Definition of Catenoid. Meaning of Catenoid. Synonyms of Catenoid

- In geometry, a catenoid is a type of surface, arising by rotating a catenary curve about an axis (a surface of revolution). It is a minimal surface, meaning...
- The helicoid, also known as helical surface, after the plane and the catenoid, is the third minimal surface to be known. It was described by Euler in 1774...
- cartographic projection necessarily distorts at least some distances. The catenoid and the helicoid are two very different-looking surfaces. Nevertheless...
- of the catenary, and the minimal surface of revolution will thus be a catenoid. Solutions based on discontinuous functions may also be defined. In particular...
- with this metric is embedded in euclidean three-space the image is the catenoid C{\displaystyle {\mathcal {C}}} shown above, with ρ{\displaystyle \rho...
- less likely to cause it to buckle because in an inverted paraboloid or catenoid the pressures are nearer to being exclusively compressive. The individual...
- other types of surfaces. Catalan's minimal surface Costa's minimal surface Catenoid Enneper surface Gyroid Helicoid Lidinoid Riemann's minimal surface Saddle...
- In 1776 Jean Baptiste Marie Meusnier discovered that the helicoid and catenoid satisfy the equation and that the differential expression corresponds to...
- in the design of certain types of arches and as a cross section of the catenoid—the shape ****umed by a soap film bounded by two parallel circular rings...
- no sharp edge at the gluing. If done with care the result will be the catenoid C{\displaystyle {\mathcal {C}}} pictured at right, or something similar...