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38 relations: Affine involution, Architecture, Asymmetry, Axiality (geometry), Bilateria, Fundamental domain, Group (mathematics), Hexagon, Inversive geometry, Involution (mathematics), Isosceles trapezoid, Isosceles triangle, Kite (geometry), Mathematical object, Mirror image, Oblique reflection, Octagon, Operation (mathematics), Palladian architecture, Parity (physics), Patterns in nature, Perpendicular, Plane (geometry), Point groups in three dimensions, Point reflection, Quadrilateral, Reflection (mathematics), Rhombus, Rotational symmetry, Santa Maria Novella, Stonehenge, Symmetry, Symmetry group, Three-dimensional space, Translational symmetry, Triangle, Venice, 2D geometric model.
Affine involution
In Euclidean geometry, of special interest are involutions which are linear or affine transformations over the Euclidean space Rn.
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Architecture
Architecture is both the process and the product of planning, designing, and constructing buildings or any other structures.
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Asymmetry
Asymmetry is the absence of, or a violation of, symmetry (the property of an object being invariant to a transformation, such as reflection).
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Axiality (geometry)
In the geometry of the Euclidean plane, axiality is a measure of how much axial symmetry a shape has.
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Bilateria
The Bilateria or bilaterians, or triploblasts, are animals with bilateral symmetry, i.e., they have a head (anterior) and a tail (posterior) as well as a back (dorsal) and a belly (ventral); therefore they also have a left side and a right side.
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Fundamental domain
Given a topological space and a group acting on it, the images of a single point under the group action form an orbit of the action.
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Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
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Hexagon
In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.
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Inversive geometry
In geometry, inversive geometry is the study of those properties of figures that are preserved by a generalization of a type of transformation of the Euclidean plane, called inversion.
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Involution (mathematics)
In mathematics, an involution, or an involutory function, is a function that is its own inverse, for all in the domain of.
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Isosceles trapezoid
In Euclidean geometry, an isosceles trapezoid (isosceles trapezium in British English) is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.
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Isosceles triangle
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
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Kite (geometry)
In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.
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Mathematical object
A mathematical object is an abstract object arising in mathematics.
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Mirror image
A mirror image (in a plane mirror) is a reflected duplication of an object that appears almost identical, but is reversed in the direction perpendicular to the mirror surface.
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Oblique reflection
In Euclidean geometry, oblique reflections generalize ordinary reflections by not requiring that reflection be done using perpendiculars.
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Octagon
In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is an eight-sided polygon or 8-gon.
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Operation (mathematics)
In mathematics, an operation is a calculation from zero or more input values (called operands) to an output value.
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Palladian architecture
Palladian architecture is a European style of architecture derived from and inspired by the designs of the Venetian architect Andrea Palladio (1508–1580).
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Parity (physics)
In quantum mechanics, a parity transformation (also called parity inversion) is the flip in the sign of one spatial coordinate.
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Patterns in nature
Patterns in nature are visible regularities of form found in the natural world.
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Perpendicular
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).
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Plane (geometry)
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
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Point groups in three dimensions
In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry group of a sphere.
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Point reflection
In geometry, a point reflection or inversion in a point (or inversion through a point, or central inversion) is a type of isometry of Euclidean space.
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Quadrilateral
In Euclidean plane geometry, a quadrilateral is a polygon with four edges (or sides) and four vertices or corners.
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Reflection (mathematics)
In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.
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Rhombus
In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a simple (non-self-intersecting) quadrilateral whose four sides all have the same length.
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Rotational symmetry
Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn.
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Santa Maria Novella
Santa Maria Novella is a church in Florence, Italy, situated just across from the main railway station named after it.
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Stonehenge
Stonehenge is a prehistoric monument in Wiltshire, England, west of Amesbury.
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Symmetry
Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance.
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Symmetry group
In group theory, the symmetry group of an object (image, signal, etc.) is the group of all transformations under which the object is invariant with composition as the group operation.
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Three-dimensional space
Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point).
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Translational symmetry
In geometry, a translation "slides" a thing by a: Ta(p).
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Triangle
A triangle is a polygon with three edges and three vertices.
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Venice
Venice (Venezia,; Venesia) is a city in northeastern Italy and the capital of the Veneto region.
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2D geometric model
A 2D geometric model is a geometric model of an object as a two-dimensional figure, usually on the Euclidean or Cartesian plane.
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Redirects here:
Axes of symmetry, Line of symmetry, Line symmetry, Linear symmetry, Plane of symmetry, Reflection symmetries, Reflectional symmetry, Reflective symmetry.
References
[1] https://en.wikipedia.org/wiki/Reflection_symmetry
