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Mathematical shape
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
Helicoid
Surface of revolution of a catenary
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
Catenoid
Euclidean space surface
In geometry, a generalized helicoid is a surface in Euclidean space generated by rotating and simultaneously displacing a curve, the profile curve, along
Generalized_helicoid
Space curve that winds around a line
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
Helix
Line of 35mm SLR cameras, lenses, and accessories
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
Olympus_OM_system
Surface generated by translations
{x}}={\frac {1}{2}}(\gamma _{1}(u)+\gamma _{2}(v))\;.} A helicoid is a special case of a generalized helicoid and a ruled surface. It is an example of a minimal
Translation surface (differential geometry)
Translation_surface_(differential_geometry)
Surface containing a line through every point
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
Ruled_surface
Medical condition
Serpiginous choroiditis, also known as geographic helicoid peripapillary choroidopathy (GHPC), is a rare, chronic, progressive, and recurrent bilateral
Serpiginous_choroiditis
Helical shape with equal rotation and drag in all orientations
In fluid dynamics, 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
Isotropic_helicoid
Surface that locally minimizes its area
beyond the plane. In 1776 Jean Baptiste Marie Meusnier discovered that the helicoid and catenoid satisfy the equation and that the differential expression
Minimal_surface
Mathematical behavior near singularities
cover of the punctured complex plane. This cover can be visualized as the helicoid with parametric equations ( x , y , z ) = ( ρ cos θ , ρ sin θ , θ )
Monodromy
Catalan architect (1852–1926)
equate the helicoid form to movement and the hyperboloid to light. Concerning ruled surfaces, he said: Paraboloids, hyperboloids and helicoids, constantly
Antoni_Gaudí
Branch of differential geometry
three dimensions. A more advanced example, known to Riemann, was that the helicoid could (after cutting along a generator) be deformed to a catenoid without
Riemannian_geometry
minimal surface Costa's minimal surface Catenoid Enneper surface Gyroid Helicoid Lidinoid Riemann's minimal surface Saddle tower Scherk surface Schwarz
List_of_surfaces
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
Associate_family
Result of differential geometry proved by Gauss
projection necessarily distorts at least some distances. The catenoid and the helicoid are two very different-looking surfaces. Nevertheless, each of them can
Theorema_Egregium
Asymmetrical branching pattern of a plant shoot
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
Sympodial_branching
Geometric surface
{v}{2}}\right)+bu\end{aligned}}} Another description is a generalized helicoid constructed from the tractrix. Breather surface Kuen surface "Wolfram Mathworld:
Dini's_surface
Vegetation dominated by small shrubs which usually have ericoid leaves. helicoid Coiled; of a cymose inflorescence, when the branching is repeatedly on
Glossary_of_botanical_terms
Species of flowering plant in the family Commelinaceae
In addition to simply reflecting light of a specific wavelength, the helicoid structure also causes light of other wavelengths to be modified so that
Pollia_condensata
Curve where spinning and moving lines cross
the combined motion of the plane with the rotating line will trace out a helicoid. The point where the two lines intersect will trace out a space curve whose
Quadratrix_of_Hippias
Periodic minimal surface
non-trivial examples of minimal surfaces (the first two were the catenoid and helicoid). The two surfaces are conjugates of each other. Scherk surfaces arise
Scherk_surface
French mathematician, engineer and Revolutionary general (1754–1793)
Royale du Génie (Royal School of Engineering). He also discovered the helicoid. He worked with Lavoisier on the decomposition of water and the evolution
Jean_Baptiste_Meusnier
SLR camera
Pentax Helicoid Extension Tube Pentax (Auto) Extension 1, 2, & 3 Pentax Extension (outer) A, B
