Deformable surfaces

The surfaces below belong to the field "deformation theory". The brass plate stripe on the rotation ellipsoid 191 is also developable on the helicoid 192. The pliable catenoid 197 is also developable on the catenoid 195 and on the helical surface 196. You find other examples of defomable surfaces in the category Surfaces of constant curvature (182-187).

Img(191) Oblate rotational ellipsoidImg(192) Helicoid
Img(193) Surfaces developable on rotational paraboloidImg(194) Areas developable on rotational paraboloid
Img(195) CatenoidImg(196) Helical surface
Img(197) Catenoid made of pliable brass plateImg(300) Movable octahedron (octaedre articule)
Img(422) Wire gauze of surfaces according to FinsterwalderImg(451) Closed polyhedrons without self-penetration
Img(452) Closed polyhedrons without self-penetrationImg(453) Closed polyhedrons without self-penetration
Img(454) Closed polyhedrons without self-penetrationImg(455) Closed polyhedrons without self-penetration
Img(456) Closed polyhedrons without self-penetrationImg(461) Two spheres
Img(864) Nonrigid rotational surfaces