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helicoid
EntityQ1072483· pop 28· linked from 101 articles

right|thumb|350px|A helicoid with α = 1, −1 ≤ ρ ≤ 1 and − ≤ θ ≤ .

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Encyclopedic overview

5 sections
Contents
  • 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.

Excerpted from Wikipedia’s “helicoid” article, available under the CC BY-SA 4.0 licence.

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