geometry, a glide reflection or transflection is a geometric transformation that consists of a reflection across a hyperplane and a translation ("glide") in...

Another transformation is a glide reflection, a combination of reflection and translation parallel to the line of reflection. Mathematically, a wallpaper...

as length. There are four types: translations, rotations, reflections, and glide reflections (see below § Classification). The set of Euclidean plane isometries...

2\theta \,),(x\sin 2\theta -y\cos 2\theta \,)).} A glide reflection is the composition of a reflection across a line followed by a translation in the direction...

unchanged. In 2D, a glide reflection symmetry (also called a glide plane symmetry in 3D, and a transflection in general) means that a reflection in a line or...

groups with horizontal line reflection, glide reflection, or 180° rotation (groups 3–7), the position of the reflection axis or rotation point in the...

Look up glide in Wiktionary, the free dictionary. Glide may refer to: Gliding flight, to fly without thrust Glide API, a 3D graphics interface Glide OS, a...

to the plane, or a reflection with respect to a perpendicular plane glide reflection with respect to a plane, and a translation in that plane inversion...

bilaterally symmetric across the midline, or are offset from each other via glide reflection, or possibly both. Since the description of Dickinsonia costata in...

reflection through a line (or plane) translation by a vector rotation of finite order around a point infinite rotation around a line in 3-space glide-reflection...

pattern repeats its configuration with a glide reflection symmetry. After four steps and two glide reflections, it returns to its original orientation...

from a simple motif like a line segment by repeated application of a glide reflection. Although the origin of the word is unclear, its first printed appearances...

lack of known segmented legs or limbs, coupled with the presence of glide reflection instead of symmetric segments, suggests that an arthropod classification...

of glide-reflection), and is one of only 13 nonstandard surfaces. Again, this can be understood as the quotient of the hyperbolic plane by a glide reflection...

operations, that is, by turning screw rotations into rotations, glide reflections into reflections and moving all symmetry elements into the origin. Each crystallographic...

represents a frondose rangeomorph, and its overall body plan shows glide reflection symmetry, which is typical of the clade. It is one of two described...

that some chordates do show glide reflection during developmental stages, like hemichordates, which show a glide reflection in their gill apparatus during...

emphasize that it includes orientation-reversing isometries (reflections, glide reflections and improper rotations), as long as those isometries map this...

the symmetry observed is not exactly bilaterian but appears to be a glide reflection, where opposite segments are shifted by half an interval. The genus...

to the right and left from a zig-zag medial suture (thus exhibiting glide reflection, or opposite isometry). The genus Charnia was named after Charnwood...

translation or a rotation. Any opposite isometry is either a reflection or a glide reflection. Coxeter 1969, p. 29 Coxeter 1969, p. 39 Beckman, F.S.; Quarles...

chiral shape. Indirect, or improper motions are motions like reflections, glide reflections and Improper rotations that invert the orientation of a chiral...

symmetry. Its symmetry group is a frieze group generated by a single glide reflection. In three dimensions, every figure that possesses a mirror plane of...

possesses deep, hook-shaped depressions that are arranged accordingly to glide reflection of bilateral symmetry. The 'shell' of Armillifera possess a lack of...

are indeed annual in nature.[citation needed] Some sea pens exhibit glide reflection symmetry, rare among extant animals. Sea pens are sometimes sold in...

group, given a reflection r, every rigid transformation that is not a rigid motion is the product of r and a rigid motion. A glide reflection is an example...

include glide reflection symmetry (a reflection followed by a translation) and rotoreflection symmetry (a combination of a rotation and a reflection). A dyadic...

contrast, a translation moves every point, a reflection exchanges left- and right-handed ordering, a glide reflection does both, and an improper rotation combines...

each reflection in the group: since isometries are in the same coset regardless of translational components, a reflection and a glide reflection with...

which case it is necessarily either a reflection in a line or a glide-reflection (the product of three reflections in a line and two perpendiculars to it)...