### Some articles on *euclidean, dimensional euclidean, dimensional*:

Banach–Tarski Paradox - Formal Treatment

... The Banach–Tarski paradox states that a ball in the ordinary

... 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)-

... 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)

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