enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Reflection symmetry - Wikipedia

    en.wikipedia.org/wiki/Reflection_symmetry

    In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2-dimensional space, there is a line/axis of symmetry, in 3-dimensional space, there is a plane of symmetry

  3. Symmetry (geometry) - Wikipedia

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

    A drawing of a butterfly with bilateral symmetry, with left and right sides as mirror images of each other.. In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object onto itself (i.e., the object has an invariance under the transform). [1]

  4. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    The role of symmetry in grouping and figure/ground organization has been confirmed in many studies. For instance, detection of reflectional symmetry is faster when this is a property of a single object. [29] Studies of human perception and psychophysics have shown that detection of symmetry is fast, efficient and robust to perturbations.

  5. Point groups in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_two_dimensions

    The Bauhinia blakeana flower on the Hong Kong flag has C 5 symmetry; the star on each petal has D 5 symmetry. In geometry, a two-dimensional point group or rosette group is a group of geometric symmetries that keep at least one point fixed in a plane. Every such group is a subgroup of the orthogonal group O(2), including O(2) itself. Its ...

  6. Mirror image - Wikipedia

    en.wikipedia.org/wiki/Mirror_image

    In geometry, the mirror image of an object or two-dimensional figure is the virtual image formed by reflection in a plane mirror; it is of the same size as the original object, yet different, unless the object or figure has reflection symmetry (also known as a P-symmetry).

  7. Wallpaper group - Wikipedia

    en.wikipedia.org/wiki/Wallpaper_group

    This has the effect of reflecting the plane in the line L, called the reflection axis or the associated mirror. Glide reflections, denoted by G L,d, where L is a line in R 2 and d is a distance. This is a combination of a reflection in the line L and a translation along L by a distance d.

  8. Symmetry operation - Wikipedia

    en.wikipedia.org/wiki/Symmetry_operation

    In mathematics, a symmetry operation is a geometric transformation of an object that leaves the object looking the same after it has been carried out. For example, a 1 ⁄ 3 turn rotation of a regular triangle about its center, a reflection of a square across its diagonal, a translation of the Euclidean plane, or a point reflection of a sphere through its center are all symmetry operations.

  9. 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.