Generally speaking, an object with **rotational symmetry** is an object that looks the same after a certain amount of rotation. An object may have more than one rotational symmetry; for instance, if reflections or turning it over are not counted, the triskelion appearing on the Isle of Man's flag (see opposite) has three rotational symmetries (or "a threefold rotational symmetry"). More examples may be seen below. The degree of rotational symmetry is how many degrees the shape has to be turned to look the same on a different side or vertex. It can not be the same side or vertex.

Read more about Rotational Symmetry: Formal Treatment

### Other articles related to "symmetry, rotational symmetry":

... uses of pottery wheels to help shape clay vessels, pottery has had a strong relationship to

**symmetry**... pottery created using a wheel necessarily begins with full

**rotational symmetry**in its cross-section, while allowing substantial freedom of shape in the ... tend to exploit or in many cases reduce the original full

**rotational symmetry**to a point where some specific visual objective is achieved ...

... series of point groups in three dimensions (n≥1) with n-fold

**rotational symmetry**about one axis (rotation by an angle of 360°/n does not change the object), and no other

**rotational symmetry**(n=1 ... Cnv (*nn) of order 2n - pyramidal

**symmetry**(abstract group Dn) in biology C2v is called biradial

**symmetry**... we have S2 (1×), also denoted by Ci this is inversion

**symmetry**They are the finite

**symmetry**groups on a cone ...

**Rotational Symmetry**With Translational Symmetry

2-fold

**rotational symmetry**together with single translational

**symmetry**is one of the Frieze groups ... Together with double translational

**symmetry**the rotation groups are the following wallpaper groups, with axes per primitive cell p2 (2222) 4×2-fold rotation group of a parallelogrammic, rectangular, and ... of any lattice (every lattice is upside-down the same, but that does not apply for this

**symmetry**) it is e.g ...

... suggests a deep theoretical insight special relativity is simply a

**rotational symmetry**of our space-time, analogous to the

**rotational symmetry**of Euclidean space (see image right) ... relativity can be derived from this

**rotational symmetry**(the Poincaré group) of Minkowski space-time ...

... For example, the hypercubic lattice has an eightfold

**rotational symmetry**, corresponding to an eightfold

**rotational symmetry**of the hypercube ... a 3D quasicrystal with 8-fold rotation

**symmetry**might be described as the projection of a slab cut from a 4D lattice ... matrix is the aforementioned eightfold

**symmetry**of the hypercube (and the cross-polytope) Transforming this matrix to the new coordinates given by will produce This third matrix then corresponds to a ...

### Famous quotes containing the word symmetry:

“What makes a regiment of soldiers a more noble object of view than the same mass of mob? Their arms, their dresses, their banners, and the art and artificial *symmetry* of their position and movements.”

—George Gordon Noel Byron (1788–1824)