Symmetry operations of semi-symmetric molecules with Clifford algebra

In this thesis, vector spaces and linear space definitions have been done and in these spaces a new multiplication has been expressed. After the general definition of the Clifford algebra, the geometrical properties of Clifford algebra in different dimensions are investigated, it is also applied to the symmetry operations, as well. The rotational axis and planes of reflection are defined belonging to the Archimedean solids. Symmetry groups of Archimedean solids are established. The symmetry operations defining the Clifford algebra are applied to the Archimedean solids. Advantageous and compact representations of symmetry operations with Clifford algebra are obtained.