also be cut and connected into an infinite cylinder. Dihedral symmetry in three dimensions Sands, Donald E. (1993). "Crystal Systems and Geometry". Introduction...

In geometry, dihedral symmetry in three dimensions is one of three infinite sequences of point groups in three dimensions which have a symmetry group...

In geometry, a point group in three dimensions is an isometry group in three dimensions that leaves the origin fixed, or correspondingly, an isometry...

angle is, in two dimensions, circular symmetry. The fundamental domain is a half-line. In three dimensions we can distinguish cylindrical symmetry and spherical...

regular hexagon has D6 symmetry. There are 16 subgroups. There are 8 up to isomorphism: itself (D6), 2 dihedral: (D3, D2), 4 cyclic: (Z6, Z3, Z2, Z1) and...

symmetry has all cyclic symmetry, Zn as subgroup symmetries. Reflective circular symmetry has all dihedral symmetry, Dihn as subgroup symmetries. In 3-dimensions...

Finite spherical symmetry groups are also called point groups in three dimensions. There are five fundamental symmetry classes which have triangular fundamental...

edges and vertices. Cyclic symmetries in the middle column are labeled as g for their central gyration orders. Each subgroup symmetry allows one or more...

In group theory, the symmetry group of a geometric object is the group of all transformations under which the object is invariant, endowed with the group...

figures in three dimensions with this symmetry group are said to have octahedral symmetry, named after the regular octahedron, or 3-orthoplex. In 4-dimensions...