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Helicoid information


A helicoid with α = 1, −1 ≤ ρ ≤ 1 and −π ≤ θ ≤ π.

The helicoid, also known as helical surface, is a smooth surface embedded in three-dimensional space. It is the surface traced by an infinite line that is simultaneously being rotated and lifted along its fixed axis of rotation. It is the third minimal surface to be known, after the plane and the catenoid.

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Helicoid

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The helicoid, also known as helical surface, is a smooth surface embedded in three-dimensional space. It is the surface traced by an infinite line that...

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Generalized helicoid

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In geometry, a generalized helicoid is a surface in Euclidean space generated by rotating and simultaneously displacing a curve, the profile curve, along...

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Ruled surface

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cone, a conical surface with elliptical directrix, the right conoid, the helicoid, and the tangent developable of a smooth curve in space. A ruled surface...

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Catenoid

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associate family of surfaces, a catenoid can be bent into a portion of a helicoid, and vice versa. The catenoid was the first non-trivial minimal surface...

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Isotropic helicoid

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An isotropic helicoid is a shape that is helical, so it rotates as it moves through a fluid, and yet is isotropic, so that its rotation and drag are the...

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Helix

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helix – for example, a "spiral" (helical) ramp – is a surface called a helicoid. The pitch of a helix is the height of one complete helix turn, measured...

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Minimal surface

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beyond the plane. In 1776 Jean Baptiste Marie Meusnier discovered that the helicoid and catenoid satisfy the equation and that the differential expression...

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Monodromy

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punctured complex plane. This cover can be visualized as the helicoid (as defined in the helicoid article) restricted to ρ > 0. The covering map is a vertical...

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Olympus OM system

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Straight helicoid 640 g 82 mm 102 mm Not necessary Built-in (L39,Y48, O56,R60) 16 mm F3.5 Fisheye 180° 11–8 Auto 3.5–22 0.2 m - Straight helicoid 180 g 31 mm...

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Theorema Egregium

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projection necessarily distorts at least some distances. The catenoid and the helicoid are two very different-looking surfaces. Nevertheless, each of them can...

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Sympodial branching

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bifurcation, e.g. always on the right side, the branching structure is called a helicoid cyme or bostryx. If the sympodium occurs alternately, e.g. on the right...

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Serpiginous choroiditis

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Serpiginous choroiditis, also known as geographic helicoid peripapillary choroidopathy (GHPC), is a rare, chronic, progressive, and recurrent bilateral...

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Routhian mechanics

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the trajectory is a helicoid with varying radius but uniform motion in the z direction. Bottom: Constant r and dθ/dt means a helicoid with constant radius...

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List of surfaces

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minimal surface Costa's minimal surface Catenoid Enneper surface Gyroid Helicoid Lidinoid Riemann's minimal surface Saddle tower Scherk surface Schwarz...

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Inflorescence

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monochasium Secondary buds always develop on the same side of the stem: helicoid cyme or bostryx The successive pedicels are aligned on the same plane:...

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Propeller

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the helicoid surface in the same way that an aerofoil may be described by offsets from the chord line. The pitch surface may be a true helicoid or one...

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Glossary of botanical terms

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Vegetation dominated by small shrubs which usually have ericoid leaves. helicoid Coiled; of a cymose inflorescence, when the branching is repeatedly on...

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Sphere

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two-parameter families of rigid motions and the surfaces of revolution and helicoids are the only surfaces with a one-parameter family. The basic elements...

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Crystal siltsnail

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The crystal siltsnail, also known as the helicoid spring snail, scientific name Floridobia helicogyra, is a species of small freshwater snail with a gill...

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Anemometer

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and give satisfactory results. Vane anemometers Vane style of anemometer Helicoid propeller anemometer incorporating a wind vane for orientation Hand-held...

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Daylily

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produced on scapes. The slightly irregular shaped flowers are arranged in helicoid cymes, or produced solitarily. The scapes of some species and cultivars...

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Leica Camera

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such as the Focorapid and Televit, that could replace certain lenses' helicoid mounts for sports and natural-life telephotography.[citation needed] In...

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Boraginaceae

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Hartmut H. (2003). "Boraginaceae Cymes Are Exclusively Scorpioid and Not Helicoid". Taxon. 52 (4): 719–724. doi:10.2307/3647346. ISSN 0040-0262. JSTOR 3647346...

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Phloeodes diabolicus

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layer. These fibers are twisted and stacked upon each other creating a "helicoid" arrangement, forming laminated structures. This formation allows for strong...

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Associate family

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ellipse. Some examples of associate surface families are: the catenoid and helicoid family, the Schwarz P, Schwarz D and gyroid family, and the Scherk's first...

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