enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Crystallographic restriction theorem - Wikipedia

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

    Thus 5-fold rotational symmetry cannot be eliminated by an argument missing either of those assumptions. A Penrose tiling of the whole (infinite) plane can only have exact 5-fold rotational symmetry (of the whole tiling) about a single point, however, whereas the 4-fold and 6-fold lattices have infinitely many centres of rotational symmetry.

  3. Quasicrystal - Wikipedia

    en.wikipedia.org/wiki/Quasicrystal

    The more precise mathematical definition is that there is never translational symmetry in more than n – 1 linearly independent directions, where n is the dimension of the space filled, e.g., the three-dimensional tiling displayed in a quasicrystal may have translational symmetry in two directions.

  4. Rotational symmetry - Wikipedia

    en.wikipedia.org/wiki/Rotational_symmetry

    Because its appearance is identical in three distinct orientations, its rotational symmetry is three-fold. Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in ...

  5. Point groups in three dimensions - Wikipedia

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

    C i (equivalent to S 2) – inversion symmetry; C 2 – 2-fold rotational symmetry; C s (equivalent to C 1h and C 1v) – reflection symmetry, also called bilateral symmetry. Patterns on a cylindrical band illustrating the case n = 6 for each of the 7 infinite families of point groups. The symmetry group of each pattern is the indicated group.

  6. Fivefold Scapular - Wikipedia

    en.wikipedia.org/wiki/Fivefold_Scapular

    The Fivefold Scapular, also known as Redemptorist Scapular, is a sacramental made up of five best-known of the early scapulars in the Catholic Church: the Brown Scapular of the Carmelites, the Blue Scapular of the Immaculate Conception, the Black Scapular of the Servites, the Red Scapular of the Passion, and the White Scapular of the Most Holy Trinity.

  7. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    A Penrose tiling with rhombi exhibiting fivefold symmetry. A Penrose tiling is an example of an aperiodic tiling.Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is aperiodic if it does not contain arbitrarily large periodic regions or patches.

  8. Jerusalem cross - Wikipedia

    en.wikipedia.org/wiki/Jerusalem_cross

    Jerusalem cross based on a cross potent (as commonly realised in early modern heraldry) The national flag of Georgia The Jerusalem cross (also known as "five-fold Cross", or "cross-and-crosslets" and the "Crusader's cross") is a heraldic cross and Christian cross variant consisting of a large cross potent surrounded by four smaller Greek crosses, one in each quadrant, representing the Four ...

  9. Point groups in four dimensions - Wikipedia

    en.wikipedia.org/wiki/Point_groups_in_four...

    Four circles meet at each vertex. Each circle represents axes of 3-fold symmetry. The 600-cell edges projected onto a 3-sphere represent 72 great circles of H4 symmetry. Six circles meet at each vertex. Each circle represent axes of 5-fold symmetry. Direct subgroups of the reflective 4-dimensional point groups are: