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  2. The Ambidextrous Universe - Wikipedia

    en.wikipedia.org/wiki/The_Ambidextrous_Universe

    The Ambidextrous Universe is a popular science book by Martin Gardner, covering aspects of symmetry and asymmetry in human culture, science and the wider universe.It culminates in a discussion of whether nature's conservation of parity (the symmetry of mirrored quantum systems) is ever violated, which had been proven experimentally in 1956.

  3. List of planar symmetry groups - Wikipedia

    en.wikipedia.org/wiki/List_of_planar_symmetry_groups

    The symmetry groups are named here by three naming schemes: International notation, orbifold notation, and Coxeter notation. There are three kinds of symmetry groups of the plane: 2 families of rosette groups – 2D point groups. 7 frieze groups – 2D line groups. 17 wallpaper groups – 2D space groups.

  4. Dirac cone - Wikipedia

    en.wikipedia.org/wiki/Dirac_cone

    The two conical surfaces touch each other and form a zero-band gap semimetal. The name of Dirac cone comes from the Dirac equation that can describe relativistic particles in quantum mechanics, proposed by Paul Dirac. Isotropic Dirac cones in graphene were first predicted by P. R. Wallace in 1947 [6] and experimentally observed by the Nobel ...

  5. Crystallographic restriction theorem - Wikipedia

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

    The crystallographic restriction theorem in its basic form was based on the observation that the rotational symmetries of a crystal are usually limited to 2-fold, 3-fold, 4-fold, and 6-fold. However, quasicrystals can occur with other diffraction pattern symmetries, such as 5-fold; these were not discovered until 1982 by Dan Shechtman.

  6. List of spherical symmetry groups - Wikipedia

    en.wikipedia.org/wiki/List_of_spherical_symmetry...

    Finite spherical symmetry groups are also called point groups in three dimensions. There are five fundamental symmetry classes which have triangular fundamental domains: dihedral, cyclic, tetrahedral, octahedral, and icosahedral symmetry. This article lists the groups by Schoenflies notation, Coxeter notation, [1] orbifold notation, [2] and order.

  7. Lorentz covariance - Wikipedia

    en.wikipedia.org/wiki/Lorentz_covariance

    Lorentz covariance. In relativistic physics, Lorentz symmetry or Lorentz invariance, named after the Dutch physicist Hendrik Lorentz, is an equivalence of observation or observational symmetry due to special relativity implying that the laws of physics stay the same for all observers that are moving with respect to one another within an ...

  8. AOL Mail

    mail.aol.com

    You can find instant answers on our AOL Mail help page. Should you need additional assistance we have experts available around the clock at 800-730-2563.

  9. Octomino - Wikipedia

    en.wikipedia.org/wiki/Octomino

    Their symmetry group has two elements, the identity and the reflection in a line parallel to the sides of the squares. 5 octominoes (coloured green) have an axis of reflection symmetry at 45° to the gridlines. Their symmetry group has two elements, the identity and a diagonal reflection.