COURSE UNIT TITLE

: ARCHITECTURAL GEOMETRY

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
MIM 1613 ARCHITECTURAL GEOMETRY COMPULSORY 2 0 0 2

Offered By

Architecture

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR AHMET VEFA ORHON

Offered to

Architecture

Course Objective

The purpose of the "Architectural Geometry" course is to provide students with a solid foundation in geometry and its applications in the field of design. This course covers fundamental concepts such as differential and analytical geometry, curves, and surfaces. Students will start by exploring geometric structures like various coordinate systems and conic sections, and then progress to advanced topics such as vectors, parametrization, surface curvature, and quadratic surfaces. Additionally, the course will address the derivation of surfaces, planar and spatial transformations, projections, and polyhedra. By the end of the course, special topics like the golden ratio in architecture will be covered to enable students to integrate their geometry knowledge into design processes. This comprehensive approach will allow students to reinforce their theoretical knowledge and develop skills that they can apply in practical scenarios.

Learning Outcomes of the Course Unit

1   To recognize the fundamental geometric concepts necessary for architectural applications.
2   To define curve geometries parametrically and analytically and apply them in building design.
3   To define surface geometries parametrically and analytically and apply them in building design.
4   To recognize basic geometric transformations in the plane and space and apply them in building design.
5   To understand methods for graphically representing the designed geometry.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Introduction to the course. Fundamental concepts. Design geometry, differential geometry, analytical geometry. Coordinate systems: Cartesian, polar, cylindrical, and spherical coordinates.
2 Curves: Conic sections. Conics (ellipse, circle, parabola, hyperbola) and degenerate conics (point, line, intersecting lines), general conic equations.
3 Curves: Equation of line, ellipse, circle, parabola, and hyperbola.
4 Vectors and their geometric applications.
5 The concept of parametrization. Parametrization of lines. Parametric curves.
6 Surfaces: The concept of curvature, Gaussian curvature. Classification of surfaces according to Gaussian curvature.
7 Quadratic surfaces. Ellipsoid, sphere, cone, paraboloid, elliptical paraboloid, hyperbolic paraboloid, hyperboloid.
8 Midterm Exam
9 Derivation of surfaces. Surfaces of revolution, ruled surfaces, translation surfaces.
10 Derivation of surfaces. Surfaces of revolution, ruled surfaces, translation surfaces.
11 Planar transformations: Translation, rotation, reflection, scaling, shearing, and combined transformations. Tiling of surfaces (tessellation).
12 Spatial transformations: Translation, rotation, reflection.
13 Projections: Parallel projection, central projection, perspective projection.
14 Polyhedra: Platonic solids, Archimedean solids. Geodesic surface derivation.
15 Golden Ratio in Architecture.

Recomended or Required Reading

- Bentley, D. (2007). Architectural Geometry. Bentley Institute Press.
- Catalano, E. (1986). Structure and Geometry. Cambridge Architectural Press.
- Calter, P.A. (2008). Squaring the Circle: Geometry in Art and Architecture. Key
Curriculum Press.
- Hahn, A.J. (2012). Mathematical Excursions to the World's Great Buildings. Princeton
University Press.

Planned Learning Activities and Teaching Methods

Students will be provided with the necessary knowledge to define curve and surface geometries parametrically and analytically and present them graphically in the design processes. Each topic will be accompanied by practical examples. Internet-based interactive mathematical software will be used in the presentation of the topics to ensure better understanding.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 FINS FINAL EXAM
3 FCG FINAL COURSE GRADE MTE * 0.50 + FINS * 0.50
4 RST RESIT
5 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.50 + RST * 0.50


Further Notes About Assessment Methods

None

Assessment Criteria

Mid-term Exam 50% (LO1, LO2, LO3)
Final Exam 50% (LO2, LO3, LO4, LO5)

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Preparations before/after weekly lectures 14 1 14
Preparation for midterm exam 1 5 5
Preparation for final exam 1 5 5
Final 1 2 2
Midterm 1 2 2
TOTAL WORKLOAD (hours) 56

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.1544
LO.2544
LO.3544
LO.4544
LO.555

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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