Symmetry and Group TheoryExplores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Symmetry in ChemistryExplores symmetry in chemistry, covering reflection planes, dihedral groups, cubic groups, and geometric shapes.
Tensor Product of RepresentationsCovers constructing tensor products of representations, finding correct bases for matrices, and the importance of symmetry in physics problems.
Symmetry in Modern GeometryExplores symmetry in modern geometry, focusing on isometries, reflections, rotations, and translations, emphasizing the importance of 180-degree rotations.
Symmetry in Modern TopologyExplores fundamental theorems and practical applications of modern symmetry theory, including decorative motifs and linear pattern extensions.