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Geometric symmetry operation
geometry, a point reflection (also called a point inversion or central inversion) is a geometric transformation of affine space in which every point is reflected
Point_reflection
Geometrical property
transformation is known as a point reflection, or an inversion through a point. On the plane (m = 2), a point reflection is the same as a half-turn (180°)
Symmetry_(geometry)
Topics referred to by the same term
boundaries Reflection seismology or seismic reflection, a method of exploration geophysics Reflection principle, in set theory Point reflection, a reflection across
Reflection
Mapping from a Euclidean space to itself
horizontal axis (a horizontal reflection) would look like b. A reflection is an involution: when applied twice in succession, every point returns to its original
Reflection_(mathematics)
Mirror-like wave reflection
Specular reflection, or regular reflection, is the mirror-like reflection of waves, such as light, from a surface. The law of reflection states that a
Specular_reflection
"Bouncing back" of waves at an interface
Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection (for example at a mirror)
Reflection_(physics)
Symmetry of spatially mirrored systems
simultaneous flip in the sign of all three spatial coordinates (a point reflection or point inversion): P : ( x y z ) ↦ ( − x − y − z ) . {\displaystyle \mathbf
Parity_(physics)
Invariance under a mathematical reflection
In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure
Reflection_symmetry
Application of Clifford algebra
is a point reflection in the origin - because that is the transformation that results from a 180-degree rotation followed by a planar reflection in a
Plane-based_geometric_algebra
Symmetrical calligraphic or typographic visual pun
mutate to reveal another meaning. "Half-turn" ambigrams undergo a point reflection (180-degree rotational symmetry) and can be read upside down (for example
Ambigram
Numerical computation of special functions
approximation that has greater accuracy or only converges on one side of a reflection point (typically in the positive half of the complex plane) can be employed
Reflection_formula
Geometric transformation which produces an identical image
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
Symmetry_operation
Type of symmetry
there is an indistinguishable point (-x, -y, -z). Such point groups are also said to have inversion symmetry. Point reflection is a similar term used in geometry
Centrosymmetry
the same place. According to W. Harry Mayne, inventor of the Common Point Reflection Method in 1950, in order to avoid the "smearing" of recorded seismic
Normal_moveout
Protoplanetary nebula
the long-wavelength emission spectrum and the only known PPN with point-reflection-symmetric deviations from axial symmetry. The Frosty Leo Nebula has
Frosty_Leo_Nebula
Discrete group type in group theory
In group theory and geometry, a reflection group is a discrete group which is generated by a set of reflections of a finite-dimensional Euclidean space
Reflection_group
Ability of a process to examine and modify itself
In computer science, reflective programming or reflection is the ability of a process to examine, introspect, and modify its own structure and behavior
Reflective_programming
Group of geometric symmetries with at least one fixed point
groups or reflection groups are those point groups that are generated purely by a set of reflectional mirrors passing through the same point. A rank n
Point_group
Discrete subgroup in geometry
only of translations and point reflections and such that the subgroup of translations is a lattice. The orbit of any point under the action of a double
Double_lattice
Technique in computer graphics to represent reflective surfaces
shading computation at a pixel is determined by calculating the reflection vector at the point on the object and mapping it to the texel in the environment
Reflection_mapping
Non-perpendicular Euclidean reflection
three-dimensional Euclidean space. The usual reflection of a point A in space in respect to the plane P is another point B in space, such that the midpoint of
Oblique_reflection
Geometric transformation combining reflection and translation
In geometry, a glide reflection or transflection is a geometric transformation that consists of a reflection across a hyperplane and a translation ("glide")
Glide_reflection
Measure of wave reflectivity
reflection coefficient is the ratio of the complex amplitude of the reflected wave to that of the incident wave. The voltage and current at any point
