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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
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
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
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
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
Medical condition
Serpiginous choroiditis, also known as geographic helicoid peripapillary choroidopathy (GHPC), is a rare, chronic, progressive, and recurrent bilateral
Serpiginous_choroiditis
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 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
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 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
minimal surface Costa's minimal surface Catenoid Enneper surface Gyroid Helicoid Lidinoid Riemann's minimal surface Saddle tower Scherk surface Schwarz
List_of_surfaces
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 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
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
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
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
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
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
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
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
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
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
Family of snails
of typical top shells. The shape may also be subglobose, turbinate or helicoid. Their height may vary between 3 mm and 152 mm. The shell contains only
Trochidae
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
Species of single-celled organism
in the Chengjiang lagerstätte. The filaments, preserved in clustered, helicoid groups, are thread-like, plain, and branchless. With their brown and smooth
Fuxianospira_gyrata
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
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
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
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
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
SLR camera
Pentax Helicoid Extension Tube Pentax (Auto) Extension 1, 2, & 3 Pentax Extension (outer) A, B
Pentax_6×7
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
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
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
Eye disease
[citation needed] Serpiginous choroiditis, also known as geographic or helicoid choroidopathy, is an uncommon chronic progressive inflammatory condition
White_dot_syndromes
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
Japanese camera manufacturer
uses small, internal bayonet and in-body helicoid focus Large = Lens uses large, external bayonet and helicoid focus in lens; requires removal of focusing
Bronica
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
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
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
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
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
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
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
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
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
Species of fungus
morphology to Helicodendron due to occupying an aero-aquatic niche, where the helicoid spores trap an air pocket that enables flotation of spores in aquatic environments
Tyrannosorus_pinicola
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
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
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
Order of gastropods
Baker, 1925 Haplotrematidae H. B. Baker, 1925 infraorder Helicoidei ["Helicoid Clade"] superfamily Sagdoidea Pilsbry, 1895 Sagdidae Pilsbry, 1895 Solaropsidae
Stylommatophora
(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–O
List_of_Greek_and_Latin_roots_in_English/H–O
Species of gastropod
milk white. Its length measures 3 mm. The 2½ whorls of the protoconch are helicoid but slightly elevated and well rounded. Their axis is at right angles to
Turbonilla_muricatoides
Species of gastropod
measures 2.5 mm. The 11⁄2 whorls of the protoconch form a moderately elevated helicoid spire, whose axis is at right angles to that of the succeeding turns, in
Odostomia_tropidita
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
the crystallisation of molten lava. Jean Baptiste Meusnier discovers the helicoid and announces Meusnier's theorem. November 30 – Sir John Pringle presents
1776_in_science
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
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
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
Species of gastropod
The shell contains 7 whorls. The protoconch consists of two small smooth helicoid whorls. Sculpture:—The first adult whorl shows numerous small radial riblets
Pseudorhaphitoma_transitans
Species of gastropod
shining. The whorls in the protoconch are smooth, well rounded and form a helicoid spire. The postnuclear whorls are marked by feebly developed, decidedly
Zebinella_zeltneri
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
SLR cameras from Rolleiflex
PQS series add a faster 1⁄1000 sec speed. Since lenses are focused by helicoid extension, the traditional focusing knob on the left side of Rolleiflex
Rolleiflex_6000_System
Japanese brand of optical lenses
"Zuiko Auto") altogether. Notes Equipped with OM mount, but no focusing helicoid; requires bellows or 65-116 mm extension tube. Early versions had a manual
Zuiko
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
incorporated hyperbolic paraboloids, tessellations, catenary arches, catenoids, helicoids, and ruled surfaces. In the twentieth century, styles such as modern architecture
Mathematics_and_architecture
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
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
Species of gastropod
Distribution of Corilla fryae includes Sri Lanka. Gude G. K. (1896). "Armature of helicoid landshells". Science-Gossip 29(23): 88-92, 126-128, 154-156, 178-181, 204-207
Corilla_fryae
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
Species of gastropod
The2+1⁄2 nuclear whorls are quite large, forming a moderately elevated, helicoid spire, whose axis is at right angles to that of the succeeding turns, in
Besla_excolpa
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
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
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
frame Hypersurface Induced metric Nash embedding theorem minimal surface Helicoid Catenoid Costa's minimal surface Hsiang–Lawson's conjecture Theorema Egregium
List of differential geometry topics
List_of_differential_geometry_topics
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
Imitation of biological systems for the solving of human problems
replicates obtained from the self-assembly of cellulose nanocrystals into helicoids, which only reflect left-handed circularly polarised light. The fruit
Biomimetics
Species of gastropod
1896. Distribution of Corilla erronea includes Sri Lanka. Gude G. K. (1896). "Armature of helicoid landshells". Science-Gossip 29(23): 126-128. v t e
Corilla_erronea
HELICOID
HELICOID
HELICOID
HELICOID
Boy/Male
Indian
Ready
Biblical
howling; doing evil
Girl/Female
Hindu, Indian, Sanskrit
Queen
Boy/Male
Arabic, Muslim
Best; Immaculate
Boy/Male
Arabic, Muslim
Wholesome with Innocence
Boy/Male
Indian
Sedate, Grave, Sober minded, Composed, Subtle
Girl/Female
Hindu, Indian
Clever
Boy/Male
Tamil
Sevak of Lord Siva
Girl/Female
Afghan, Arabic, Bengali, Celebrity, Gujarati, Hindu, Indian, Muslim, Pashtun, Sindhi, Tamil, Telugu
Flower; Narcissus
Boy/Male
Biblical
Testimony of the assembly.
HELICOID
HELICOID
HELICOID
HELICOID
HELICOID
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.
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.