material design.