Pentax_6×7
Mathematical concept
Topologically, it is a thrice-punctured torus. Until its discovery, the plane, helicoid and the catenoid were believed to be the only embedded minimal surfaces
Costa's_minimal_surface
German optics company
such as the Focorapid and Televit, that could replace certain lenses' helicoid mounts for sports and natural-life telephotography.[citation needed] In
Leica_Camera
Device that transmits rotational power into linear thrust on a fluid
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
Propeller
Photography genre and techniques of extreme close-up pictures
distance and increasing magnification. Some tubes incorporate a focusing helicoid which provide a variable extension length, albeit more limited than the
Macro_photography
Outermost layer of some cells
ISBN 978-0-8053-6844-4. Abeysekera RM, Willison JH (1987). "A spiral helicoid in a plant cell wall". Cell Biology International Reports. 11 (2): 75–79
Cell_wall
Differential geometry measure
zero mean curvature at all points. Classic examples include the catenoid, helicoid and Enneper surface. Recent discoveries include Costa's minimal surface
Mean_curvature
SLR cameras from Rolleiflex
range from 30 to 1⁄500 sec in whole steps. Since lenses are focused by helicoid extension, the traditional focusing knob on the left side of Rolleiflex
Rolleiflex_SLX
Botanical term for a cluster of flowers
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:
Inflorescence
Set of points equidistant from a center
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
Sphere
35mm point and shoot camera
reinforced polycarbonate fitted in a titanium shell; the lens barrel, focusing helicoid, and film guide rails are made of aluminum. When it was noted the design
Nikon_Ti_cameras
Digital camera lens mount
autofocus Leica M to Z adapter. The Megadap MTZ11 contains a focusing helicoid with 6.5 mm of extension which is used for autofocus. This range is sufficient
Nikon_Z-mount
25501 5-pin 49mm No No No 1985-01 Original revision had metal focusing helicoid internally, while later revision was made of plastics Minolta AF 50mm f/1
List of Minolta A-mount lenses
List_of_Minolta_A-mount_lenses
the entire set of lens elements and the imaging plane, usually through a helicoid or rack and pinion mechanism. Unit focusing prime lenses do not rotate
Internal_focusing
Mathematics of smooth surfaces
curvature is zero at every point. The best-known examples are catenoids and helicoids, although many more have been discovered. Minimal surfaces can also be
Differential geometry of surfaces
Differential_geometry_of_surfaces
Formulation of classical mechanics
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
Routhian_mechanics
Toy lenses for Nikon SLR cameras
the lens on a mirrorless camera with mount adapter featuring a focusing helicoid. The Gugutto Macro and Fuwatto Soft were designed by Kouichi Ohshita. Both
Nikon_Amusing_Lenses
Helix-shaped road tunnel in Drammen, Norway
this was replaced with a family of trolls made of wood and coiled rope. Helicoid List of tunnels in Norway Roddis, Miles; Lundgren, Kari (2008). Norway
Drammen_Spiral
Ruled surface made of lines parallel to a plane and intersecting an axis
singular points. hyperbolic paraboloid Plücker conoid Whitney Umbrella helicoid hyperbolic paraboloid Plücker conoid Whitney umbrella There are a lot of
Conoid
Species of beetle
proteins to form fibers within each layer. These fibers spiral, creating a helicoid arrangement and forming laminated structures. This formation allows for
Phloeodes_diabolicus
Species of gastropod
The crystal siltsnail, also known as the helicoid spring snail, scientific name Floridobia helicogyra, is a species of small freshwater snail with a gill
Crystal_siltsnail
Standard lens mount on the Canon EOS family
time used a motor in the camera body to drive the mechanics of the focus helicoid in the lens by using a transfer lever. The key innovation of the EF series
Canon_EF_lens_mount
English cricketer and malacologist
developed a keen interest in mollusca. His collection mainly consisted of Helicoid land shells, Bulimoid groups and terrestrial operculates. He was a regular
