Euclidean group

GPTKB entity

Statements (34)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:actsOn gptkb:Euclidean_space
gptkbp:alsoKnownAs group of isometries of Euclidean space
gptkbp:dimensions depends on dimension of Euclidean space
gptkbp:hasApplication computer vision
mechanics
robotics
gptkbp:hasSubgroup gptkb:affine_group
gptkb:general_linear_group
orthogonal group
translation group
https://www.w3.org/2000/01/rdf-schema#label Euclidean group
gptkbp:identityElement identity transformation
gptkbp:includes reflections
translations
glide reflections
rotations
gptkbp:isMatrixGroup true
gptkbp:isSemidirectProductOf orthogonal group
translation group
gptkbp:notation gptkb:ISO(n)
E(n)
gptkbp:order infinite
gptkbp:preserves Euclidean distance
gptkbp:relatedTo gptkb:Galilean_group
gptkb:Poincaré_group
gptkbp:studiedIn gptkb:geometry
crystallography
physics
gptkbp:bfsParent gptkb:Euclid
gptkb:Euclidean_space
gptkb:Weyl_group
gptkb:finite-dimensional_Euclidean_space
gptkbp:bfsLayer 5