### Some articles on *rotocenters*:

Hexagonal Lattice

... A pattern with 3- or 6-fold rotational symmetry has a lattice of 3-fold

... A pattern with 3- or 6-fold rotational symmetry has a lattice of 3-fold

**rotocenters**(including possible 6-fold**rotocenters**) that is this finer lattice relative to the lattice of translational ... applies p3m1 with reflection axes along the shortest connections between the**rotocenters**p31m in the main translation directions In the 6-fold case ... there are reflection axes in the main translation directions, one of the three sets of**rotocenters**play a different role than the other two these reflection axes pass through them ...Formal Treatment - Rotational Symmetry With Translational Symmetry

... There are two

... There are two

**rotocenters**per primitive cell. 2-fold**rotocenters**(including possible 4-fold and 6-fold), if present at all, form the translate of a lattice equal to the translational lattice, scaled by a factor 1/2. 3-fold**rotocenters**(including possible 6-fold), if present at all, form a regular hexagonal lattice equal to the translational lattice, rotated by 30 ...Square Lattice - Symmetry

... A pattern with 4-fold rotational symmetry has a square lattice of 4-fold

... A pattern with 4-fold rotational symmetry has a square lattice of 4-fold

**rotocenters**that is a factor √2 finer and diagonally oriented relative to the ... square grid which is as fine as, and oriented the same as, the square lattice of 4-fold**rotocenters**, with these**rotocenters**at the centers of the squares formed by the reflection axes ... the arrangement within a primitive cell of the 2- and 4-fold**rotocenters**(also applicable for p4g and p4m) ...Main Site Subjects

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