n-sphere - Wikipedia
In mathematics, an n-sphere or hypersphere is an - dimensional generalization of the -dimensional circle and -dimensional sphere to any non-negative integer .
Hypersphere -- from Wolfram MathWorld
Dec 3, 2025 · The n-hypersphere (often simply called the n-sphere) is a generalization of the circle (called by geometers the 2-sphere) and usual sphere (called by geometers the 3-sphere) to …
The HyperSphere - Massachusetts Institute of Technology
The mathematical objects that live on the sphere in four dimensional space -- the hypersphere -- are both beautiful and interesting. The four dimensional sphere is a unique object, with properties both …
The hypersphere in four dimensions | plus.maths.org
May 6, 2025 · The image below is a description of a hypersphere, a shape which curves around in four-dimensional space in a way we can't directly visualise. So what is a hypersphere and what does the …
Shapes of Space: The Hypersphere - Brown University
A hypersphere is the four-dimensional analog of a sphere. Although a sphere exists in 3-space, its surface is two-dimensional. Similarly, a hypersphere has a three-dimensional surface which curves …
The Hypersphere-Understanding Dimensions Beyond Three
May 25, 2023 · A hypersphere is a remarkable geometric shape defined as a higher-dimensional analogue of a sphere. It specifically refers to the collection of points in an n-dimensional Euclidean …
37 Facts About Hypersphere
Mar 18, 2025 · A hypersphere, also known as a 3-sphere, is a higher-dimensional analogue of a regular sphere. While a regular sphere exists in three-dimensional space, a hypersphere exists in four …