Fișa disciplinei:

FI-M SFA-137 Matematica aplicata in arhitectura.pdf

Department:

Study of Form and Ambience

Course Leader:

asist. Claudiu Alexandru Tudoran

Learning outcomes:

The course primarily prepares the students for working with geometric shapes by grounding the basic notions and directly applying them in practical work.
Also, the course aims to develop mathematical knowledge with direct implications in architecture through a logical progression from two-dimensional elements to the generation of surfaces and volumes.

Content:

Course:
1. Elements of geometry in space.
2. Geometric constructions with ruler and compass. The quadrangle.
3. The circle. The triangle. The golden number. The Fibonacci sequence. The golden spiral.
4. Geometric forms. Unfolding. (1)
5. Geometric forms. Unfolding. (2)
6. Cylindrical and conical surfaces.
7. Elements of parametric geometry.

Practical work:
1. Elements of geometry in space: point, line, plane. Applications.
2. Transformation of a referenced image into a quadrilateral shape range.
3. Representation of regulated polygons inscribed in circle: square, pentagon, hexagon, octagon.
4. Representation and unwrapping of regulated geometric shapes. (tetrahedron, cube, octahedron)
5. Representation and unwrapping of regulated geometric shapes. (dodecahedron, icosahedron)
6. Cylinder applications.
7. Cone applications.

Teaching Method:

Lectures accompanied by digital support; on screen computer examples.

Assessment:

The grade is obtained by: evaluating the practical works 50%; active attendance at the course 10%; exam 40%.

Bibliography:

Ionescu, Iuluis, Geometria formelor arhitecturale, Editura Universitară Ion Mincu, 2009
Necipoglu, Gurlu, The Topkapi Scroll – Geometry and ornament in Islamic architecture, The Getty Center Publication Programs, 1995
Tedeschi, Arturo, AAD_Algorithms-Aided Design. Parametric Strategies using Grasshopper, Le Penseur Publisher, 2014