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2. English grammar - Wikipedia

   en.wikipedia.org/wiki/English_grammar

   The first published English grammar was a Pamphlet for Grammar of 1586, written by William Bullokar with the stated goal of demonstrating that English was just as rule-based as Latin. Bullokar's grammar was faithfully modeled on William Lily's Latin grammar, Rudimenta Grammatices (1534), used in English schools at that time, having been ...

3. Hermann–Mauguin notation - Wikipedia

   en.wikipedia.org/wiki/Hermann–Mauguin_notation

   For example, 2 1 is a 180° (twofold) rotation followed by a translation of ⁠ 1 / 2 ⁠ of the lattice vector. 3 1 is a 120° (threefold) rotation followed by a translation of ⁠ 1 / 3 ⁠ of the lattice vector. The possible screw axes are: 2 1, 3 1, 3 2, 4 1, 4 2, 4 3, 6 1, 6 2, 6 3, 6 4, and 6 5.

4. Symmetry (geometry) - Wikipedia

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

   A drawing of a butterfly with bilateral symmetry, with left and right sides as mirror images of each other.. In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object onto itself (i.e., the object has an invariance under the transform). [1]

5. Symmetry - Wikipedia

   en.wikipedia.org/wiki/Symmetry

   An object has reflectional symmetry (line or mirror symmetry) if there is a line (or in 3D a plane) going through it which divides it into two pieces that are mirror images of each other. [6] An object has rotational symmetry if the object can be rotated about a fixed point (or in 3D about a line) without changing the overall shape. [7]

6. List of spherical symmetry groups - Wikipedia

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

   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. Template:632 symmetry table - Wikipedia

   en.wikipedia.org/wiki/Template:632_symmetry_table

   In geometry, the [6,3], (*632) symmetry group is bounded by mirrors meeting with angles of 30, 60, and 90 degrees.There are a number of small index subgroups constructed by mirror removal and alternation. h[6,3] = [1 +,6,3] creates [3 [3]], (*333) symmetry, shown as red mirror lines.