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SFA-5 | Geometry of Architectural Shapes

Compulsory Course | Hours/Week: 2C+1L | ECTS Credits: 3

Titulari:

conf.dr.arh. Iulius Ionescu

conf.dr.arh. Doina Niculae

Teaching Staff:

asist. dr. arh. Sorana Untanu, asist. arh. Valeria Potenchi, prep. arh. Ioana Avram

Learning outcomes:

Using descriptive geometry means, students are taught geometric forms with direct application in design (Polyhedral forms: plane and spatial equipartitions, geodesic domes, plane and spatial structures, folded surfaces; Ruled surfaces: geometry of vaults, hyperbolic paraboloid, helicoidal stairs).

Content:

Lectures:
1. Semi-regular polyhedrons. Properties, representation.
2. Plane and spatial equipartitions.
3. Plane structures. Geodesic domes.
4. Geodesic domes in the double layer. Folded surfaces. Application in architecture.
5. Shadows construction in axonometric projection.
6. Shadows construction in double orthogonal projection.
7. Ruled surfaces. Definitions, classifications.
8. Conical and cylindrical surfaces. Representation, plane sections, unfolding.
9. Geometry of vaults. Bitangential valuts, hemispherical vault with pendants, moldavian vault.
10. Hyperboloids - applications in architecture.
11. Hyperbolic paraboloids. Representation, applications in architecture.
12. Cylindroid. Representation, applications in architecture.
13. Conoidal surfaces. Representation, applications in architecture.
14. Helicoidal surfaces. Representation, applications in architecture.

Practical works:
1. Intersections of two semi-regular polyhedrons.
2. Spatial equipartitions.
3. Shadows construction in axonometric projection.
4. Shadows construction in double orthogonal projection.
5. Hemispherical vault with pendants; axonometric view.
6. Moldavian vault; axonometric view.
7. Helicoidal surfaces; applications in architecture.

Teaching Method:

Lectures and computer examples, study on 3D scale model, practical works with guidance.

Assessment:

Average of practical works (40%) + final exam (60%)

Bibliography:

M. ENACHE şi I. IONESCU, Descriptive Geometry and Perspective, Ed. Did.şi Ped., Bucureşti,1983; Geometry of Architectural Space – vol. 2, breviar IAIM 1981
TĂNĂSESCU, A., Descriptive Geometry, Axonometry and Perspective, Ed. Tehnică, 1975;
GHEORGHIU, Adrian, Geometria poliedrelor şi a reţelelor.

Notes:

A test whose aim is to verify students knowledge about theoretical concepts taught at courses is also a part of the final exam. This theoretical test can increase (if the answers are good) or decrease (if the answers are not good) the exam mark with one point.