### Some articles on *group, icosahedral group, groups*:

600-cell - Coordinates

... When interpreted as quaternions, the 120 vertices of the 600-cell form a

... When interpreted as quaternions, the 120 vertices of the 600-cell form a

**group**under quaternionic multiplication ... This**group**is often called the binary**icosahedral group**and denoted by 2I as it is the double cover of the ordinary**icosahedral group**I ... It occurs twice in the rotational symmetry**group**RSG of the 600-cell as an invariant subgroup, namely as the subgroup 2IL of quaternion left-multiplications and as the subgroup 2IR of ...Point Groups In Three Dimensions - Binary Polyhedral Groups

... The map Spin(3) → SO(3) is the double cover of the rotation

... The map Spin(3) → SO(3) is the double cover of the rotation

**group**by the spin**group**in 3 dimensions ... subgroups of Spin(3) and subgroups of SO(3) (rotational point**groups**) the image of a subgroup of Spin(3) is a rotational point**group**, and the preimage of a point**group**is a subgroup of Spin(3) ... The preimage of a finite point**group**is called a binary polyhedral**group**, represented as , and is called by the same name as its point**group**, with the prefix binary, with double the order of ...### Famous quotes containing the word group:

“A little *group* of willful men, representing no opinion but their own, have rendered the great government of the United States helpless and contemptible.”

—Woodrow Wilson (1856–1924)

Related Phrases

Related Words