catenoid


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Related to catenoid: helicoid

cat·e·noid

(kat'ĕ-noyd),
1. Chainlike, such as a chain of fungus spores or a colony of bacteria in which the individuals are joined end to end. Synonym(s): catenulate
2. Surface of net zero curvature generated by the rotation of a catenary (curve of repose of a suspended chain); the interventricular septum of the heart in idiopathic hypertrophic subaortic stenosis resembles a catenoid, which makes it ineffective in increasing intracavity pressure or in reducing its volume as defined in Laplace law.
[L. catena, chain, + G. eidos, resemblance]

catenoid

(kăt′ĕ-noyd) [″ + Gr. eidos, form, shape]
Chainlike; pert. to protozoan colonies whose individuals are joined end to end.
References in periodicals archive ?
Example 5 (the catenoid of the 4th kind is shown in Figure 4).
Therefore, the surface of catenoid of the 4th kind is minimal.
Example 6 (the catenoid of the 5th kind is shown in Figure 5).
Therefore, the surface of catenoid of the 5th kind is minimal.
are locally the catenoid of the 1st kind, the catenoid of the 3rd kind, the de Sitter pseudosphere, or the hyperbolic pseudosphere.
Therefore, the surface is minimal; from theorem 1 in [9], it is the 1st kind of catenoid. Furthermore, the 1st kind of catenoid satisfies condition (33).
In this case, we can assume that f'(u) = sinh t and g'(u) = cosh t, and using the same algebraic techniques as for [epsilon] = 1 easily prove that the 3rd kind of catenoid and the de Sitter pseudosphere satisfy condition (33).
are locally the 2nd kind of catenoid, the 4th kind of catenoid, the 5th kind of catenoid, the hyperbolic pseudosphere, or the de Sitter pseudosphere.
Therefore, the surface is minimal; from theorem 2 in [9], it is the 5th kind catenoid. Furthermore, the 5th kind catenoid satisfies the condition (76).