What does hypercone mean?

Definitions for hypercone
hy·per·cone

This dictionary definitions page includes all the possible meanings, example usage and translations of the word hypercone.


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Wiktionary

  1. hyperconenoun

    A four-dimensional surface related to the three-dimensional cone

Wikipedia

  1. Hypercone

    In geometry, a hypercone (or spherical cone) is the figure in the 4-dimensional Euclidean space represented by the equation x 2 + y 2 + z 2 − w 2 = 0. {\displaystyle x^{2}+y^{2}+z^{2}-w^{2}=0.} It is a quadric surface, and is one of the possible 3-manifolds which are 4-dimensional equivalents of the conical surface in 3 dimensions. It is also named "spherical cone" because its intersections with hyperplanes perpendicular to the w-axis are spheres. A four-dimensional right hypercone can be thought of as a sphere which expands with time, starting its expansion from a single point source, such that the center of the expanding sphere remains fixed. An oblique hypercone would be a sphere which expands with time, again starting its expansion from a point source, but such that the center of the expanding sphere moves with a uniform velocity.

Wikidata

  1. Hypercone

    In geometry, a hypercone is the figure in the 4-dimensional Euclidean space represented by the equation It is a quadric surface, and is one of the possible 3-manifolds which are 4-dimensional equivalents of the conical surface in 3 dimensions. It is also named spherical cone because its intersections with hyperplanes perpendicular to the w-axis are spheres. A four-dimensional right spherical hypercone can be thought of as a sphere which expands with time, starting its expansion from a single point source, such that the center of the expanding sphere remains fixed. An oblique spherical hypercone would be a sphere which expands with time, again starting its expansion from a point source, but such that the center of the expanding sphere moves with a uniform velocity.

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Numerology

  1. Chaldean Numerology

    The numerical value of hypercone in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of hypercone in Pythagorean Numerology is: 1

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"hypercone." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/hypercone>.

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