binary octahedral group 예문

• For example, the regular quaternionic lines are in a one-to-one correspondence with the finite subgroups of " U " 1 ( "'H "') : the binary cyclic groups, binary dihedral groups, binary tetrahedral group, binary octahedral group, and binary icosahedral group.
• The binary octahedral group is most easily described concretely as a discrete subgroup of the unit quaternions, under the isomorphism \ operatorname { Spin } ( 3 ) \ cong \ operatorname { Sp } ( 1 ) where Sp ( 1 ) is the multiplicative group of unit quaternions . ( For a description of this homomorphism see the article on quaternions and spatial rotations .)