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Higher-dimensional analogue of a sphereIn mathematics, a 3-sphere, glome or hypersphere is a higher-dimensional analogue of a sphere. It may be embedded in 4-dimensional Euclidean space as the set of points equidistant from a fixed central point.graphsearch.epfl.ch/concept/39792- See moreSee all on Wikipedia
3-sphere - Wikipedia
In mathematics, a hypersphere or 3-sphere is a 4-dimensional analogue of a sphere, and is the 3-dimensional n-sphere. In 4-dimensional Euclidean space, it is the set of points equidistant from a fixed central point. The interior of a 3-sphere is a 4-ball. It is called a 3-sphere because topologically, the surface itself is 3 … See more
In coordinates, a 3-sphere with center (C0, C1, C2, C3) and radius r is the set of all points (x0, x1, x2, x3) in real, 4-dimensional space (R ) such that
The 3-sphere … See moreThere are several well-known constructions of the three-sphere. Here we describe gluing a pair of three-balls and then the one-point … See more
The four Euclidean coordinates for S are redundant since they are subject to the condition that x0 + x1 + x2 + x3 = 1. As a 3-dimensional manifold one should be able to parameterize … See more
Elementary properties
The 3-dimensional surface volume of a 3-sphere of radius r is
$${\displaystyle SV=2\pi ^{2}r^{3}\,}$$
while the 4 … See moreWhen considered as the set of unit quaternions, S inherits an important structure, namely that of quaternionic multiplication. … See more
In Edwin Abbott Abbott's Flatland, published in 1884, and in Sphereland, a 1965 sequel to Flatland by Dionys Burger, the 3-sphere is referred to as an oversphere, and a 4 … See more
Wikipedia text under CC-BY-SA license Glome - Hi.gher. Space
The glome, also known as the 3-sphere, is the 4-dimensional equivalent of a 3D sphere. It consists of a curved 3-manifold that forms circular intersections with planes, and spherical intersections with hyperplanes.
3D Interactive Globe
Glome | Verse and Dimensions Wikia | Fandom
- A glome is a 3-dimensional surface produced by finding the set of all points that are an equal distance from another point in 4-dimensional space. Do to it being curved, it is often represented embedded in 4-dimensional space. A glome is the shape of the exterior of a gongol. It is the 3-dimensional hypersphere.
Glome - Polytope Wiki
A glome, also known as a 3-sphere, is the set of all points in 4D space that are a certain distance away from a given point. This distance is known as the radius. While a glome can be thought …
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3-sphere - MATHCURVE.COM
The (tridimensional) hypersphere with center O and radius R is the locus of the points of the 4-dimensional space located at distance R from O. It is a 3-dimensional manifold homeomorphic to the Alexandroff compactification of the …
Fourth Dimension Glossary
A one dimensional hyperplane is a line, two-dimensional is a plane, three dimensional is a realm, and four-dimensional is a flune. A hyperplane of n dimensions intersects a plane of n+1 …
3-sphere - Academic Kids
In mathematics, a 3-sphere is a higher-dimensional analogue of a sphere. A regular sphere, or 2-sphere, consists of all points equidistant from a single point in ordinary 3-dimensional …
GLOME meaning: Four-dimensional analog of sphere - OneLook
noun: (geometry) A hypersphere in 4-dimensional Euclidean space defined as the set of all points that are at a given distance from a given point, also called a 3-sphere. verb: (obsolete) To look …
Glome | Find The Planets Wiki | Fandom
Glome (Fictional) A planet made up of 3 dimensional planets in the 4th dimension
Glome - All dimensions Wiki
The glome is the 4D sphere. vertex count = edge length = surface area = surcell volume = surteron bulk = Glome (3D) Notes on the subfacets of hyperspheres can be found on the circle and sphere pages.
glome - Wiktionary, the free dictionary
Dec 24, 2024 · (anatomy) One of the two prominences at the posterior extremity of the frog of a horse 's foot. (botany) A globular head of flowers. (geometry) A hypersphere in 4-dimensional …
Glome Wiki: Visualization - ludism.org
Again, begin with the simplest figure: a 4D hypersphere (a.k.a. glome). Somewhat unintuitively to non-mathematicians, this is also termed a 3-sphere, because any point on its "surface" can be …
The Hyperspherical Lensing of a Glome in Azimuthal Projection.
Apr 18, 2019 · Explanation: Glomes (3-spheres or 4-balls) have an unobservable 4 th dimensional radius of curvature.
3-sphere | EPFL Graph Search
In mathematics, a 3-sphere, glome or hypersphere is a higher-dimensional analogue of a sphere. It may be embedded in 4-dimensional Euclidean space as the set of points equidistant from a …
glome - English definition, grammar, pronunciation, synonyms …
In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere. The methodology developed to prove that, besides glomes, any three-manifold has an infinite …
Instead of living on a 2-sphere (the 2-surface of a normal (3D) ball), we now pretend to be on/in a 3-sphere, a glome, which is the 3-surface of a 4-dimensional hypersphere.
SC: Glome - Strolen's Citadel
A glome, what you younglings like to call a hypersphere, is a 4-D sphere existing within normal Euclidean space. As you all know, this is an unnatural configuration. The majority of glomes …
Glome -- from Wolfram MathWorld
Mar 5, 2020 · A glome is a 4-sphere (in the geometer's sense of the word) x^2+y^2+z^2+w^2=r^2 (as opposed to the usual 3-sphere). The term derives from the Latin "glomus" meaning "ball of …
3D Interactive Earth Globes - eChalk
15 stunning 3D visualisations of Earth. Geographic, demographic and economic views include tectonic boundaries, climate zones, average temperature and precipitation, political maps, …
Revolutionary van der Waals open frameworks: | EurekAlert!
1 day ago · Researchers from Kyoto University have achieved a groundbreaking advancement in materials science by developing the world's first three-dimensional van der Waals open …
Three-dimensional flexible thermoelectric fabrics for smart
5 days ago · Here, we report a three-dimensional flexible thermoelectric device with a structure featuring an inner rigid and outer flexible woven design.
Dynamics of disordered quantum systems with two- and three …
Mar 7, 2025 · In this work we show how two- and three-dimensional tensor networks can accurately and efficiently simulate the quantum annealing dynamics of Ising spin glasses on a …
Polarity-Dependent Driving Scheme for Suppressing Oil Film
5 days ago · Electrowetting displays (EWDs) face challenges such as oil film splitting and luminance fluctuations, hindering stable display performance. This study employed a high …
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