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  2. Axial symmetry - Wikipedia

    en.wikipedia.org/wiki/Axial_symmetry

    The main types of axial symmetry are reflection symmetry and rotational symmetry (including circular symmetry for plane figures). [1] For example, a baseball bat (without trademark or other design), or a plain white tea saucer, looks the same if it is rotated by any angle about the line passing lengthwise through its center, so it is axially ...

  3. Beaux-Arts architecture - Wikipedia

    en.wikipedia.org/wiki/Beaux-Arts_architecture

    The Beaux-Arts style evolved from the French classicism of the Style Louis XIV, and then French neoclassicism beginning with Style Louis XV and Style Louis XVI.French architectural styles before the French Revolution were governed by Académie royale d'architecture (1671–1793), then, following the French Revolution, by the Architecture section of the Académie des Beaux-Arts.

  4. Axiality (geometry) - Wikipedia

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

    The set of all possible reflection symmetry lines in the plane is (by projective duality) a two-dimensional space, which they partition into cells within which the pattern of crossings of the polygon with its reflection is fixed, causing the axiality to vary smoothly within each cell. They thus reduce the problem to a numerical computation ...

  5. Mathematics and architecture - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_architecture

    The buildings include a mosque in red sandstone on the west, and an almost identical building, the Jawab or 'answer' on the east to maintain the bilateral symmetry of the complex. The formal charbagh ('fourfold garden') is in four parts, symbolising the four rivers of Paradise , and offering views and reflections of the mausoleum.

  6. 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]

  7. Circular symmetry - Wikipedia

    en.wikipedia.org/wiki/Circular_symmetry

    In geometry, circular symmetry is a type of continuous symmetry for a planar object that can be rotated by any arbitrary angle and map onto itself. Rotational circular symmetry is isomorphic with the circle group in the complex plane , or the special orthogonal group SO(2), and unitary group U(1).

  8. Geometric terms of location - Wikipedia

    en.wikipedia.org/wiki/Geometric_terms_of_location

    Axial – along the center of a round body, or the axis of rotation of a body Radial – along a direction pointing along a radius from the center of an object, or perpendicular to a curved path. Circumferential (or azimuthal ) – following around a curve or circumference of an object.

  9. Frieze group - Wikipedia

    en.wikipedia.org/wiki/Frieze_group

    A symmetry group in frieze group 1, 2, 3, or 5 is a subgroup of a symmetry group in the last frieze group with the same translational distance. A symmetry group in frieze group 4 or 6 is a subgroup of a symmetry group in the last frieze group with half the translational distance. This last frieze group contains the symmetry groups of the ...