| 释义 |
Definition of catenoid in English: catenoidnoun ˈkatənɔɪdˈkatəˌnoid Geometry The surface generated by rotating a catenary about its horizontal axis. Example sentencesExamples - These catenoids are the first explicitly known discrete minimal surfaces besides the trivial plane.
- Again, branched catenoids can exist only if an upper limit for the distance of neighbouring nets is not exceeded.
- The bidenoid is a well-controlled modification of the catenoid by Hermann Karcher.
- Soap bubbles and cell membranes are often catenoids, and molecules may knit together to form helicoid surfaces, emblems of stable energy states.
- The catenoid is a minimal surface with ‘too much’ negative curvature.
Origin Late 19th century: from Latin catena 'chain' + -oid. Definition of catenoid in US English: catenoidnounˈkatəˌnoid Geometry The surface generated by rotating a catenary about its horizontal axis. Example sentencesExamples - These catenoids are the first explicitly known discrete minimal surfaces besides the trivial plane.
- The bidenoid is a well-controlled modification of the catenoid by Hermann Karcher.
- Soap bubbles and cell membranes are often catenoids, and molecules may knit together to form helicoid surfaces, emblems of stable energy states.
- The catenoid is a minimal surface with ‘too much’ negative curvature.
- Again, branched catenoids can exist only if an upper limit for the distance of neighbouring nets is not exceeded.
Origin Late 19th century: from Latin catena ‘chain’ + -oid. |