helicoid
Sign in to saveright|thumb|350px|A helicoid with α = 1, −1 ≤ ρ ≤ 1 and − ≤ θ ≤ .
Wikidata facts
- Image
- Helicoid.PNG
Show 1 more fact
- Commons category
- Helicoids
Sources (3)
via Wikidata · CC0
~3 min read
Article
5 sectionsContents
- Description
- Helicoid and catenoid
- See also
- Notes
- External links
right|thumb|350px|A helicoid with α = 1, −1 ≤ ρ ≤ 1 and − ≤ θ ≤ .
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.
Gallery (4)
Connections
Leonhard Euler
Entity
International Standard Book Number
Entity
infinity
Entity
point
Entity
plane
Entity
three-dimensional space
Entity
Cartesian coordinate system
Entity
continuous function
Entity
Archimedes' screw
Entity
homeomorphism
Entity
helix
Entity
Anatoly Fomenko
Entity
sign
Entity
MathWorld
Entity
Eugène Charles Catalan
Entity
nomenclature
Entity
parametric equation
Entity
rotation around a fixed axis
Entity
Eric W. Weisstein
Entity
ruled surface
Entity