3 CONVERGING INSTITUTIONS
The Metric Distortion & Conformal Mapping Convergence
Cartography, 3D Computer Graphics, and General Relativity colliding at Riemann metrics.
CartologiumCartography
Tissot indicatrix distortion ellipses in world map projections.
Morphologium3D Graphics
Least-Squares Conformal Mapping (LSCM) in UV texture unwrapping.
ChromologiumColor Science
MacAdam ellipses in CIE chromaticity diagrams.
GOVERNING PHYSICAL / MATHEMATICAL LAW
Gauss-Bonnet theorem and metric tensor distortion under non-Euclidean coordinate projection.
g_{ij} dx^i dx^j = E du^2 + 2F du dv + G dv^2EPISTEMIC SIGNIFICANCE:
Proves that flattening any curved 2D manifold onto a flat Euclidean plane incurs mathematically unavoidable shearing or areal distortion.