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  2. Conical spiral - Wikipedia

    en.wikipedia.org/wiki/Conical_spiral

    Conical spiral with an archimedean spiral as floor projection Floor projection: Fermat's spiral Floor projection: logarithmic spiral Floor projection: hyperbolic spiral. In mathematics, a conical spiral, also known as a conical helix, [1] is a space curve on a right circular cone, whose floor projection is a plane spiral.

  3. Conical surface - Wikipedia

    en.wikipedia.org/wiki/Conical_surface

    Patches of conical surfaces that avoid the apex are special cases of developable surfaces, surfaces that can be unfolded to a flat plane without stretching. When the directrix has the property that the angle it subtends from the apex is exactly 2 π {\displaystyle 2\pi } , then each nappe of the conical surface, including the apex, is a ...

  4. Conical coordinates - Wikipedia

    en.wikipedia.org/wiki/Conical_coordinates

    Coordinate surfaces of the conical coordinates. The constants b and c were chosen as 1 and 2, respectively. The red sphere represents r = 2, the blue elliptic cone aligned with the vertical z-axis represents μ=cosh(1) and the yellow elliptic cone aligned with the (green) x-axis corresponds to ν 2 = 2/3.

  5. Cone - Wikipedia

    en.wikipedia.org/wiki/Cone

    A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that

  6. Hypercone - Wikipedia

    en.wikipedia.org/wiki/Hypercone

    This volume is given by the formula ⁠ 1 / 3 ⁠ π r 4, and is the 4-dimensional equivalent of the solid cone. The ball may be thought of as the 'lid' at the base of the 4-dimensional cone's nappe, and the origin becomes its 'apex'. This shape may be projected into 3-dimensional space in various ways.

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    mail.aol.com

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  8. Developable surface - Wikipedia

    en.wikipedia.org/wiki/Developable_surface

    The oloid and the sphericon are members of a special family of solids that develop their entire surface when rolling down a flat plane. Planes (trivially); which may be viewed as a cylinder whose cross-section is a line; Tangent developable surfaces; which are constructed by extending the tangent lines of a spatial curve.

  9. Frustum - Wikipedia

    en.wikipedia.org/wiki/Frustum

    A frustum's axis is that of the original cone or pyramid. A frustum is circular if it has circular bases; it is right if the axis is perpendicular to both bases, and oblique otherwise. The height of a frustum is the perpendicular distance between the planes of the two bases.