John_Ponsonby-Fane
Infinitely connected triply periodic minimal surface
square catenoids "open up" (similar to the way the catenoid "opens up" to a helicoid) to form gyrating ribbons, then finally become the Schwarz D surface. For
Gyroid
Family of flowering plants
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
Boraginaceae
Race car class
suspension and programmed deflection, Bilstein shock absorbers and specific helicoid springs Brakes front: 259mm solid discs rear: 8” drum brakes wheels: 6x15”
Dacia_Cup
Family of macro lenses by Nikon
over a wide range of magnifications. S-mount version uses the focusing helicoid of the camera for near-infinity focus and requires using a bellows for
Micro-Nikkor
Species of gastropod
2021. Cooper, J.G. (1869). On the distribution and localities of west coast helicoid land shells, &c. American Journal of Conchology, 4(4): 211-24 v t e
Helminthoglypta_diabloensis
Camera that typically uses a mirror and prism system
hinder the focusing feature of a lens if they enter into the focusing helicoid. The problem of sensor cleaning has been somewhat reduced in DSLRs as some
Single-lens_reflex_camera
2010 digital camera model
enlarging lenses on the NEX body, with the use of an intermediate focusing helicoid behind them. Certain third-party mechanical adapters also provide circular
Sony_NEX-5
Species of gastropod
php?p=taxdetails&id=1293742 on 2021-03-09 Gude G. K. (1897). Armature of Helicoid landshells and new forms of Plectopylis. Science Gossip. 3 (34): 274–276
Chersaecia_magna
incorporated hyperbolic paraboloids, tessellations, catenary arches, catenoids, helicoids, and ruled surfaces. In the twentieth century, styles such as modern architecture
Mathematics_and_architecture
Photographic lens design
format shutters). There are also variants which can be mounted on focusing helicoids or bellows to be used with medium format or 35 mm cameras. All Imagons
Rodenstock_Imagon
Plant organelle that conducts photosynthesis
circular disks about 300–600 nanometers in diameter. Stromal thylakoids are helicoid sheets that spiral around grana. The flat tops and bottoms of granal thylakoids
Chloroplast
Mechanical method for extracting liquids
compression screws were much like the screws of a screw conveyor—that is, the helicoid flighting started at one end and ended at the other. Valerius Anderson
Expeller_pressing
Genus of flowering plants
produced on scapes. The slightly irregular shaped flowers are arranged in helicoid cymes, or produced solitarily. The scapes of some species and cultivars
Daylily
coincident image rangefinder, an excellent Ektar 44mm f3.5 lens with rear helicoid focus, automatic film stop counter with double exposure prevention, all
Kodak_Signet
Hydraulic machine
volume of water. This water is then pushed up the tube by the rotating helicoid until it pours out from the top of the tube. There are four main types
Archimedes'_screw
minimal surface Costa's minimal surface Catenoid Enneper surface Gyroid Helicoid Lidinoid Riemann's minimal surface Saddle tower Scherk surface Schwarz
List_of_mathematical_shapes
minimal surfaces fibered by circles in parallel planes besides the catenoid, helicoid and plane. They are also the only nontrivial embedded minimal surfaces
Riemann's_minimal_surface
Commonly encountered and tricky integral
the parabola and the Archimedean spiral finding the surface area of the helicoid. This antiderivative may be found by integration by parts, as follows:
Integral_of_secant_cubed
Instrument for measuring wind speed
and give satisfactory results. Vane anemometers Vane style of anemometer Helicoid propeller anemometer incorporating a wind vane for orientation Hand-held
Anemometer
Architectural and artistic movement originating in Catalonia, Spain
regulated geometric shapes as the hyperbolic paraboloid, the hyperboloid, the helicoid and the conoide. Lluís Domènech i Montaner created a genuine alternative
Modernisme
Subfamily of gastropods
Davison A., Naggs F., Mordan P. B. (2007). "Molecular phylogeny of the helicoid land snails (Pulmonata: Stylommatophora: Helicoidea), with special emphasis
Bradybaeninae
Order of fungi