Reflection_coefficient
Shading algorithm in computer graphics
The Phong reflection model (also called Phong illumination or Phong lighting) is an empirical model of the local illumination of points on a surface designed
Phong_reflection_model
Shape with ten sides
the decagon. In other words, the image of a regular pentagon under a point reflection with respect of its center is a concentric congruent pentagon, and
Decagon
Complete reflection of a wave
In physics, total internal reflection (TIR) is the phenomenon in which waves arriving at the interface (boundary) from one medium to another (e.g., from
Total_internal_reflection
Triangle center associated with the nine-point circle
orthocenter are reflections of the triangle's midpoints about its nine-point center. Thus, the nine-point center forms the center of a point reflection that maps
Nine-point_center
Characterizes spherical triangles with fixed base and area
transformation takes each point to its antipodal (diametrically opposite) point. For a sphere embedded in Euclidean space, this is a point reflection through the center
Lexell's_theorem
Supersonic flow phenomenon
flow is parallel to the wedge surface. Viewed in the frame of the reflection point, this flow is locally steady, and the flow is referred to as pseudosteady
Mach_reflection
Isometry of the Eluclidean plane
of reflecting the point p in the line L that is perpendicular to v and that passes through c. The line L is called the reflection axis or the associated
Euclidean_plane_isometry
Generalized scaling operation in geometry
gets the identity mapping; for k = − 1 {\displaystyle k=-1} one gets the reflection at the center; for 1 / k {\displaystyle 1/k} one gets the inverse mapping
Homothety
Topics referred to by the same term
Look up reflections or reflexions in Wiktionary, the free dictionary. Reflections may refer to: Reflections; or Sentences and Moral Maxims, a series of
Reflections
Knot defined by parametric equations defining Lissajous curves
{\displaystyle n_{y}} , and n z {\displaystyle n_{z}} are all odd, then the point reflection across the origin ( x , y , z ) ↦ ( − x , − y , − z ) {\displaystyle
Lissajous_knot
Topics referred to by the same term
maps generalized circles to generalized circles Inversion in a point, or point reflection, a kind of isometric (distance-preserving) transformation in a
Inversion
Topics referred to by the same term
Siouxsie and the Banshees Inverted question and exclamation marks Point reflection Southern Hemisphere The Upside of Down (disambiguation) Transformation
Upside_Down
Reflection with light scattered at random angles
Diffuse reflection is the reflection of light or other waves or particles from a surface such that a ray incident on the surface is scattered at many angles
Diffuse_reflection
Group of symmetries of an n-dimensional hypercube
generated by the point reflection through the origin. If one divides the cube into chambers by the planes fixed by each of its reflection symmetries, each
Hyperoctahedral_group
On reflection in a spherical mirror
problem in optics concerning reflection in a spherical mirror. It asks for the point in the mirror where one given point reflects to another. The special
Alhazen's_problem
Movement of an object which leaves at least one point unchanged
the distant stars to the local inertial frame Orientation (geometry) Point reflection Rolling – motion of two objects in contact with each-other without
Rotation
Topics referred to by the same term
Reflection map may refer to: Reflection mapping in computer graphics A reflection (mathematics), specifically an element of a reflection group an element
Reflection_map
Pictorial representation of symmetry
generator point: mirror images create new points as reflections, then polytope edges can be defined between points and a mirror image point. Faces are
Coxeter–Dynkin_diagram
Rotation composed with a reflection
geometry, an improper rotation (also called rotation-reflection, rotoreflection, rotary reflection, or rotoinversion) is an isometry in Euclidean space
Improper_rotation
Geometry concept
two-dimensional point groups are important as a basis for the axial three-dimensional point groups, with the addition of reflections in the axial coordinate
Point groups in two dimensions
Point_groups_in_two_dimensions
Scattering process at the normal-metal-superconductor interface
Andreev reflection, named after the Russian physicist Alexander F. Andreev, is a type of particle scattering which occurs at interfaces between a superconductor
Andreev_reflection
Quadrilateral symmetric across a diagonal
