Explores symmetry in modern geometry, focusing on isometries, reflections, rotations, and translations, emphasizing the importance of 180-degree rotations.
Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.
Explores the synthesis of plane isometries and their composition through axial reflections, rotations, translations, and glided reflections.
Explores rotations as isometries composed of reflections with common axes and the flexibility in choosing rotation axes.
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.
