Dimensional Euclidean

Some articles on euclidean, dimensional euclidean, dimensional:

Banach–Tarski Paradox - Formal Treatment
... The Banach–Tarski paradox states that a ball in the ordinary Euclidean space can be doubled using only the operations of partitioning into subsets, replacing a set with a congruent set, and reassembly ... structure is greatly elucidated by emphasizing the role played by the group of Euclidean motions and introducing the notions of equidecomposable sets and paradoxical set ... In the most important special case, X is an n-dimensional Euclidean space, and G consists of all isometries of X, i.e ...
Hypersphere - Description
... n-sphere of radius r is defined as the set of points in (n + 1)-dimensional Euclidean space that are at distance r from some fixed point c, where r may be any ... a 2-sphere is an ordinary 2-dimensional sphere in 3-dimensional Euclidean space, and is the boundary of an ordinary ball (3-ball) ... a 3-sphere is a sphere in 4-dimensional Euclidean space ...

Famous quotes containing the word dimensional:

    I don’t see black people as victims even though we are exploited. Victims are flat, one- dimensional characters, someone rolled over by a steamroller so you have a cardboard person. We are far more resilient and more rounded than that. I will go on showing there’s more to us than our being victimized. Victims are dead.
    Kristin Hunter (b. 1931)