In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and
Kite_(geometry)
Coordinate system using perpendicular axes
If (x, y) are the Cartesian coordinates of a point, then (−x, y) are the coordinates of its reflection across the second coordinate axis (the y-axis)
Cartesian_coordinate_system
Mathematical concept
rotation in the plane can be formed by composing a pair of reflections. First reflect a point P {\displaystyle P} to its image P ′ {\displaystyle P'} on
Rotations and reflections in two dimensions
Rotations_and_reflections_in_two_dimensions
Meteorological phenomenon
A rainbow is an optical phenomenon caused by refraction, internal reflection and dispersion of light in water droplets resulting in a continuous spectrum
Rainbow
Arrangement of interrelated elements in an object/system, or the object/system itself
the effect of symmetry operations that include rotations about a point, reflections about a symmetry planes, and translations (movements of all the points
Structure
Groups of point isometries in 3 dimensions
object is chiral. The point groups that are generated purely by a finite set of reflection mirror planes passing through the same point are the finite Coxeter
Point groups in three dimensions
Point_groups_in_three_dimensions
Motion of a certain space that preserves at least one point
−1, and this result means the transformation is a hyperplane reflection, a point reflection (for odd n), or another kind of improper rotation. Matrices
Rotation_(mathematics)
Engineers use reflection lines to judge a surface's quality. Reflection lines reveal surface flaws, particularly discontinuities in normals indicating
Reflection_lines
Equations of light transmission and reflection
The Fresnel equations (or Fresnel coefficients) describe the reflection and transmission of light (or electromagnetic radiation in general) when incident
Fresnel_equations
Electrical engineers graphical calculator
the load to the point under consideration. The degrees scale represents the angle of the voltage reflection coefficient at that point. The Smith chart
Smith_chart
Temperature below which condensation occurs
it. The dew point is revealed by observing the loss of clarity in the reflection cast by the mirror. Manual devices of this sort can be used to calibrate
Dew_point
Symmetry group in 1D systems
for, say, the color at position x. The only nontrivial point group in 1D is a simple reflection. It can be represented by the simplest Coxeter group, A1
One-dimensional symmetry group
One-dimensional_symmetry_group
Presentation application, part of Microsoft 365 and Microsoft Office
PowerPoint". Reflections. IEEE Spectrum. 35 (1): 17. doi:10.1109/MSPEC.1998.646010. ISSN 0018-9235. Guernsey, Lisa (May 31, 2001). "PowerPoint Invades
Microsoft_PowerPoint
Orthocenter of a triangle's anticomplementary triangle
Longchamps point of a triangle is a triangle center named after French mathematician Gaston Albert Gohierre de Longchamps. It is the reflection of the orthocenter
De_Longchamps_point
Exploration of subsurface properties with seismology
Reflection seismology (or seismic reflection) is a method of exploration geophysics that uses the principles of seismology to estimate the properties of
Reflection_seismology
Function with unusual fractal properties
performs a point reflection through its center. A point on the graph of ? has coordinates (x, ?(x)) for some x in the unit interval. Such a point is transformed
Minkowski's question-mark function
Minkowski's_question-mark_function
Topics referred to by the same term
In mathematics, a reflection principle may refer to: Reflection principle, the principle in set theory that it is possible to find sets that resemble
Reflection principle (disambiguation)
Reflection_principle_(disambiguation)
Directional planes
line or plane passing by a given point is said to be vertical if it contains the local gravity direction at that point. Conversely, a line or plane is
Vertical_and_horizontal
Angle in geometric optics
certain point on Earth's surface is 0° if the Sun is precisely overhead and that it is 90° at sunset or sunrise. Determining the angle of reflection with
Angle_of_incidence_(optics)
1975 song by Fleetwood Mac
to 2025)". ARIA. Retrieved 18 April 2026 – via Imgur.com. N.B. The High Point number in the NAT column represents the release's peak on the national chart
Landslide (Fleetwood Mac song)
Landslide_(Fleetwood_Mac_song)
Physical phenomenon
Quantum reflection is a uniquely quantum phenomenon in which an object, such as a neutron or a small molecule, reflects smoothly and in a wavelike fashion
Quantum_reflection
1656 painting by Diego Velázquez
