In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure...
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transformation, it is said to have symmetry, and the transformation is called a symmetry operation. Glide-reflection symmetry is seen in frieze groups (patterns...
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point reflection is said to possess point symmetry (also called inversion symmetry or central symmetry). A point group including a point reflection among...
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geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object...
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larger portions. Other symmetries include glide reflection symmetry (a reflection followed by a translation) and rotoreflection symmetry (a combination of...
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Parity (physics) (redirect from Space reflection symmetry)
simultaneous flip in the sign of all three spatial coordinates (a point reflection): P : ( x y z ) ↦ ( − x − y − z ) . {\displaystyle \mathbf {P}...
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Dihedral group (redirect from Dihedral symmetry)
mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections. Dihedral groups are among the simplest...
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{\displaystyle {\tfrac {360^{\circ }}{n}}.} Examples without additional reflection symmetry: n = 2, 180°: the dyad; letters Z, N, S; the outlines, albeit not...
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symmetry of X. The above is sometimes called the full symmetry group of X to emphasize that it includes orientation-reversing isometries (reflections...
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Wallpaper group (redirect from Wallpaper symmetries)
patterns have more forms of symmetry, including some rotational and reflectional symmetries: Example A: Cloth, Tahiti Example B: Ornamental painting, Nineveh...
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has a continuous symmetry given by rotation about the axis through the top of the hill (as well as a discrete symmetry by reflection through any radial...
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folded in half. Symmetry is one class of patterns in nature whereby there is near-repetition of the pattern element, either by reflection or rotation. While...
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(or orientation-preserving) symmetries, and 48 symmetries altogether. These include transformations that combine a reflection and a rotation. A cube has...
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an axis. The main types of axial symmetry are reflection symmetry and rotational symmetry (including circular symmetry for plane figures). For example...
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continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions, as opposed to discrete symmetry, e.g. reflection symmetry...
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Improper rotation (redirect from Rotation-reflection axis)
that is unchanged by a combination of rotation and reflection is said to have improper rotation symmetry. In 3 dimensions, improper rotation is equivalently...
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rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation. The group of all...
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energy is preserved under a reflection in the y-axis. The last example above illustrates another way of expressing symmetries, namely through the equations...
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) through a centre of symmetry + / − {\displaystyle +/-} is the reflection symmetry along an arbitrary plane containing the internuclear axis For atoms...
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Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and two pairs...
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from the lengths of the legs and base. Every isosceles triangle has reflection symmetry across the perpendicular bisector of its base, which passes through...
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Polyhex (mathematics) (section Symmetry)
degrees rotation or reflection parallel or perpendicular to the long axis of the dihex (order 2 rotational and order 4 reflection symmetry), and the hexagon...
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their lack of translational symmetry, Penrose tilings may have both reflection symmetry and fivefold rotational symmetry. Penrose tilings are named after...
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diagonal reflection symmetry, and four-fold rotational symmetry T: vertical reflection symmetry only L: no symmetry S: two-fold rotational symmetry only One-sided...
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symmetry has 60 rotational (or orientation-preserving) symmetries and 60 orientation-reversing symmetries (that combine a rotation and a reflection)...
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reflection symmetry on one orthogonal axis. reflection symmetry on two orthogonal axes. reflection symmetry on one diagonal axis. reflection symmetry...
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