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  2. Helicoid - Wikipedia

    en.wikipedia.org/wiki/Helicoid

    A helicoid with α = 1, −1 ≤ ρ ≤ 1 and − π ≤ θ ≤ π. 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.

  3. Ruled surface - Wikipedia

    en.wikipedia.org/wiki/Ruled_surface

    Ruled surface generated by two Bézier curves as directrices (red, green). A surface in 3-dimensional Euclidean space is called a ruled surface if it is the union of a differentiable one-parameter family of lines.

  4. Translation surface (differential geometry) - Wikipedia

    en.wikipedia.org/wiki/Translation_surface...

    Helicoid as translation surface with identical generatrices , Helicoid as translation surface: any parametric curve is a shifted copy of the purple helix. A helicoid is a special case of a generalized helicoid and a ruled surface. It is an example of a minimal surface and can be represented as a translation surface. The helicoid with the ...

  5. Generalized helicoid - Wikipedia

    en.wikipedia.org/wiki/Generalized_helicoid

    generalized helicoid: meridian is a parabola. In geometry, 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. Any point of the given curve is the starting point of a circular helix.

  6. Helix - Wikipedia

    en.wikipedia.org/wiki/Helix

    The pitch of a helix is the height of one complete helix turn, measured parallel to the axis of the helix.. A double helix consists of two (typically congruent) helices with the same axis, differing by a translation along the axis.

  7. Isotropic helicoid - Wikipedia

    en.wikipedia.org/wiki/Isotropic_helicoid

    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 and drag are the same for all orientations of the particle.

  8. Cat 'parrots' owner in 'too cute' video: 'Why is your cat ...

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  9. Sentence diagram - Wikipedia

    en.wikipedia.org/wiki/Sentence_diagram

    A sentence diagram is a pictorial representation of the grammatical structure of a sentence. The term "sentence diagram" is used more when teaching written language, where sentences are diagrammed. The model shows the relations between words and the nature of sentence structure and can be used as a tool to help recognize which potential ...