Architecture Degree Programme at “Ion Mincu” University of Architecture and Urban Planning

The Faculty of Architecture / Architecture (English taught)
1st Year, sem 1, 2023-2024

BP1-15E | Mathematical models in architecture

Compulsory Course | Hours/Week: 1C+1S | ECTS Credits: 2

BP1-15E Guidelines Mathematical Models Exam.pdf


Course Leader:
conf.dr.arh. Anca Vitcu
Teaching Staff:
Teaching language:


Learning outcomes:

a) knowledge on history and interferences among architectural, art, computer science and mathematical theories;
b) knowledge of modern mathematics as important vehicle in the development of contemporary techniques in architecture;
c) brief introduction in operational research applied to architectural projects to meet clients requests in relationship with time, costs and construction rules and regulations.


Mathematical thinking and language have played an important role in the development of culture by influencing the way people view and conceptualize reality. The journey from natural to complex numbers and later to fractals, and the employment of algorithms in form generation, the shift in architecture from metric space to topological space changed the whole human history by changing the sense of the words “time” and “space”. The mathematical course inquires the way in which this evolution influences the creation and arrangements of forms and volumes in the architectural space, beginning with the first archaic civilizations until the end of the XX century. In light of these, the projects we develop are inspired from nature and the shapes/volumes are redesigned as actors of architectural spaces by experiencing concepts as: cellular automaton, Voronoi diagrams, fractal structures, topological transformations. Projects implementation is performed using Autodesk Maya 2016.
On the other hand, the discussions on contemporary architecture will be also approached as project management/operational research problems through a range of optimization techniques, referring to specialized software packages (ex. Autodesk Revit).

Teaching Method:

Customized lectures and applications


Project development - assessment during the semester and the final presentation (100%)


Architectural Design: Parametricism 2.0 - Rethinking Architecture's Agenda for the 21st Century, Wiley, March/April 2016;
Architectural Design: Pavilions, Pop-Ups and Parasols: The Impact of Real and Virtual Meeting on Physical Space, Wiley, May/June 2015;
Architectural Design: Empathic Space - The Computation of Human-Centric Architecture, Wiley, September/October 2014;
Architectural Design: Computation Works-The Building of Algorithmic Thought, Wiley, March/April 2013;
Architectural Design: Inside Smartgeometry: Expanding the Architectural Possibilities of Computational Design, Wiley, March 2013;
Architectural Design: Mathematics of Space, Wiley, July/August 2011;
Architectural Design: Protocell Architecture, Wiley, March/April 2011;
Architectural Design: The New Structuralism - Design, Engineering and Architectural Technologies, Wiley, July/August 2010;
Architectural Design: Exuberance - New Virtuosity in Contemporary Architecture, Wiley, March/April 2010;
Architectural Design: Patterns of Architecture, Wiley, November/December 2009;
Architectural Design: Digital Cities, Wiley, July/August 2009;
Architectural Design: Closing the Gap, Wiley, March/April 2009;
Architectural Design: Versatility and Vicissitude, Wiley, March/April 2008;
Architectural Design: Elegance, Wiley, January/February 2007;
Architectural Design: Collective Intelligence in Design, Wiley, September/October 2006;
Architectural Design: Programming Cultures, Wiley, July/August 2006;
HENSEL Michael: Performance-Oriented Architecture: Rethinking Architectural Design and the Built Environment, Wiley, 2013;
PALAMAR Todd: Mastering Autodesk - Maya 2016, Wiley & Sons, 2016;
TERZIDIS Kostas: Algorithmic Architecture, Elsevier, 2006;
VITCU Anca: Bio-Inspired Architecture as Performance Orientated System, in Vol. On Form and Pattern, Ed. Academiei Române, 2015.