depths". The royal couple's reflection pushes in the opposite direction, forward into the picture space. The vanishing point of the perspective is in the
Las_Meninas
Isometry group of Euclidean space
plane glide reflection with respect to a plane, and a translation in that plane inversion in a point and any isometry keeping the point fixed rotation
Euclidean_group
Topics referred to by the same term
Considering only points in a plane, a half turn is equivalent to a point reflection Pi (π), a mathematical constant representing a half-turn in radians
Half-turn
Point fixed to a body undergoing planar movement
center of the suspension. Angular velocity Burmester's theory Centrode Point reflection group Rigid body Roll center Rotation around a fixed axis Two-dimensional
Instant_centre_of_rotation
Japanese performance artist
connection between her new series of work and the moving-image piece Point Reflection (2023). Solo shows include "Delicate Cycle" SculptureCenter, New York
Aki_Sasamoto
Crystallographic law
known as reflection symmetry or mirror symmetry. If every face of a crystal has another identical face at an equal distance from a central point, then this
Law of symmetry (crystallography)
Law_of_symmetry_(crystallography)
Equilibrium points near two orbiting bodies
physics and astronomy Gegenschein – Optical effect of interplanetary dust reflections Interplanetary Transport Network – Low-energy trajectories in the Solar
Lagrange_point
Difference between phase angles
change on reflection is important in the physics of wind instruments. A wave on a string experiences a 180° phase change when it reflects from a point where
Reflection_phase_change
Japanese OVA series
Rurouni Kenshin: Reflection, known in Japan as Rurōni Kenshin -Meiji Kenkaku Roman Tan- Seisōhen (Japanese: るろうに剣心 -明治剣客浪漫譚- 星霜編; "Rurouni Kenshin: Meiji
Rurouni_Kenshin:_Reflection
Branch of mathematics concerned with the movement of shapes and sets
begins with a study of reflection symmetry as found in daily life. The first real transformation is reflection in a line or reflection against an axis. The
Transformation_geometry
6th episode of the 8th season of Dexter
"A Little Reflection" is the sixth episode of the eighth season of the American crime drama television series Dexter. It is the 90th overall episode of
A_Little_Reflection
Musical transformation that maps an entity onto itself
interval families are based on difference). Klumpenhouwer network Point reflection Derived row Twelve-tone technique#Invariance Perle, George (1995).
Identity_(music)
Topics referred to by the same term
with the title Theory of reflection. If an internal link incorrectly led you here, you may wish to change the link to point directly to the intended article
Theory_of_reflection
Scenic highway around Crater Lake National Park
seven miles. These stops are Cloudcap, Cottage Rocks, Sentinel Point, Reflection Point, and Kerr Notch. Each site has views of the lake and surrounding
Rim_Drive
2021 South Korean television series
Reflection of You (Korean: 너를 닮은 사람) is a South Korean television series directed by Lim Hyeon-wook and starring Go Hyun-jung, Shin Hyun-been, Kim Jae-young
Reflection_of_You
Classification of a two-dimensional repetitive pattern
denoted by Rc,θ, where c is a point in the plane (the centre of rotation), and θ is the angle of rotation. Reflections, or mirror isometries, denoted
Wallpaper_group
Classification system for crystals
into rotations, glide reflections into reflections and moving all symmetry elements into the origin. Each crystallographic point group defines the (geometric)
Crystallographic_point_group
2025 song by the Weeknd, Travis Scott, and Florence and the Machine
"Reflections Laughing" is a song by Canadian singer-songwriter the Weeknd, American rapper and singer Travis Scott, and English indie rock band Florence
Reflections_Laughing
Angle of incidence for which all reflected light will be polarized
perfectly transmitted through a transparent dielectric surface, with no reflection. When unpolarized light is incident at this angle, the light that is reflected
Brewster's_angle
Distribution result for probability mathematics
In the theory of probability for stochastic processes, the reflection principle for a Wiener process states that if the path of a Wiener process f(t) reaches
Reflection principle (Wiener process)
Reflection_principle_(Wiener_process)
Rotation in a discrete subgroup of symmetries of the Euclidean plane
of the Euclidean plane such that the subgroup does not also contain a reflection symmetry whose axis passes through the center of rotational symmetry.
