catenoid


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Related to catenoid: helicoid

catenoid

[′kat·ən‚ȯid]
(mathematics)
The surface of revolution obtained by rotating a catenary about a horizontal axis.
References in periodicals archive ?
On the critical value of the axisymmetric membrane stress-state of a catenoid shell.
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).