Division in Extreme and Mean Ratio: DEMR

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Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Explores the historical evolution of geometric instruments and the transition to modern CAD software for architectural design.

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

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

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Delves into ancient geometric means and their modern applications in geometry.

Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.