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  2. Glide reflection - Wikipedia

    en.wikipedia.org/wiki/Glide_reflection

    A glide reflection is the composition of a reflection across a line and a translation parallel to the line. This footprint trail has glide-reflection symmetry. Applying the glide reflection maps each left footprint into a right footprint and vice versa.

  3. Point groups in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_two_dimensions

    For each of the types D 1, D 2, and D 4 the distinction between the 3, 4, and 2 wallpaper groups, respectively, is determined by the translation vector associated with each reflection in the group: since isometries are in the same coset regardless of translational components, a reflection and a glide reflection with the same mirror are in the ...

  4. Frieze group - Wikipedia

    en.wikipedia.org/wiki/Frieze_group

    p2mm: TRHVG (translation, 180° rotation, horizontal line reflection, vertical line reflection, and glide reflection) Formally, a frieze group is a class of infinite discrete symmetry groups of patterns on a strip (infinitely wide rectangle), hence a class of groups of isometries of the plane, or of a strip.

  5. Euclidean plane isometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_plane_isometry

    Glide reflection. Glide reflections, denoted by G c,v,w, where c is a point in the plane, v is a unit vector in R 2, and w is non-null a vector perpendicular to v are a combination of a reflection in the line described by c and v, followed by a translation along w. That is, ,, =,, or in other words,

  6. Wallpaper group - Wikipedia

    en.wikipedia.org/wiki/Wallpaper_group

    In the 5 cases of reflection or glide reflection, but not both, the cell is a rectangle (rectangular lattice, itself pmm). It may also be interpreted as a centered rhombic lattice. Special cases: square. In the 2 cases of reflection combined with glide reflection, the cell is a rhombus (rhombic lattice, itself cmm). It may also be interpreted ...

  7. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    Symmetry can be found in various forms in literature, a simple example being the palindrome where a brief text reads the same forwards or backwards. Stories may have a symmetrical structure, such as the rise and fall pattern of Beowulf .

  8. Motion (geometry) - Wikipedia

    en.wikipedia.org/wiki/Motion_(geometry)

    A glide reflection is a type of Euclidean motion.. In geometry, a motion is an isometry of a metric space.For instance, a plane equipped with the Euclidean distance metric is a metric space in which a mapping associating congruent figures is a motion. [1]

  9. Wikipedia:Manual of Style - Wikipedia

    en.wikipedia.org/wiki/Wikipedia:Manual_of_style

    The report stated "There was a 45% reduction in transmission rate." (Cf. the non-quotation The report stated there was a 45% reduction in transmission rate.) The report stated, "There was a 45% reduction in transmission rate." The comma-free approach is often used with partial quotations: The report observed "a 45% reduction in transmission rate".