and helicoid e.g. Juncigenaceae has single, brown, helicoid shaped conidia. While the conidia of Torpedosporaceae are solitary, irregularly helicoid and
Torpedosporales
Topological theorem
the Enneper surface, whose Gauss map omits one point, the catenoid and helicoid, whose Gauss maps omit two points, and Scherk's first surface, whose Gauss
Osserman–Xavier–Fujimoto theorem
Osserman–Xavier–Fujimoto_theorem
35mm lens mount
use the inside bayonet, so these lenses do not need to have a focusing helicoid built into the lens barrel. As a consequence, the 5 cm f/1.4 lens that
Nikon_S-mount
Ruled surface made of lines orthogonal to an axis
coplanar lines generate the right conoid. Other right conoids include: Helicoid: x = v cos u , y = v sin u , z = c u . {\displaystyle x=v\cos u,y=v\sin
Right_conoid
Species of gastropod
length measures 5.2 mm. The 2½ whorls of the protoconch form a depressed, helicoid spire, the axis of which is at right angles to that of the succeeding turns
Turbonilla_dina
Species of plant
(apiculate) and a ring-like thickening where the petioles join the stem. Helicoid cymes of tiny, white or cream flowers grow from the axils of the leaves
Cynanchum_ellipticum
Genus of gastropods
Zeitschrift für Malakozoologie, 10, 105–109. Gude, G. K. (1896). Armature of helicoid landshells; and a new species of Corilla. Science-Gossip, 88–92. Brot,
Corilla
Surface swept by tangents to a curve
family of lines. However, not every ruled surface is developable; the helicoid provides a counterexample. Generically, if a curve has a point of zero
Tangent_developable
Eye disease
[citation needed] Serpiginous choroiditis, also known as geographic or helicoid choroidopathy, is an uncommon chronic progressive inflammatory condition
White_dot_syndromes
Species of gastropod
The whorls of the protoconch number at least two, forming a depressed helicoid spire, whose axis is at right angles to that of the succeeding turns, in
Odostomia_communis
Species of gastropod
length measures 7.4 mm. The 2½ whorls of the protoconch are small and helicoid. Their axis is at right angles to that of the succeeding turns, in the
Turbonilla_attrita
Species of gastropod
measures 9.2 mm. The 2¼ whorls of the protoconch are small, and depressed helicoid. Their axis is at right angles to that of the succeeding turn, in the first
Turbonilla_barkleyensis
Species of horseshoe worm
1,500 tentacles, each some 2.5 millimetres long, arranged in a pair of helicoid whorls with four to seven coils. These project from the seabed and are
Phoronopsis_californica
All Latin and Greek roots beginning with H
(hélixis, héligma), (helikoeidḗs) anthelix, antihelix, helicine, helicograph, helicoid, helicopter, helicospore, helix Hell- Greece, Hellas Greek Ἑλλάς, ἑλλάδος
List of Greek and Latin roots in English/H
List_of_Greek_and_Latin_roots_in_English/H
Species of gastropod
2 mm. The 2½ smooth whorls of the protoconch form a decidedly depressed helicoid spire. Its axis is at right angles to that of the succeeding turns in the
Turbonilla_lamna
Species of gastropod
The two whorls of the protoconch are well rounded, forming a depressed helicoid spire, the axis of which is at right angles to that of the succeeding turns
Pyramidella_magdalenensis
Species of gastropod
larger species within this genus. The three whorls of the protoconch are helicoid, quite elevated, deeply immersed in the first of the succeeding whorls
Odostomia_canfieldi
Family of fungi
conidia are holoblastic (they divide into smaller cells) and are irregularly helicoid (spiral shaped), muriform (chambered), with the cells of the conidia tightly
Torpedosporaceae
Type of photographic recording lens
8/15mm range from 225 to 1,000. The M Hologon 8/15mm gained a focusing helicoid compared to the Contarex Hologon 8/15mm, and could now be focused down
Hologon
Species of gastropod
subdiaphanous to dingy white shell is small. Its length measures 5.3 mm. The 2½ helicoid whorls of the protoconch are loosely coiled, decidedly elevated, and about
Turbonilla_diegensis
Species of gastropod
on 2023-12-09 Sykes, E. R. (1897). Descriptions of some new species of helicoid and operculate land-shells from Ceylon. Proceedings of the Malacological
