AN APPLICATION OF CLIFFORD ALGEBRA ON THE SEMI-SYMMETRICAL ARCHIMEDEAN SOLID TRUNCATED ICOSAHEDRON

Abstract

Mathematical systems are needed to explain and prove the concepts in physics. This could be in algebra. Various algebras have been introduced and discussed by physicists and mathematicians throughout history. In this work, one of them, Clifford algebra, or in other words geometric algebra, is discussed and its application in physics is examined. Today, Clifford algebra provides convenience in many fields. It is frequently used in application areas such as robotics, quantum mechanics, and crystallography. After presenting Clifford algebra and quaternions, symmetry operations with Clifford algebra and quaternions are defined in molecular physics. Here, these symmetry operations are also applied to the fourth Archimedean solid, the truncated icosahedron. Also, the vertices of this solid presented in Cartesian coordinates are calculated