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  2. Symmetry element - Wikipedia

    en.wikipedia.org/wiki/Symmetry_element

    Rotational symmetry, also known as radial symmetry, is represented by an axis about which the object rotates in its corresponding symmetry operation. A group of proper rotations is denoted as C n, where the degrees of rotation that restore the object is 360/n (C 2 = 180º rotation, C 3 = 120º rotation, C 4 = 90º rotation, C 5 = 72º rotation ...

  3. Rotational symmetry - Wikipedia

    en.wikipedia.org/wiki/Rotational_symmetry

    Therefore, the number of 2-, 3-, 4-, and 6-fold rotocenters per primitive cell is 4, 3, 2, and 1, respectively, again including 4-fold as a special case of 2-fold, etc. 3-fold rotational symmetry at one point and 2-fold at another one (or ditto in 3D with respect to parallel axes) implies rotation group p6, i.e. double translational symmetry ...

  4. File:Diagram comparing bilateral, radial, and spherical ...

    en.wikipedia.org/wiki/File:Diagram_comparing...

    English: Illustrating different forms of symmetry in biology - the three main forms (bilateral, radial and spherical). Cartoon form generated using shapes from biorender. To be used in the symmetry in biology page.

  5. Symmetry operation - Wikipedia

    en.wikipedia.org/wiki/Symmetry_operation

    In mathematics, a symmetry operation is a geometric transformation of an object that leaves the object looking the same after it has been carried out. For example, a 1 ⁄ 3 turn rotation of a regular 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 center are all symmetry operations.

  6. Crystallographic restriction theorem - Wikipedia

    en.wikipedia.org/wiki/Crystallographic...

    Similar as in other proofs, this implies that the only allowed rotational symmetries correspond to 1,2,3,4 or 6-fold invariance. For example, wallpapers and crystals cannot be rotated by 45° and remain invariant, the only possible angles are: 360°, 180°, 120°, 90° or 60°.

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    mail.aol.com

    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  8. 2024 NFL playoff picture: Who’s sealed their spot and who’s ...

    www.aol.com/sports/2024-nfl-playoff-picture...

    The Bills are the only team to defeat the 13-1 Chiefs this season, and therefore hold a potential tiebreaker for the No. 1 seed in the AFC and home-field advantage in the postseason.

  9. 'Large number' of Americans' metadata stolen by Chinese ...

    www.aol.com/news/large-number-americans-metadata...

    WASHINGTON (Reuters) -A large number of Americans' metadata has been stolen in the sweeping cyberespionage campaign carried out by a Chinese hacking group dubbed "Salt Typhoon," a senior U.S ...

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