Regular Pentagon ConstructionExplores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.
Distance AxiomsCovers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
Self-Avoiding Random WalksExplores self-avoiding random walks and their mathematical models, emphasizing the importance of paths that are self-avoiding.
Quadrature & RectificationExplores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.
Pythagorean TheoremIntroduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.
Symmetry in GeometryExplores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.
Mediatrix and BisectorExplores the mediatrix and bisector properties in right-angled triangles through proofs and constructions.
