In geometry, a point group is a mathematical group of symmetry operations (isometries in a Euclidean space) that have a fixed point in common. The coordinate...

In crystallography, a crystallographic point group is a three dimensional point group whose symmetry operations are compatible with a three dimensional...

spectroscopy. Spectroscopic notation is based on symmetry considerations. The point group symmetry of a molecule is defined by the presence or absence of 5 types...

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

In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known...

In geometry, a polar point group is a point group in which there is more than one point that every symmetry operation leaves unmoved. The unmoved points...

under point reflection through its center, it is said to possess central symmetry or to be centrally symmetric. A point group including a point reflection...

group (the images of a given point under all group elements) forms a discrete set. All finite symmetry groups are discrete. Discrete symmetry groups come...

Point Break were a British pop group, formed and managed by Danielle Barnett and signed to WEA, who found brief success between 1999 and 2000. Brett Adams...

two-dimensional point group or rosette group is a group of geometric symmetries (isometries) that keep at least one point fixed in a plane. Every such group is a...