frieze groups, listed in the summary table. Many authors present the frieze groups in a different order. The actual symmetry groups within a frieze group...

Glide-reflection symmetry is seen in frieze groups (patterns which repeat in one dimension, often used in decorative borders), wallpaper groups (regular tessellations...

Frisian wool Frieze Art Fair, a London art fair Frieze (magazine), a London-based art magazine Frieze group, a mathematical concept Frieze (horse), a British...

isomorphic to the standard group C = C∞ and to Z, the additive group of the integers. An example is the first frieze group. Here there are no finite cycles...

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. There...

the group under consideration. Groups representable in this notation include the point groups on the sphere ( S 2 {\displaystyle S^{2}} ), the frieze groups...

alone was almost 20 metres (65' 11/16") wide. The base was decorated with a frieze in high relief showing the battle between the Giants and the Olympian gods...

dihedral group represents the frieze group symmetry, p1m1, seen as an infinite set of parallel reflections along an axis. Every dihedral group is generated...

complexity between the simpler frieze groups and the three-dimensional space groups. A proof that there are only 17 distinct groups of such planar symmetries...

along the axis a discrete point group, frieze group, or wallpaper group in a plane, combined with any symmetry group in the perpendicular direction all...

The Parthenon frieze is the high-relief Pentelic marble sculpture created to adorn the upper part of the Parthenon's naos. It was sculpted between c. 443...

one-dimensional line groups. They are the infinite limits of the discrete two-dimensional point groups Cn and Dn: There are 7 frieze groups, which involve reflections...

subgroup of a Hausdorff group is closed. every discrete subgroup of a compact Hausdorff group is finite. Frieze groups and wallpaper groups are discrete subgroups...

There are 7 frieze groups in two dimensions, consisting of symmetries of the plane whose group of translations is isomorphic to the group of integers...

The Frieze of Parnassus is a large sculpted stone frieze encircling the podium, or base, of the Albert Memorial in London, England. The Albert Memorial...

(unbounded) achiral figure which has no axis of symmetry. Its symmetry group is a frieze group generated by a single glide reflection. In three dimensions, every...

algebroid Lattice (group) Lattice (discrete subgroup) Frieze group Wallpaper group Space group Crystallographic group Fuchsian group Modular group Congruence...

Frieze groups are magnetic 1D line groups and layer groups are magnetic wallpaper groups, and the axial 3D point groups are magnetic 2D point groups....

of the group. The orbifold notation is a unified notation, also applicable for wallpaper groups and frieze groups. The crystallographic groups have n...

the object. They are the finite symmetry groups on a cone. For n = ∞ they correspond to four frieze groups. Schönflies notation is used. The terms horizontal...

wallpaper group and one is in p4m. Tilings in 2-D with translational symmetry in just one direction may be categorized by the seven frieze groups describing...

dihedral group of S1. Non-bounded figures may have isometry groups including translations; these are: the 7 frieze groups the 17 wallpaper groups for each...

Crystal system Frieze group Isometry Lattice Point group Point groups in two dimensions Point groups in three dimensions Space group Symmetry group Translational...

out as a wallpaper with a wallpaper group such as pmm, while the border may be laid out as a frieze of frieze group pm11, pmm2 or pma2. Turkish and Central...

groups, organized by crystal system or lattice type, and by their point groups: Point group Crystallographic point group Space group Rod group Frieze...

Frieze Art Fair is an annual contemporary art fair first held in 2003 in London's Regent's Park. Developed by the founders of the contemporary art magazine...

The Bassae Frieze is the high relief marble sculpture in 23 panels, 31 m long by 0.63 m high, made to decorate the interior of the cella of the Temple...

are 8 enantiomorphic pairs. Point group Crystallographic point group Space group Line group Frieze group Layer group Hitzer, E.S.M.; Ichikawa, D. (2008)...

Examples of groups List of the 230 crystallographic 3D space groups Examples of Markov chains Examples of vector spaces Fano plane Frieze group Gray graph...

also a useful concept for frieze groups which are often used to classify artistic patterns. In that case, the 7 frieze groups with the addition of color...