Geometry: Passage to SpaceExplores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.
Concatenation of Arcs in GeometryDelves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.
Geometry of Surfaces in R²Explores the geometry of surfaces in R², including implicit descriptions, critical points, and regular surfaces.
Conicity in ModelingExplores conicity in modeling, addressing challenges at corners and simplifying geometry through the imposition of conicity at vertices.
Ellipses and ConicsExplores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.
Geometry: Menaeus de VitruveExplores conical and gnomonic curves, celestial representations, and solar paths through sketches and modeling tools.
Surfaces in GeometryExplores surfaces with constant curvature, rules between geometric elements, and the generation of sections in geometry.
Geometry: Instrument EpicycleExplores the invention of instruments by artists like Albrecht Dürer to draw complex curves and lines not achievable with a ruler.