Special Cases of 3 Plane Reflections

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Explores the fundamental theorem of isometries in space and the modern definition of symmetry, emphasizing the complexities of determining symmetries in 3D objects.

Symmetry in Modern Space

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

Isometries: Definition and Examples

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Isometries in Euclidean Spaces

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Geometric Projections: Historical Perspectives and Applications

Explores the evolution of projective geometry and its applications in architectural representation.

Homotheties and Translations

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Symmetries in Plane Geometry

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

Analytical Study of Space

Explores the analytical study of space, covering relative positions, angles, and properties of lines and planes.

Introduction de la ROTORÉFLEXION

Introduces rotoréflexion, a transformation involving reflections and rotations, with practical geometric applications.