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  2. Triskelion - Wikipedia

    en.wikipedia.org/wiki/Triskelion

    A triskelion or triskeles is an ancient motif consisting either of a triple spiral exhibiting rotational symmetry or of other patterns in triplicate that emanate from a common center. The spiral design can be based on interlocking Archimedean spirals , or represent three bent human limbs.

  3. Rotational symmetry - Wikipedia

    en.wikipedia.org/wiki/Rotational_symmetry

    The triskelion appearing on the Isle of Man flag has rotational symmetry because it appears the same when rotated by one third of a full turn about its center. Because its appearance is identical in three distinct orientations, its rotational symmetry is three-fold.

  4. Symmetry (geometry) - Wikipedia

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

    The triskelion has 3-fold rotational symmetry. Rotational symmetry is symmetry with respect to some or all rotations in m-dimensional Euclidean space. Rotations are direct isometries, which are isometries that preserve orientation. [17] Therefore, a symmetry group of rotational symmetry is a subgroup of the special Euclidean group E + (m).

  5. Category:Rotational symmetry - Wikipedia

    en.wikipedia.org/wiki/Category:Rotational_symmetry

    Pages in category "Rotational symmetry" The following 58 pages are in this category, out of 58 total. ... Triskelion; W. Wigner D-matrix; Z. Zonal spherical harmonics

  6. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    The triskelion has 3-fold rotational symmetry. A geometric shape or object is symmetric if it can be divided into two or more identical pieces that are arranged in an organized fashion. [5] This means that an object is symmetric if there is a transformation that moves individual pieces of the object, but doesn't change the overall shape.

  7. Point groups in three dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_three...

    The infinite series of axial or prismatic groups have an index n, which can be any integer; in each series, the nth symmetry group contains n-fold rotational symmetry about an axis, i.e. symmetry with respect to a rotation by an angle 360°/n. n=1 covers the cases of no rotational symmetry at all.

  8. Symmetry group - Wikipedia

    en.wikipedia.org/wiki/Symmetry_group

    The twelve rotations form the rotation (symmetry) group of the figure. In group theory , the symmetry group of a geometric object is the group of all transformations under which the object is invariant , endowed with the group operation of composition .

  9. Category:Symmetry - Wikipedia

    en.wikipedia.org/wiki/Category:Symmetry

    Circular symmetry; Color and Symmetry; Colored Symmetry (book) Commutative property; Conformal field theory; Conformal symmetry; Confronted animals; Conservation law; Conserved current; Continuous symmetry; Coxeter notation; CPT symmetry; Crystal system; Crystallographic point group; Curie's principle; Cyclic symmetry in three dimensions; Cymatics