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helicoid

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Helicoid - Wikipedia
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. en.wikipedia.org
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Helicoid -- from Wolfram MathWorld
The (circular) helicoid is the minimal surface having a (circular) helix as its boundary. It is the only ruled minimal surface other than the plane. mathworld.wolfram.com
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HELICOID Definition & Meaning - Merriam-Webster
1. Forming or arranged in a spiral. 2. Having the form of a flat coil or flattened spiral. helicoid snail shell. www.merriam-webster.com
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helicoid
helicoid, a. and n. (ˈhɛlɪkɔɪd) Also 7 -oeid. [mod. ad. Gr. ἑλικοειδής of winding or spiral form, f. ἕλιξ helix + εἶδος shape: see -oid. Cf. F. hélicoïde (1704 in Hatz.-Darm.).] A. adj. 1. Having the form of a helix; screw-shaped; spiral. Chiefly in Zool. of shells, and in Bot. of forms of infloresc... Oxford English Dictionary
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Repair: Helicoids | Richard Haw's Classic Nikon Repair and Review
Helicoids are essential for focusing a manual lens. While it is a joy to focus with one, it is a big pain to repair for beginners and it can ... richardhaw.com
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Helicoid Adapters - Fotodiox Pro
Fotodiox Pro Lens Mount Adapter - Mamiya RB67/RZ67 Mount Lens to Nikon F Mount SLR Camera Body with Built-In Focusing Helicoid fotodioxpro.com
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Isotropic helicoid
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 wikipedia.org
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Right helicoid - MATHCURVE.COM
A right helicoid, also called Meusnier helicoid, is a closed normal ruled helicoid where the generatrix is perpendicular to the axis. It is also a minimal ... mathcurve.com
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Helicoid - The Rejbrand Encyclopædia of Curves and Surfaces
Definition. The helicoid is the image r(R2) where r(u,v)=e_(ucosvusinvv). Below, the image r([−π,π]×R) is shown. trecs.se
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Generalized helicoid - Wikipedia
A generalized helicoid is a surface in Euclidean space generated by rotating and simultaneously displacing a curve, the profile curve, along a line, its axis. en.wikipedia.org
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[PDF] The uniqueness of the helicoid - Annals of Mathematics
A properly embedded simply-connected minimal surface in R3 is either a plane or a helicoid. The helicoid admits no planar or catenoid type ends in its ... annals.math.princeton.edu
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Generalized helicoid
One gets a helicoid (closed right ruled generalized helicoid). (2) The line intersects the axis, but not orthogonally. , S. 47 mathcurve.com: circular generalized helicoid mathcurve.com: developable generalized helicoid mathcurve.com: ruled generalized helicoid K3Dsurf: wikipedia.org
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helicoidly
ˈhelicoidly, adv. [f. helicoid a. + -ly2.] In a helicoid manner, spirally.1849 Dana Geol. App. i. (1850) 720 A fusiform chamber helicoidly divided. Oxford English Dictionary
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Opens of helicoid and catenoid Helicoid (H) and Catenoid (C) are locally isometrics. It means that there is a locally diffeomorphims $\phi: U \subset H \longrightarrow V\subset C$ such that $\left<d\phi_{p}(w_{1}), d\...
Whether two surfaces are locally isometric is an intrinsic question: There is a local diffeomorphism that preserves the _first_ fundamental form. This says nothing about the extrinsic geometry, i.e., the Gauss map or the second fundamental form. Thus, we expect no relation between the lines of curva...
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Catenoid
Helicoid transformation Because they are members of the same associate family of surfaces, one can bend a catenoid into a portion of a helicoid without corresponds to a catenoid, and corresponds to a left-handed helicoid. wikipedia.org
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