Gyration
Optical component which splits light into several beams
of the paths near the classical reflection site of the mirror are nearly the same, so the probability amplitudes point in nearly the same direction—thus
Diffraction_grating
Shading algorithm in computer graphics
Blinn–Phong reflection model, also called the modified Phong reflection model, is a modification developed by Jim Blinn to the Phong reflection model in
Blinn–Phong_reflection_model
Topics referred to by the same term
180-degree apart Inverse geodesics on an ellipsoid A 180-degree rotation A point reflection This disambiguation page lists articles associated with the title Opposite
Opposite_direction
1972 American horror film by William A. Fraker
A Reflection of Fear is a 1972 American horror thriller film directed by William A. Fraker with a screenplay by Edward Hume and Lewis John Carlino and
A_Reflection_of_Fear
Group of transformations under which the object is invariant
symmetry groups come in three types: (1) finite point groups, which include only rotations, reflections, inversions and rotoinversions – i.e., the finite
Symmetry_group
biblical quotation. It is a penitential song, taking as a starting point reflection of mistakes and rejection by many, but the hope that God who is addressed
Sag ja zu mir, wenn alles nein sagt
Sag_ja_zu_mir,_wenn_alles_nein_sagt
Classification system for symmetry groups in geometry
classifying symmetry groups, describing the angles between fundamental reflections of a Coxeter group in a bracketed notation expressing the structure of
Coxeter_notation
American physician, health policy researcher, and author
recent books about public health topics have included "The Turning Point: Reflections on a Pandemic" (2024), co-authored with Sandro Galea. Stein is also
Michael_Stein
Mathematical group
In the mathematical theory of reflection groups, the parabolic subgroups are a special kind of subgroup. In the symmetric group of permutations of the
Parabolic subgroup of a reflection group
Parabolic_subgroup_of_a_reflection_group
Right-wing political advocacy group
Turning Point UK (TPUK) is a British offshoot of the American student pressure group Turning Point USA. The UK group was set up to promote right-wing politics
Turning_Point_UK
Root-finding algorithm
transform, clipping, lighting, and shading to compute angles of incidence and reflection. Programs such as Quake III: Arena must perform a large number of these
Fast_inverse_square_root
Calculation technique for classical electrostatics
calculated with Coulomb's law between two point charges. The potential at any point in space, due to these two point charges of charge +q at +a and −q at −a
Method_of_image_charges
2001 single by Mariah Carey
like through Billie's point of view, like there's a song - I always call "Care Enough", but everyone's calling it "Reflection" because that's the first
Reflections_(Care_Enough)
Glass tank of water demonstrating the basic properties of waves
is used, a plane wave pulse will converge on a point after reflection. This point is the focal point of the mirror. Circular waves can be produced by
Ripple_tank
POINT REFLECTION
POINT REFLECTION
Girl/Female
Norse
New point.
Girl/Female
Hindu, Indian, Marathi
Point; Intelligent
Boy/Male
Shakespearean
King Henry IV, Part 1 and 2' Edward Poins, an irregular humorist.
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Sindhi, Tamil, Telugu
Drop; Point
Surname or Lastname
English, Scottish, French, and Catalan
English, Scottish, French, and Catalan : topographic name for
someone who lived near a bridge, Middle English, Old French, Catalan
pont (Latin pons, genitive pontis).Catalan : habitational name from any of the numerous places named
with Pont.Dutch : variant of
Pond 2.A Pont from the Lorraine region of France is documented in Quebec City in
1640; Pont appears to be a secondary surname to
Girl/Female
Tamil
Bindushri | பீநà¯à®¤à¯à®·à¯à®°à¯€Â
Point
Bindushri | பீநà¯à®¤à¯à®·à¯à®°à¯€Â
Girl/Female
Hindu, Indian
Point
Boy/Male
Norse
Point descendant.
