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MIM 338 - Architectural and Artistic Geometry

Faculty of Engineering and Natural Sciences · Architecture · Undergraduate

ECTS: 3 T+P+L: 2+0+0 Departmental Elective
Coordinator: Doç. Dr. Serhat ANIKTAR

Course Objective

To develop the ability to apply mathematical knowledge to solving architectural problems; to provide students with the knowledge and problem-solving culture required to address a wide range of problems that can be solved through mathematical and scientific reasoning; to develop the ability to use problem-solving models and analogies, construct structures such as tables and trees when necessary, formulate algorithms, and evaluate their performance; and to understand geometry in the field of architecture, explore its potentials, and reconstruct, design, and create through geometric thinking.

Course Content

Understanding the basis of mathematical geometry, mathematical formulas in business, involving different methods.

Required Resources

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Recommended Resources

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Explanations

  • Midterm Examination: The date, time, and venue of the midterm examination will be announced by the Dean’s Office.
  • Practical Exercises: Practical exercises will be carried out in accordance with the topics covered during the course. Submission deadlines for each exercise will be announced separately.
  • Quizzes: Quizzes will be announced one week in advance, and the announcement will specify the course content to be covered.
  • Final Submission: The final submission will consist of six practical applications completed throughout the semester. These applications must be integrated into the student's architectural design project developed within the concurrent Architectural Design Studio. For each application topic, students are required to prepare one A3 or B2 presentation board that explains both the theoretical framework of the application and its implementation within the architectural project. Final submissions must be submitted both digitally and in printed format.
  • Final Assessment Policy: As the final assessment is based on a comprehensive project submission rather than a written examination, there is no make-up (resit) examination for this course.

Rules

  1. Attendance: According to the University Regulations, students who fail to attend at least 70% of the total course hours will receive a grade of DZ (Absent) and will automatically fail the course.

    Late Arrival: Students are expected not only to attend class but also to arrive on time. Please note that three late arrivals are considered equivalent to one full absence. A late arrival is defined as entering the classroom after attendance has been taken by the instructor and more than 10 minutes after the scheduled start of the class.

    Seeking Assistance: Students are encouraged to ask questions during class or office hours and to seek assistance whenever necessary. Obtaining timely support is an important part of the learning process and is strongly recommended.

    Academic Integrity: All coursework submitted for assessment must represent your own original work and effort. Acts of academic misconduct, including plagiarism and cheating, are subject to the University's Academic Integrity and Disciplinary Regulations and may result in disciplinary action and the corresponding sanctions.

    Assessment Policy: The assessment methods and grading criteria specified in this syllabus are final. No additional assignments, examinations, or make-up assessments will be offered for the purpose of improving course grades.

Course Learning Outcomes

  1. Geometriye dair (klasik, modern ve karmaşık geometri) ileri düzeyde matematiksel ve teorik bir anlayışa sahip olur
  2. Geometrik desen sanatlarının mimarlıkla ilişkisini Dünya’daki ve yerel örnekler üzerinden kavrar
  3. Mimari desen çizme ve tasarlama becerisi kazanır

Core Area Distribution

(58) Architecture and Building%100

Teaching Methods

ExpressionQuestion-AnswerDiscussionProblem Solving

Assessment & Evaluation

HomeworkPerformance Assignment ( Lab / Workshop / Field Work / Seminar / Presentation / Completion Study / ThesisTesting (Essay / Tests: True-Falls, multiple-choice, short answer, matching)

ECTS / Workload

ActivityQuantityDuration (h)Total Workload
Course Duration (Including Exam Week)15230
Out of Class Study Period14114
Midterm000
Quiz000
Assignment144
Practice13226
Final144

Course Schedule

WeekSubjectPreparation
1Introduction
2Geometry in Art and Architecture. Models, mockups, and prototypes.
3Geometric Drawing Foundation: Dividing a circle into equal parts using a compass and ruler, creating basic polygons.
4"Gereh" (Knot) Rules: The weaving of transition lines (girih) between polygons and stars according to specific ratios.
5Symmetry and Harmony: The duplication (rotation) and spreading (translation) of patterns around a center onto a plane.
6Coloring: The resulting structure is colored using traditional techniques (watercolor, gouache, or ceramic glazes).
7Islamic Geometric Patterns
8Ara SınavAra Sınav
9Tile Patterns
10Stone Patterns
11Wood Patterns
12Muqarnas Patterns
13Term Study
14Term Study
15Term Study
16Final SınavıFinal Sınavı