catenoid


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Related to catenoid: helicoid

catenoid

(ˈkætəˌnɔɪd)
n
(Mathematics) the geometrical surface generated by rotating a catenary about its axis
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References in periodicals archive ?
As shown in Figure 3, six forms are involved in this study including Kiewitt pyramidal spherical reticulated shell (KPS), geodesic pyramidal spherical reticulated shell (GPS), Kiewitt pyramidal catenoid reticulated shell (KPC), Kiewitt spherical reticulated megastructure (KSM), rib-circle spherical reticulated megastructure (RSM), and rib-circle-reinforced spherical reticulated megastructure (RRSM).
Atomic structures of [beta]-barrels have been modeled as hyperboloid surfaces [40-42] or catenoid surfaces [43].
Coupling between meniscus and smectic-A films: circular and catenoid profiles, induced stress, and dislocation dynamics.
Alumae determined the critical value of the axisymmetric membrane stress state for a long catenoid shell under contour loading.
Actually, we will show the de Sitter pseudosphere, the hyperbolic pseudosphere, and five kinds of catenoid satisfying the above condition.
Among basic shapes of resonators belong circular resonators with following shapes: conic, exponential, catenoid, gradual.
Generally speaking, it stands for a minimal energy state, and since such "minimal surfaces" are especially important in physics and chemistry, la chainette and the surface it generates when rotated turn up all over, as the catenoid of a soap bubble stretched between two loops or of the lipid bilayer in cell membranes; another such minimal surface is the helicoid of DNA.
In reality the iglu shape is best described as an inverted paraboloid or a catenoid in which the compressive forces increase toward the base of the structure, ensuring structural integrity (Handy, 1973).
The trio are the plane, the helicoid, and the catenoid (the latter two are shown in Figure 3a and b, respectively).