formgeometry
Formgeometry is an interdisciplinary field that studies the properties and relationships of geometric forms, with an emphasis on form as an entity independent of metric measurements. It investigates how shapes appear, transform, and relate to one another through operations such as morphing, deformation, symmetry, and subdivision. Unlike traditional Euclidean geometry, which centers on exact distances, formgeometry foregrounds qualitative features such as silhouette, topology, and structural invariants.
Core concepts include form, shape, and the space of shapes (shape space), as well as equivalence under
Applications span computer-aided design, computer graphics, architectural analysis, digital fabrication, and animation. Formgeometry provides tools to
History and development: the term formgeometry has appeared in design and mathematics literature as a bridge
See also: geometry, topology, computational geometry, shape analysis, morphing, computer-aided design.