Zonitoides_notabilis
Protein-coding gene in the species Homo sapiens
mutation is the causative allele in Sveinsson's chorioretinal atrophy (helicoid peripapillary chorioretinal degeneration)". Human Molecular Genetics. 13
TEAD1
Distance between the nearest and the furthest objects that are in focus in an image
far object distances is the harmonic mean of the object conjugates. Most helicoid-focused lenses are marked with image plane-to-subject distances,[citation
Depth_of_field
Species of gastropod
channeled sutures. The nuclear whorls number at least 2, forming a depressed helicoid spire, which is obliquely, almost one-half immersed in the first of the
Odostomia_heterocincta
Species of gastropod
Its length is 2.9 mm. The 2½ whorls of the protoconch form a depressed helicoid spire, whose axis is at right angles to that of the succeeding turns, in
Turbonilla_andrewsi
Species of gastropod
colour is a soft, pale buff. With a total of ten whorls, including a smooth helicoid protoconch spanning a 1½ whorl, its construction is intricate. Sculpture:
Cerithiella_austrina
Species of gastropod
milk-white. It measures 3 mm. The three nuclear whorls are moderately large, helicoid. They have their axis at a right angle to the axis of the later whorls
Odostomia_amanda
Species of gastropod
source, which is in the public domain. Gude, G.K. (1901). A third report on helicoid land-shells from Japan and the Loo-Choo Islands. Vol. v.4 (1900-1901).
Aegista_carinata
Species of gastropod
bluish-white shell is long and slender. Its length measures 7.9 mm. The 2½ helicoid whorls of the protoconch are small, depressed. Their axis is at right angles
Turbonilla_carpenteri
Species of gastropod
3 mm. The two whorls of the protoconch are smooth, forming a depressed helicoid spire, whose axis is at right angles to that of the succeeding turns, in
Odostomia_paupercula
Species of gastropod
length measures 3.2 mm. The 2½ whorls of the protoconch are small and helicoid. They form a moderately elevated spire, with their axis at right angles
Turbonilla_aepynota
American inventor
only examples of such minimal surfaces where the plane, catenoid, and helicoid. Hoffman's work has been featured in articles in Science News, Scientific
James_Hoffman
Species of gastropod
measures 3.1 mm. The two whorls of the protoconch form a moderately elevated helicoid spire which is about one-half obliquely immersed in the first of the succeeding
Odostomia_telescopium
HELICOID
HELICOID
HELICOID
HELICOID
Boy/Male
Muslim
Homeland
Boy/Male
Indian, Sanskrit
An Ascetic
Boy/Male
British, English
Lives on the Noble's Island
Surname or Lastname
English and Irish
English and Irish : unexplained; most probably a habitational name from a lost or unidentified place somewhere in South Wales or southern England. This name was established in County Meath, Ireland, soon after the Anglo-Norman invasion of the 12th century.Dutch : unexplained.Probably a respelling of German Tiling, a patronymic form of Thiel.
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Mythological, Oriya, Sanskrit, Sindhi, Tamil, Telugu, Traditional
Leafy; Attractive; Good Behave
Boy/Male
Hindu
Ever smiling
Boy/Male
Arabic, Australian, Muslim
Sword
Boy/Male
Hebrew Scottish American English
Supplanter.
Boy/Male
Arabic
Leader of an Army
Male
Polish
Pet form of Polish Tadeusz, TADZIO means "courageous, large-hearted."
HELICOID
HELICOID
HELICOID
HELICOID
HELICOID
a.
Curled; spiral; helicoid; -- applied esp. to certain arteries of the penis.
n.
A warped surface which may be generated by a straight line moving in such a manner that every point of the line shall have a uniform motion in the direction of another fixed straight line, and at the same time a uniform angular motion about it.
a.
Shaped like a snail shell; pertaining to the Helicidae, or Snail family.
n.
Anything shaped or acting like a screw; esp., a form of wheel for propelling steam vessels. It is placed at the stern, and furnished with blades having helicoidal surfaces to act against the water in the manner of a screw. See Screw propeller, below.
a.
Same as Helicoid.
a.
Spiral; curved, like the spire of a univalve shell.