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a helicoid generated by rotating and translating a line at a constant rate about an axis to which it is perpendicular


 (hĕl′ĭ-koid′, hē′lĭ-)
Arranged in or having the approximate shape of a flattened coil or spiral.
n. Mathematics
A surface in the form of a coil or screw.

[Greek helikoeidēs : helix, helik-, spiral; see helix + -oeidēs, -oid.]


(Biology) biology shaped like a spiral: a helicoid shell.
(Mathematics) geometry any surface resembling that of a screw thread
ˌheliˈcoidally adv


(ˈhɛl ɪˌkɔɪd, ˈhi lɪ-)

1. coiled or curving like a spiral.
2. a warped geometric surface generated by a straight line moving so as to cut or touch a fixed helix.
[1690–1700; < Greek helikoeidḗs. See helix, -oid]
hel`i•coi′dal, adj.
References in periodicals archive ?
Contract notice: Supply and installation 2 computerized tomography helicoids.
Formation of Hollow Helicoids in Mesoporous Silica: Supramolecular Origami.
The external helicoids of the cone screw and the internal helicoids of the bush form a series of seal cavities, and the seal cavities go over the discharge end by spiral with the rotation of the cone screw.
Van de Woestyne, A new characterization of the helicoids, Geometry and Topology of Submanifolds V.
n+1] [11], and helicoids of the 1st, 2nd, and 3rd kind, conjugate Enneper's surfaces of the second kind, and B-scrolls in [E.
The so generated helical surface is named convolute helicoids of the first specie, and it is obtained only by the shown kinematics, if the sense of the inclination of the line d and the sense of the helix coincide.
The proof shows that helicoids with more than one handle are also embedded.
Among the topics covered are computational aspects of discrete minimal surfaces, conjugate plateau constructions, parabolicity and minimal surfaces, the isoperimetric problem, the genus-one helicoids as a limit of screw-motion invariant helicoids with handles, isoperimetric inequalities of minimal submanifolds, embedded minimal disks, minimial surfaces of finite topology, conformal structures and necksizes of embedded constant mean curvature surfaces, and variational problems in Lagrangian geometry.