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# 3-sphere

3-sphere is a tautogram (all words start with the same letter). View more tautograms!

## Explanation

3-sphere: In mathematics, a 3-sphere is a higher-dimensional analogue of a sphere. It consists of the set of points equidistant from a fixed central point in 4-dimensional Euclidean space. Just as an ordinary sphere is a two-dimensional surface that forms the boundary of a ball in three dimensions, a 3-sphere is an object with three dimensions that forms the boundary of a ball in four dimensions. A 3-sphere is an example of a 3-manifold.

• also known as Glome

## Printed dictionaries and other books with definitions for 3-sphere

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### A Critique of Pure Physics (2009)

by Thomas Neil Neubert

Wikipedia explains as follows: A 3-sphere is a higher-dimensional analogue to a sphere . . . An ordinary sphere (or 2-sphere) is a two dimensional surface while a 3-sphere is an object with three dimensions.14 Likewise the macroscopic 3D ...

### Invariants of Homology 3-Spheres (2002)

by Nikolai Saveliev

Conversely, a rational plumbed homology 3-sphere is a link of singularity if ...

### The Princeton Companion to Mathematics (2010)

by Timothy Gowers, June Barrow-Green, Imre Leader

Similarly, the 3-sphere is a 3-manifold. The formal definition of a manifold uses the ...

### Disproof of Bell's Theorem (2014)

Illuminating the Illusion of Entanglement, Second Edition by Joy Christian

Proof: A 3-sphere is a set of points equidistant from a fixed point in IR4. Thus it is a boundary of a 4-ball in four dimensions. And as such, it is not the easiest space for us to visualize (although it is not impossible to do so [23]). Therefore, let us ...

### Encyclopedia of Cosmology (Routledge Revivals) (2014)

Historical, Philosophical, and Scientific Foundations of Modern Cosmology by Norriss S. Hetherington

®3-sphere. ̄. Peterson suggests that the proportion between speed and size in the planetary and the angelic spheres constitutes a ...

### The Routledge Critical Dictionary of the New Cosmology (1999)

by Peter Coles

respectively to the hyper- sphere (3-sphere), Euclidean three- dimensional space and a space of constant negative curvature (see curvature of spacetime). The geometrical properties of Euclidean space (k = 0) are well known.

## Online dictionaries and encyclopedias with entries for 3-sphere

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