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : from the medieval personal name Ponc(h)e, Pons (see Ponce).English (of Norman origin) : habitational name from Ponts in La Manche and Seine-Maritime, Normandy, from Latin pontes ‘bridges’ (see Pont).English (of Norman origin) : nickname for a fop or dandy, from points ‘laces for hose’ (see Pointer 1).
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Tamil, Telugu
Drop; Point
Surname or Lastname
English and French
English and French : probably an altered form of French Pons, a habitational name from places so named in Bourgogne and Franche-Comté.
Girl/Female
Norse
Beautiful point.
Girl/Female
Hindu, Indian
Point
Girl/Female
Tamil
Prasheetha | பà¯à®°à®·à¯€à®¤à®¾
Origin, Starting point
Prasheetha | பà¯à®°à®·à¯€à®¤à®¾
Girl/Female
Hindu, Indian
Drop Point
Boy/Male
Tamil
Origin, Starting point
Girl/Female
Indian
Drop, Point
Girl/Female
Norse
Point.
Boy/Male
Indian
Point
Girl/Female
Tamil
Bindu Priya | பிஂத௠பà¯à®°à®¿à®¯à®¾Â
Drop, Point
POINT REFLECTION
POINT REFLECTION
Girl/Female
Italian
Feminine of Jordan. The Jordan River.
Female
English
Variant spelling of English Chrissie, CHRISSY means "believer" or "follower of Christ."
Boy/Male
Muslim
The strong
Boy/Male
Hindu
Bordering, Leader, Universal whole
Boy/Male
Hindu, Indian, Tamil, Telugu
Lord Vishnu
Girl/Female
Hindu, Indian
Goddess Durga; Pure
Girl/Female
Muslim/Islamic
Luck
Surname or Lastname
English
English : from a pet form of Bagge 2.
Male
Polish
Pet form of Polish Gabryjel, GABRYŜ means "man of God" or "warrior of God."
Girl/Female
Muslim/Islamic
Good luck
POINT REFLECTION
POINT REFLECTION
POINT REFLECTION
POINT REFLECTION
POINT REFLECTION
n.
To mark (as Hebrew) with vowel points.
adv.
Alt. of Point-devise
n.
To supply with punctuation marks; to punctuate; as, to point a composition.
n.
Lace wrought the needle; as, point de Venise; Brussels point. See Point lace, below.
adv.
In a point-blank manner.
n.
A core print. See under Core.
n.
One of the points of the compass (see Points of the compass, below); also, the difference between two points of the compass; as, to fall off a point.
n.
The attitude assumed by a pointer dog when he finds game; as, the dog came to a point. See Pointer.
n.
To give a point to; to sharpen; to cut, forge, grind, or file to an acute end; as, to point a dart, or a pencil. Used also figuratively; as, to point a moral.
n.
Printed letters; the impression taken from type, as to excellence, form, size, etc.; as, small print; large print; this line is in print.
n.
Whatever serves to mark progress, rank, or relative position, or to indicate a transition from one state or position to another, degree; step; stage; hence, position or condition attained; as, a point of elevation, or of depression; the stock fell off five points; he won by tenpoints.
a.
Joined; united; combined; concerted; as joint action.
v. i.
To direct the point of something, as of a finger, for the purpose of designating an object, and attracting attention to it; -- with at.
n.
A fixed conventional place for reference, or zero of reckoning, in the heavens, usually the intersection of two or more great circles of the sphere, and named specifically in each case according to the position intended; as, the equinoctial points; the solstitial points; the nodal points; vertical points, etc. See Equinoctial Nodal.
a.
Shared by, or affecting two or more; held in common; as, joint property; a joint bond.
n.
A short piece of cordage used in reefing sails. See Reef point, under Reef.
v. t.
To cover with coloring matter; to apply paint to; as, to paint a house, a signboard, etc.
n.
A movement executed with the saber or foil; as, tierce point.
n.
To direct toward an abject; to aim; as, to point a gun at a wolf, or a cannon at a fort.
a.
Alt. of Point-devise