Credits: 5

Schedule: 01.03.2019 - 24.05.2019

Teacher in charge (valid 01.08.2018-31.07.2020): 

Taneli Luotoniemi

Contact information for the course (applies in this implementation): 

Teacher: Taneli Luotoniemi

Teaching Period (valid 01.08.2018-31.07.2020): 

IV-V 2018-2020

Learning Outcomes (valid 01.08.2018-31.07.2020): 

During the course students will learn to understand some of the spatial constraints governing visual making, how they relate to each other, and what are the geometric and topological concepts used to refer to them. The students will learn how to represent structures and spaces in interesting and effective means. They will also learn to recognize and contextualize various geometric and topological phenomena, talk about them using appropriate vocabulary, solve spatial problems arising from their own practice, and know where to find further information about them. Dealing with the properties of polygons, meshes, solids and their projections, many contents of the course are perfect for application in digital technologies such as programming, CAD and 3D printing.

Content (valid 01.08.2018-31.07.2020): 

Topics discussed include tilings and patterns, polyhedra, space-fillings, symmetries, projections, perspective, topology, hyperbolic and projective geometries, knots, 4-dimensional space, geometry in fiction, and mathematical art.

Assessment Methods and Criteria (valid 01.08.2018-31.07.2020): 

The working methods include lectures, demonstrations, exercises, workshops and discussions. The assessment is based on activity during the meetings and on the exercises, where the focus is on the treatment of the subject, artistic inventiveness, and the articulated and careful execution.

Workload (valid 01.08.2018-31.07.2020): 

Contact teaching 44 h
Individual/group work 91 h

Study Material (valid 01.08.2018-31.07.2020): 

The course doesn't have mandatory reading, but the students are provided with a list of relevant literature and webpages for further inquiries.

Grading Scale (valid 01.08.2018-31.07.2020): 


Registration for Courses (valid 01.08.2018-31.07.2020): 


Further Information (valid 01.08.2018-31.07.2020): 

Maximum amount of students:25

UWAS course selection criteria: Registration order is not the primary selection criteria for this course. In order to ensure that students from different programs and schools of Aalto University may take UWAS courses, the selection is also based on the variety of students' disciplines. Master's students are also welcome.

Additional information for the course (applies in this implementation):

Details on the schedule (applies in this implementation): 

Tentative program:

1.3. Topology
8.3  Surface classification (Kirsi Peltonen)
15.3. Non-orientable surfaces & Projective geometry
22.3. Life in 2D
29.3 Minimal surfaces (Kirsi Peltonen)
5.4 Tilings in the Plane

No classes on 12.4. & 19.4.

26.4 Origami (Kirsi Peltonen)
3.5. ?
10.5. Polyhedra & space-fillings
17.5. Projections
24.5. Fourth spatial dimension


Registration and further information