### 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 quaternion right-multiplicati ...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 ... connection between 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 ... 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 ...### Famous quotes containing the word group:

“Instead of seeing society as a collection of clearly defined “interest groups,” society must be reconceptualized as a complex network of groups of interacting individuals whose membership and communication patterns are seldom confined to one such *group* alone.”

—Diana Crane (b. 1933)

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