Euclidean group

In mathematics Mathematics

Mathematics is the discipline that deals with concepts such as quantity [i], structure [i], space [i] a ... 

, the Euclidean group E, sometimes called ISO or similar, is the symmetry group Symmetry group

The symmetry [i] group of an object is the group [i] of all isometries [i] under which it is invariant [i] ... 

 of n-dimensional Euclidean space. Its elements, the isometries associated with the Euclidean metric, are called Euclidean moves. E+ is the subgroup of direct isometries, i.e., isometries preserving orientation, also called rigid motions; they are the rigid body moves.

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Encyclopedia

In mathematics Mathematics

Mathematics is the discipline that deals with concepts such as quantity [i], structure [i], space [i] a ... 

, the Euclidean group E, sometimes called ISO or similar, is the symmetry group Symmetry group

The symmetry [i] group of an object is the group [i] of all isometries [i] under which it is invariant [i] ... 

 of n-dimensional Euclidean space. Its elements, the isometries associated with the Euclidean metric, are called Euclidean moves.
E+ is the subgroup of direct isometries, i.e., isometries preserving orientation, also called rigid motions; they are the rigid body moves.
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