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  2. Template:Frieze group notations - Wikipedia

    en.wikipedia.org/wiki/Template:Frieze_group...

    The translations here arise from the glide reflections, so this group is generated by a glide reflection and either a rotation or a vertical reflection. p11m [∞ +,2] C ∞h Z ∞ ×Dih 1 ∞* jump (THG) Translations, Horizontal reflections, Glide reflections: This group is generated by a translation and the reflection in the horizontal axis.

  3. Euclidean plane isometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_plane_isometry

    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,

  4. 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.

  5. Rotations and reflections in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotations_and_reflections...

    The set of all reflections in lines through the origin and rotations about the origin, together with the operation of composition of reflections and rotations, forms a group. The group has an identity: Rot(0). Every rotation Rot(φ) has an inverse Rot(−φ). Every reflection Ref(θ) is its own inverse. Composition has closure and is ...

  6. Inversive geometry - Wikipedia

    en.wikipedia.org/wiki/Inversive_geometry

    Any combination of reflections, translations, and rotations is called an isometry. Any combination of reflections, dilations, translations, and rotations is a similarity. All of these are conformal maps, and in fact, where the space has three or more dimensions, the mappings generated by inversion are the only conformal mappings.

  7. Transformation (function) - Wikipedia

    en.wikipedia.org/wiki/Transformation_(function)

    A composition of four mappings coded in SVG, which transforms a rectangular repetitive pattern into a rhombic pattern. The four transformations are linear.. In mathematics, a transformation, transform, or self-map [1] is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X.

  8. Reflection (physics) - Wikipedia

    en.wikipedia.org/wiki/Reflection_(physics)

    Reflection of light is either specular (mirror-like) or diffuse (retaining the energy, but losing the image) depending on the nature of the interface.In specular reflection the phase of the reflected waves depends on the choice of the origin of coordinates, but the relative phase between s and p (TE and TM) polarizations is fixed by the properties of the media and of the interface between them.

  9. Reflective writing - Wikipedia

    en.wikipedia.org/wiki/Reflective_writing

    Reflective writing assignments are often weighted low in a course's grade calculations, and among a crowded workload, students can see them as an afterthought. It has also been argued that reflective writing assignments are only assigned as " busy work ", as they are low maintenance and relatively easy to grade. [ 7 ]

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