GEOMETRIC FOUNDATIONS AND ARCHITECTURAL GEOMETRY

Geometry is the graphical language of design. In this course, we will immerse into the core of geometry to understand and solve design, construction and fabrication problems through mathematics.

PG.AG Analytical Geometry

With a mixture of theoretical blackboard sessions and applied Grasshopper practices, geometric concepts will be explained and expanded

  • Coordinate systems and their application to CAD.

  • Analytical geometry (Part 1): vectors, lines and planes. Solids. Examples of art, design and architecture.

  • Analytical geometry (Part 2): the geometry of transformation. Iconic buildings that can be explained as transformations of simple solids.

  • Introduction to differential geometry: parametrization of curves and surfaces. 

  • A mathematical vision in CAD: free-form tools. Simply constructible surfaces.

PG.SG Synthetic Geometry

A practical toolset of applied geometry to provide fluency and control on the use of Grasshopper and its environment while practising geometric concepts and the tools to work with it.

  • Coordinate Systems. Data structures and points. Lines, curves, vectors

  • Surfaces, solids, planes

  • Meshes. Mesh operations. Mesh tools. Dynamic meshes