# 3-sphere

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

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## 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

*.14 Likewise the macroscopic 3D ...*

**a 3-sphere**is an object with three dimensions### 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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## Quotes about 3-sphere

Repentance may begin instantly, but reformation often requires a sphere of years. (Henry Ward Beecher)*more quotes about 3-sphere...*

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