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- Line_group abstract "A line group is a mathematical way of describing symmetries associated with moving along a line. These symmetries include repeating along that line, making that line a one-dimensional lattice. However, line groups may have more than one dimension, and they may involve those dimensions in its isometries or symmetry transformations.One constructs a line group by taking a point group in the full dimensions of the space, and then adding translations or offsets along the line to each of the point group's elements, in the fashion of constructing a space group. These offsets include the repeats, and a fraction of the repeat, one fraction for each element. For convenience, the fractions are scaled to the size of the repeat; they are thus within the line's unit cell segment.".
- Line_group thumbnail Frieze_group_11.png?width=300.
- Line_group wikiPageID "32186226".
- Line_group wikiPageRevisionID "587701284".
- Line_group hasPhotoCollection Line_group.
- Line_group subject Category:Discrete_groups.
- Line_group subject Category:Euclidean_symmetries.
- Line_group type Abstraction100002137.
- Line_group type Attribute100024264.
- Line_group type DiscreteGroups.
- Line_group type EuclideanSymmetries.
- Line_group type Group100031264.
- Line_group type Property104916342.
- Line_group type SpatialProperty105062748.
- Line_group type Symmetry105064827.
- Line_group comment "A line group is a mathematical way of describing symmetries associated with moving along a line. These symmetries include repeating along that line, making that line a one-dimensional lattice.".
- Line_group label "Line group".
- Line_group sameAs m.0gy1gx2.
- Line_group sameAs Q6553254.
- Line_group sameAs Q6553254.
- Line_group sameAs Line_group.
- Line_group wasDerivedFrom Line_group?oldid=587701284.
- Line_group depiction Frieze_group_11.png.
- Line_group isPrimaryTopicOf Line_group.
