Differential Geometry & Continuous Form
This cluster studies how smooth, continuous geometric properties are preserved, measured, and represented across discrete computational meshes and spherical projections.
Indexed Cluster Nodes (8)
Catmull-Clark Subdivision
Recursive smoothing scheme converging to continuous C² bicubic limit surfaces.
Quad Manifold Topology
2-manifold polygonal meshes preserving continuous neighborhood metrics without degenerate singularities.
Signed Distance Fields (SDF)
Implicit continuous scalar distance representations with zero-boundary isosurfaces.
Brutalist Architecture
Monolithic raw concrete (béton brut) emphasizing unadorned structural honesty and load-bearing honesty.
Composite Material Physics
Multiphase material matrices combining tension and compression load resistance.
Conformal UV Parameterization
Least-Squares Conformal Mapping (LSCM) minimizing angle shearing from 3D surfaces to 2D texture planes.
Dual Quaternions & Kinematics
Non-singular 4D rotation and translation algebra eliminating candy-wrapper joint collapses.
Relational Isomorphism
Structure-preserving mapping between two distinct mathematical or theoretical domains ($f: A \to B$).